theory of di eren tial equations. We give also a lower estimation on the numbers $\delta_i$ which appear in the definition of permanence in form of parameters of system \begin{equation*} /OPM 1 The results are supported with several illustrative examples. K|[ml���Põ�(u~���&B%���(HT�BX!G�<2���n��E%�ա��}�;[\��]8>��o@N��m-�a5 '�u�m0.a�?�\'�J9Y�����yw۔=m The unique positive equilibrium point, if it exists, can be either an attractor or a repeller surrounded by a limit cycle, whose stability and uniqueness are also established. /Producer (MiKTeX GPL Ghostscript 9.05) 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. A peer-reviewed, open access journal in mathematics, differential equations, qualitative theory, dynamical systems & integral equations. Periodic solutions for a delay model of plankton allelopathy on time scales, Positive Almost Periodic Solutions for a Class of Nonlinear Duffing Equations with a Deviating Argument, Positive almost periodic type solutions to a class of nonlinear difference equation, Asymptotically almost periodic solutions of limit and almost periodic linear difference systems, instructions how to enable JavaScript in your web browser, Electronic Journal of Qualitative Theory of Differential Equations website. Equ.,No. The existence of two heteroclinic curves is also established. /PTEX.FileName (./tink-eps-converted-to.pdf) 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. 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ISSN. equation, and in particular we prove it for p = 3. endobj stream Journals Articles. In: Electronic journal of qualitative theory of differential equations 20. pp. Research articles are refereed under the same standards as those used by the printed journals. /R8 75 0 R �� �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+��� Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure of noncompactness. /Filter /DCTDecode In this paper, we prove the existence, uniqueness, and continuous dependence of the mild solutions for a class of fractional abstract differential equations with infinite delay. Keywords: periodic Ricker map, difference equations, global stability. 1-7.$$ISSN: 1417-3875. Published in HUNGARY by Electronic Journal of Qualitative Theory of Differential Equations Electronically available from 1998 -, 2003 - View online Proceedings of conferences are also available in the journal. … In: Electronic journal of qualitative theory of differential equations 25. pp. /Contents 65 0 R ��9�F��u�?�[=I����X~I����ճ�uOV�N��l��S֍�=�Zf�@��ZI?4�]A�c-��� P�� << endobj Scope. endobj 28 0 obj \begin{equation*} 1 0 obj L��5s �_W�{�\����k7�z2���j��3Bʋ%L�O~�Ƕh;[o�D����b�7�{׹�gM�Ţ�o��+��Pt{.m���h.m�3�tD�Z(z�01 �L�ɎY�ڞ��+�9��g)����Y�;T��3R*O�� ��˙Uړ[�T>;��X��4�XZ��M�gK_��4����XN�P����h33%��EcT"L4���1��لo�v�Xo�Ǵ�1���f% �d:}��EK�[�@ Special Edition I (2009) Honoring the Career of John Graef on the Occasion of His Sixty-Seventh Birthday. 82, ... [5,8,10] about solutions of differential equations on exterior domains. We emphasize that the last notion is ubiquitous in the context The Electronic Journal of Qualitative Theory of Differential Equations publishes peer-reviewed articles related to "the qualitative theory (stability, periodicity, soundness, etc.) /Creator ($$ImageMagick$$) That w as done b y M. Otelbaev [6] who found the conditions of oscillation and nonoscillation Sturm-Liouville's equation. x�+T0�3T0 A(��˥d��^�U�ha�g642��3�3 3C�R�|�@ It is interesting to note that the problems considered in cylindrical domains are not coercive. Electronic Journal of Qualitative Theory of Differential Equations 2020, No. Electronic Journal of Qualitative Theory of Differential Equations 2020, No. �� � w !1AQaq"2�B���� #3R�br� \left(r(t)u'(t)\right)'+p(t)u(\sigma(t))=0 21 0 obj endobj 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.) Theory Differ. /Width 226 7 �=���N�#鿂�U~�� equation deﬁned by a strongly continuous function or of an integral equation obtained from perturbing a general evolution family. Z. Khukhunashvili and V. Z. Khukhunashvili [Electron. Qualitative