The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. endobj ejqtde is the abbreviation for Electronic Journal of Qualitative Theory of Differential Equations Electronic Journal of Qualitative Theory of Differential Equations. 2000-2020. Electronic Journal of Qualitative Theory of Differential Equations' journal/conference profile on Publons, with 20 reviews by 12 reviewers - working with reviewers, publishers, institutions, and funding agencies to turn peer review into a measurable research output. $u_i'(t)=f_i\big(t,u_1(\tau_{i1}(t)),u_2(\tau_{i2}(t))\big) (i=1,2)$ This characterization is based on a new decomposition of the maximal domain in terms of LC solutions for real values of the spectral parameter in the Hilbert space of square-integrable functions. [5,8,10] about solutions of differential equations on exterior domains. 4 0 obj Equ.,No. $$Online Access: Full text available on Academic Search Premier [3/1/2003 -] Tags: Add Tag . equation deﬁned by a strongly continuous function or of an integral equation obtained from perturbing a general evolution family. Coverage. ���{�ܳQI��}b؅5�����~�?Z��Y;���� �m�'�m�#^��s�����_G�в����!��}ӜŴ�¹q;�_S6��b��>eG��N�ݐ�]�"X�'5e8k�DI�2F��]V;�-(��c�r��6�,� ���!p-P����l���:����a�xT�D��p�En'���o�]���� Z��D���Wґ����z7�ج��z�?��#�~�Q�}j�{{b����2��{�#�&�M��m'��8��� �/Z�Bd(v �=}[>rׁ�+��F�d���X 0 uxt�?�� ��9�F��u�?�[=I����X~I����ճ�uOV�N��l��S֍�=�Zf�@��ZI?4�]A�c-��� P�� 10th Coll. Theory Differ. The new systems possess non-asymptotically almost periodic solutions. 2000 Mathematics Subject Classification: 92D25, 34C25. Equ. The theory of fractional diﬀerential equations is an important branch of diﬀerential equation theory, which has an extensive physical, chemical, biological, and engineering background, and hence has been emerging as an important area of investigation in the last few decades; see the monographs of Kilbas et al. The overall rank of Electronic Journal of Qualitative Theory of Differential Equations is 9824. Electronic Journal of Differential Equations. /Subtype /Image The mean value theorem is not needed. In: Electronic journal of qualitative theory of differential equations 28. pp. The Electronic Journal of Qualitative Theory of Differential Equations is dedicated to the publication of high quality papers in the broad area of ordinary and partial differential equations, integral equations, and functional differential equations. endobj Published in HUNGARY by Electronic Journal of Qualitative Theory of Differential Equations Electronically available from 1998 -, 2003 - View online We establish a new technique for deducing oscillation of the second order advanced differential equation /R8 75 0 R of differential equations (ODE's, PDE's, integral equations, functional differential equations, etc.) ��E������j�E�V�\gwg�b����k^X{SS"2܃(g�1L� ��4C/��dtH:��>kEz�넞��2S�n��1+��JԗqC��{�U>�ӟ�O�ǁH��KC�/���: �B���@b�')���ޏWo��0���j��2&��D��L~7=��?����p����x? In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation. Although essential technical, this extension is not straight forward as we show it below. Homepage. The Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) was founded by T. A. Burton and L. Hatvani in 1998. 1-12. ejqtde is the abbreviation for Electronic Journal of Qualitative Theory of Differential Equations \varphi\big(u_1(0),u_2(0)\big)=0, u_1(t)=u_1(a), u_2(t)=0 for t\geq a, Electronic Journal of Qualitative Theory of Differential Equations. |2 DE-600 |a Electronic journal of qualitative theory of differential equations |b EJQTDE |c Bolyai Institute, University of Szeged |h online: 246: 3 _ |2 DE-600 |a Electronic journal of qualitative theory of differential equations: 246: 3 _ |a Qualitative theory of differential equations: 246: 3 _ The existence of a unique weak solution for the problem is established using arguments of nonlinear evolution equations with monotone operators, a classical existence and uniqueness result for parabolic inequalities, and Banach's fixed point theorem. In: Electronic journal of qualitative theory of differential equations 20. pp. Saved in: Bibliographic Details; Format: Electronic Journal: Language: English: Published: Szeged, Hungary : Electronic Journal of Qualitative Theory of Differential Equations, 1998-Subjects: Differential equations > Periodicals. << The Electronic Journal of Qualitative Theory of Differential Equations publishes peer-reviewed articles related to "the qualitative theory (stability, periodicity, soundness, etc.) Home > Search Results: Electronic Journal of Qualitative Theory of Differential Equations any field abstract institutional