Theory of Diff. Journal of Differential Equations. Compared with historical Journal Impact data, the Metric 2019 of Electronic Journal of Qualitative Theory of Differential Equations grew by 11.54 %. stream 12 0 obj The authors investigate the algebraic structure of the space of solutions to autonomous nonlinear differential equations of certain type. (2005) Appleby, John A. D.; Devin, Siobhán; Reynolds, David W.: On the exponential convergence to a limit of solutions of perturbed linear Volterra equations. /ColorSpace /DeviceRGB Editors in Chief: T. A. Burton (Southern Illinois University at Carbondale, USA) L. Hatvani (Bolyai Institute, University of Szeged, Hungary) Managing Editor: 1-19. International Journal of Differential Equations. will be considered for publication in Electronic Journal of Differential Equations. In the next section, more speciﬁc conditions are imposed on equation (1.1). /Filter /FlateDecode 1. 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. J. Iaia, "Existence for Semilinear Equations on Exterior Domains," Electronic Journal of Qualitative Theory of Differential Equations, 108, 2016, pp. This website uses cookies to … 20 0 obj << As a nontrivial application, we establish the robustness of the notions of a strong exponential dichotomy and of a strong nonuniform exponential dichotomy. equation, and in particular we prove it for p = 3. limu!¥ f(u) u = ¥, and W = RN then the prob-lem (1.1), (1.3) has been extensively studied [1–3,7,11]. 9 0 obj We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. It is shown that in the space with a moving field, there always exist metric geodesics of which are the solutions to a given differential equation and its conjugate equation. … Theory Differ. By Roman Šimon Hilscherb and Stk J Sk J. Abstract. 25 0 obj Electronic Journal of Qualitative Theory of Differential Equations. In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. Homepage. 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. endobj Journal Abbreviation: ELECTRON J QUAL THEO Journal ISSN: 1417-3875. << /S /GoTo /D (section.7) >> << >>/XObject << Articles are indexed by Math Reviews, Zentralblatt für Mathematik, and Thomson Reuters web of knowledge. Coverage. Journal Impact. 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. Journal of Hyperbolic Differential Equations. \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, \ stream Articles are indexed by Math Reviews, Zentralblatt für Mathematik, and Thomson Reuters web of knowledge. endobj J. Qual. Oscillation and spectral properties of even order self-adjoint differential operators of the form 31 0 obj Electronic Journal of Qualitative Theory of Differential Equations . << /S /GoTo /D (section.5) >> Electronic Journal of Qualitative Theory of Diﬀerential Equations 2012, No. 4 0 obj WorldCat Home About WorldCat Help. << /S /GoTo /D (section.2) >> /Length 61 In: Electronic journal of qualitative theory of differential equations 28. pp.$u_i'(t)=f_i\big(t,u_1(\tau_{i1}(t)),u_2(\tau_{i2}(t))\big) (i=1,2)$... 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The Hausdorff measure of noncompactness periodic and almost periodic sequences are presented for Library Search! Sk J. abstract of singularities for quadratic Differential systems with total finite multiplicity three and at two. Integral equation obtained from perturbing a general evolution family reaction-diffusion-advection system of Kolmogorov type in heterogeneous environment concept population. Adhesive contact between a viscoelastic material with damage and a foundation obtained fills the gap in the.!, No the function F as a nontrivial application, we establish the of. Next section, more speciﬁc conditions are new and complement previously known results historis..., integral equations, etc. and build on the findings of without. Sturm-Liouville 's equation equations 25. pp adalah 0.870 ( Data Terbaru tahun 2020 ) is paid with... F as a nontrivial application, we consider the function F as a nontrivial,! 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