affiliation assignatura author authorcount course id studies plan ID studies id first page fulltext form grant Agreement issn issue subject orcid studies plan professor publication record ID series keyword title studies year It does not change any results presented in the paper, but excludes the mistake of applying the mean value theorem for a complex-valued function of a real variable. Create lists, bibliographies and reviews: or Search WorldCat. Differential equations, difference equations, and dynamic equations on time scales are used for modeling various problems arising in the engineering and natural sciences. (2010), pp. 2, 31 p., electronic only (2003; Zbl 1026.34006)]. Journal Impact. endobj are investigated. Dibandingkan dengan Faktor Dampak historis, Faktor Dampak 2019 dari Electronic Journal of Qualitative Theory of Differential Equations tumbuh sebesar 11.54 %. Electronic Journal of Qualitative Theory of Differential Equations' journal/conference profile on Publons, with 20 reviews by 12 reviewers - working with reviewers, publishers, institutions, and funding agencies to turn peer review into a measurable research output. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness. Theory Differ. stream We study the existence and non-existence of periodic orbits and limit cycles for planar polynomial differential systems of degree n having n real invariant straight lines taking into account their multiplicities. On page 3, before (2.2), instead of “Applying the mean value theorem” it should read “By simple calculations”. << C. Tunc: Some stability and boundedness conditions for non-autonomous differential equations with deviating arguments, E. J. Qualitative Theory of Diff. It presents papers on the theory of the dynamics of differential equations (ordinary differential equations, partial differential equations, stochastic differential equations, and functional differential equations) and their discrete analogs. equations which involve positive eigenvalues were studied in recent years by J. Henderson, R. Luca, S. K. Ntouyas and I. K. Purnaras, by using the Guo-Krasnosel’skii ﬁxed point theorem. S��.�����p 28 0 obj 1-12. We thank this success to … Research articles are refereed under the same standards as those used by the printed journals. << This addendum concerns the paper of the above title found in Z. In this paper we consider the differential system (1.1) Electronic Journal of Qualitative Theory of Differential Equations 2020, No. endobj with help of a suitable equation of the form x�+T0�3T0 A(��˥d��^�U�ha�g642��3�3 3C�R�|�@ ��(�� and their applications." << /S /GoTo /D (section.1) >> (Persistence of chaos) /PTEX.PageNumber 1 That w as done b y M. Otelbaev [6] who found the conditions of oscillation and nonoscillation Sturm-Liouville's equation. 24 0 obj We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. JohnnyHenderson, Rodica Luca, Positive solutions for systems of second-order integral boundary value problems, Electronic Journal of Qualitative Theory of Differential Equations, 2013, No. Articles are indexed by Math Reviews, Zentralblatt für Mathematik, and Thomson Reuters web of knowledge. << (Preliminaries) �� �K���X��5���uw�QXą�)(�r{�4�g&l�XLf�4�~H�ؚ������9��z�w/]��ᔜ��_����g�p�������Uh}��g�S�(F�]ҠKtς/��� ���ض����%s6�� ���B,f�oc�PT@���D���&v��ۃ�2���P�%r��p�d�3�}�� ��2�PE ��b+��� 60, pp. We study a mathematical problem describing the frictionless adhesive contact between a viscoelastic material with damage and a foundation. /PTEX.FileName (./tink-eps-converted-to.pdf) The Open Access Electronic Journal of Qualitative Theory of Differential Equations is available through World Wide Web and it has a mailing list too. The objective of this paper is to clarify the relationship between the C1-smooth dependence of solutions to delay differential equations (DDEs) on initial histories (i.e., initial conditions) and delay parameters. , !4.763.22:ASF:=N>22HbINVX]^]8EfmeZlS[]Y�� C**Y;2;YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY�� �" �� /Length 2769 \mathcal{D}_iu_i=0, & t>0, \ x\in \partial\Omega, \ i=1,\dots, N. We study a class of nonlinear Duffing equations with a deviating argument and establish some sufficient conditions for the existence of positive almost periodic solutions of the equation. (�� /Contents 65 0 R >> Journal of Differential Equations. 16 0 obj Online Access: Full text available on Academic Search Premier [3/1/2003 -] Tags: Add Tag . The Journal Impact 2019-2020 of Electronic Journal of Qualitative Theory of Differential Equations is 0.870, which is just updated in 2020. \frac{\partial u_i}{\partial t} = \nabla[\mu_i \nabla u_i - \alpha_i u_i \nabla\tilde{f}_i(x)] + f_i(t,x,u_1, \dots, u_N)u_i,& t>0, \ Electronic Journal of Qualitative Theory of Differential Equations Impact Factor, IF, number of article, detailed information and journal factor. 2019, No. 74 0 obj endobj$$ The obtained abstract result is applied to a non regular boundary value problem for a second order partial differential equation of an elliptic type in a cylindrical domain. We emphasize that the last notion is ubiquitous in the context of ergodic theory: for almost all trajectories with nonzero Lyapunov exponents of a measure-preserving flow, the linear variational equation admits a strong nonuniform exponential dichotomy. Open Access stands for unrestricted access and unrestricted reuse. For a dynamics with continuous time, we consider the notion of a strong exponential dichotomy with respect to a family of norms and we characterize it in terms of the admissibility of bounded solutions. Electronic Journal of Qualitative Theory of Differential Equations. /ExtGState << /Filter /FlateDecode J. Iaia, "Existence for Semilinear Equations on Exterior Domains," Electronic Journal of Qualitative Theory of Differential Equations, 108, 2016, pp. The results show that the origin is an attractor for any set of parameter values. The Journal of Differential Equations is concerned with the theory and the application of differential equations. Namely, in [2], the authors give suﬃcient conditions for λ, µ, f and g such that the system of diﬀerential equations (S1) ˆ When f grows superlinearly at inﬁnity i.e. Journal provider: Bolyai Institute, University of Szeged ISSN: HU ISSN 1417-3875. Electronic journal of qualitative theory of differential equations. 7 �=���N�#鿂�U~�� 13 0 obj /ProcSet [ /PDF /ImageC ] We recount the main fields of his scientific activity (stability theory, potential theory, probability theory, shape of planets) concerning stability theory and chaos in details. The Electronic Journal of Qualitative Theory of Differential Equations is dedicated to the publication of high quality papers in the broad area of ordinary and partial differential equations, integral equations, and functional differential equations. Electronic Journal of Combinatorics Electronic Journal of Qualitative Theory of Differential Equations - University of Szeged Electronic Proceedings of the International Conference on Technology in Collegiate Mathematics (EPICTCM) Electronic Journal of Qualitative Theory of Diﬀerential Equations 2012, No. ���� Adobe d �� C The outstanding Russian mathematician Aleksandr M. Lyapunov passed away one hundred years ago, on November 6, 1918. \left(r(t)u'(t)\right)'+p(t)u(\sigma(t))=0 Saved in: Format: Electronic: Language: English: Published: Szeged, Hungary : Electronic Journal of Qualitative Theory of Differential Equations, 1998-Subjects: Differential equations > Periodicals. The Journal of Evolution Equations publishes high-quality, peer-reviewed papers on equations dealing with time dependent systems and ranging from abstract theory to concrete applications.. Research articles should contain new and important results. Conditions on the parameter values are derived to show that the positive equilibrium point can be emerged or annihilated through transcritical bifurcation at axial equilibrium points. … In this work, we analyze a bi-dimensional differential equation system obtained by considering Holling type II functional response in prey–predator model with strong Allee effect in prey. endobj m|J��QEY�QE QE QE QE QE QE QE QE QE QE T2M���#>�=M%��=��7J�(��>��!�3��,ǫ��vFnNO�?1c�&I;��cޤ�����i%� /BitsPerComponent 8 Special Edition I (2009) Honoring the Career of John Graef on the Occasion of His Sixty-Seventh Birthday. (2010), pp. Publication type. 20 0 obj 1 … ISSN: 1417-3875. Keywords: periodic Ricker map, difference equations, global stability. A peer-reviewed, open access journal in mathematics, differential equations, qualitative theory, dynamical systems & integral equations. with piecewise constant argument, functional differential equation, and even a hybrid system. /Length 6894 1-7. Survey articles on recent developments are also considered as important contributions to the field. Journals Articles. 22, 1–20], Infinitely many solutions for $2k$-th order BVP with parameters, Multiple positive solutions for a nonlinear 2n-th order m-point boundary value problems, A note on a linear spectral theorem for a class of first order systems in ℝ 2N, Criticality of one term 2n-order self-adjoint differential equations, Remark on local boundary regularity condition of suitable weak solutions to the 3D MHD equations, Regularity criteria for the 3D tropical climate model in Morrey–Campanato space, Remark on regularity criteria of a weak solution to the 3D MHD equations, Even Number of Positive Solutions for 3n th Order Three-Point Boundary Value Problems on Time Scales, Asymptotic formulas for a scalar linear delay differential equation Dedicated to Professor Tibor Krisztin on the occasion of his 60th birthday, Special issue: Honoring the career of John Graef on the occasion of his 67th birthday, Universal centers in the cubic trigonometric Abel equation, The number of zeros of Abelian integrals for a perturbation of a hyper-elliptic Hamiltonian system with a nilpotent center and a cuspidal loop, Hardy type unique continuation properties for abstract Schrödinger equations and applications, Global solutions for abstract functional differential equations with nonlocal conditions, Fredholmness of an abstract differential equation of elliptic type, Existence and continuous dependence of mild solutions for fractional abstract differential equations with infinite delay, A system of abstract measure delay differential equations, Periodic orbits for real planar polynomial vector fields of degree n having n invariant straight lines taking into account their multiplicities, Cauchy problems for functional evolution inclusions involving accretive operators, Addendum to: “Alternative analysis generated by a differential equation”, Bilateral contact problem with adhesion and damage, Oscillation and spectral properties of self-adjoint even order differential operators with middle terms, Characterization of domains of self-adjoint ordinary differential operators of any order, even or odd, Strong and weak admissibility of L ∞ spaces, On nonnegative solutions of nonlinear two-point boundary value problems for two-dimensional differential systems with advanced arguments, Oscillation of the second order advanced differential equations, Permanence in N species nonautonomous competitive reaction-diffusion-advection system of Kolmogorov type in heterogeneous environment, On a reaction–diffusion–advection system: Fixed boundary or free boundary, Aleksandr Lyapunov, the man who created the modern theory of stability, Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation. theory of di eren tial equations. Besides, the criteria for spreading and vanishing are further established. With Open Access, researchers can read and build on the findings of others without restriction. ISSN / eISSN 1417-3875. Equ.,No. ��0�4�O��Ҁw" ��_�Cv�*��9&o�(Z8�Ŷu\rS�y���*k��-\�������q'��{\I): 1-19. theory of di eren tial equations. 2010 Mathematics Subject Classiﬁcation: 39A30, 37E05, 37N25. In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. (An example) These LC solutions reduce to Weyl limit-circle solutions in the second order case. 12 0 obj In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. Much scientific and medical research is paid for with public funds. endobj >> Electronic Journal of Qualitative Theory of Differential Equations . 14173875. >> Thanks to the European Mathematical Society, the Electronic Journal of Qualitative Theory of Differential Equations is also available at several mirror sites. stream The transformation can be done by arbitrarily small changes. In this paper existence and uniqueness results for an abstract measure delay differential equation are proved, by using Leray-Schauder nonlinear alternative, under Carathéodory conditions. The authors investigate the algebraic structure of the space of solutions to autonomous nonlinear differential equations of certain type. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite field with an absolute value. /Height 258 The Electronic Journal of Qualitative Theory of Differential Equations is a completely open access journal available online. Equ. Electronic Journal of Qualitative Theory of Differential Equations. As a nontrivial application, we establish the robustness of the notions of a strong exponential dichotomy and of a strong nonuniform exponential dichotomy. with the boundary conditions (1.2) 1. Some open problems and perspectives of further research are discussed. BEmail: iaia@unt.edu In this respect, our work can be considered as an extension of Yakubov's results to the case of boundary conditions containing a linear operator. In: Electronic journal of qualitative theory of differential equations … Z. Khukhunashvili and V. Z. Khukhunashvili [Electron. Study of dynamical properties in a bi-dimensional model describing the prey–predator dynamics with strong Allee effect in prey. In the example provided in Section5, we consider the function F as a discontinuous one. In addition, in order to prove our main results, some basic and important properties about pseudo almost periodic sequences are presented. \begin{equation*} Applying Ahmad and Lazers definitions of lower and upper averages of a function and using the sub- and supersolution methods for PDEs we give sufficient conditions for permanence in such models. Close. (�� L��5s �_W�{�\����k7�z2���j��3Bʋ%L�O~�Ƕh;[o�D����b�7�{׹�gM�Ţ�o��+��Pt{.m���h.m�3�tD�Z(z�01 �L�ɎY�ڞ��+�9��g)����Y�;T��3R*O�� ��˙Uړ[�T>;��X��4�XZ��M�gK_��4����XN�P����h33%��EcT"L4���1��لo�v�Xo�Ǵ�1���f% �d:}��EK�[�@ 65 0 obj Journals. /Parent 72 0 R It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist. stream /OPM 1 One of the important consequence of this modification is the existence of separatrix curve which divides the behaviour of the trajectories in the phase plane. 1-7. �ʑ�)4&����ڳlh���;I���V(N���QE�!8�Sb� T��ۃ�X��Ǌ�T�'�EUQE QE QE QE QE QE ^��Z[����DY�AV+.��?P{���>��M�*d�"$��n�66�3�C\JwH����U�) �ɦ���I%b�#��&��F?���SM������Z�QK�}L����QEhjQE V?%��� -P��?��5��I��@���Ԑ�P��Jc#�dN��?ҥ���!�3�ӵKS��]{�QTPQE QE QE QE QE QECV��B};yi힧�j�����T�� J�$n�ڮ����ZUնg[�V�VVX���O��T7+. Journals: ISSN: 10726691, 15506150: Coverage: 1996-2020: Scope: All topics on differential equations and their applications (ODEs, PDEs, integral equations, delay equations, functional differential equations, etc.) Homepage. 49, 1-14; ... equations which involve positive eigenvalues were studied in recent years by J. Henderson, ... problems in the theory of elastic stability can be handled as multi-point prob- 2010. Electronic Journal of Qualitative Theory of Differential Equations 2020, No. ��]�+�d�^�U�H��T�ikg����>�~9�[��z���h)�=���C#.�$�_�qOƟ���O����������@�V� \E0��g �甦�j���OA�hc�>�v�˱[[�����vύ�T�t�)ve�ugY�'Ηծ��Uì��z0d�d{�p^ Ecological interpretations of all analytical results are provided thoroughly. The presented criteria improve and extend previous results in the literature. Search by keywords: In the field: Search. and their applications." equation, and in particular we prove it for p = 3. Equ. This paper is devoted to the asymptotic behaviors of the solution to a reaction–diffusion–advection system in a homogeneous environment with fixed boundary or free boundary. 30 0 obj %PDF-1.5 For the free boundary problem, the spreading–vanishing dichotomy is proved, i.e., the solution either spreads or vanishes finally. The Journal of Dynamics and Differential Equations answers the research needs of scholars of dynamical systems. 5 0 obj ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS (EJDE) Since its foundation in 1993, this e-journal has been dedicated to the rapid dissemination of high quality research in mathematics. ISSN: 1417-3875. Therefore long-term coexistence of both populations is possible or they can go to extinction. /Filter /FlateDecode In this paper we consider$N$species nonautonomous competitive reaction-diffusion-advection system of Kolmogorov type in heterogeneous environment. The contact is bilateral and the tangential shear due to the bonding field is included. \begin{cases} /PTEX.InfoDict 73 0 R Compared with historical Journal Impact data, the Metric 2019 of Electronic Journal of Qualitative Theory of Differential Equations grew by 11.54 %. A particular attention is devoted to the fourth order operators with a middle term, for which new (non)oscillation criteria are derived. H. Redwane: Existence results for a class of nonlinear parabolic equations in Orlicz spaces, E. J. Qualitative Theory of Diff. Our technique is based on new monotonic properties of nonoscillatory solutions, and iterated exponentiation is employed. /FormType 1 We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. endobj The optimal, in a certain sense, sufficient conditions are obtained for the existence and uniqueness of a nonnegative solution of the problem (1.1), (1.2). ∥); the history u t :(-∞,0]→X, defined by u t (θ):=u(t+θ), belongs to some abstract phase space ℬ defined axiomatically, φ∈ℬ and ρ,f,g are appropriated functions. 1 Introduction A basic question in the qualitative theory of dynamical systems is “under what conditions does 25 0 obj 8 0 obj Commutative and conjugate commutative groups are given which lead to the conjugate differential equations. /ModDate (D:20171019084242+02'00') �7tn���f r� ��N��w�mѕ�{�l?n��c-|� �n�xD����� o����O�G�Bp���58��z�_^ 1 0 obj Axial equilibrium points are stable or unstable according to the different parametric restrictions. 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