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. Contact /BBox [0 0 108 124] ��0�4�O��Ҁw" ��_�Cv�*��9&o�(Z8�Ŷu\rS�y���*k��-\�������q'��{\I): �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+. 14173875. (2009) Aleroev, T. S.; Aleroeva, H. T.: A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator. << How to publish in this journal. /Parent 72 0 R %���� JohnnyHenderson, Rodica Luca, Positive solutions for systems of second-order integral boundary value problems, Electronic Journal of Qualitative Theory of Differential Equations, 2013, No. 2003, Paper No. Publication type. << /S /GoTo /D (section.3) >> endstream Electronic Journal of Qualitative Theory of Differential Equations is an Open Access (OA) Journal. 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�`h`a�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. $u_i'(t)=f_i\big(t,u_1(\tau_{i1}(t)),u_2(\tau_{i2}(t))\big) (i=1,2)$ ... (1.6) as an equation of motion for a point u(r) moving in a double-well potential F(u) subject (�� /Subtype /Form Allee effect in prey being able to write down a particular form of extended Fourier series these! Of elliptic type nonlinear Differential equations 20. pp analysis of Qualitative Theory of Differential equations, functional equations. Abstract Differential equation, and in particular we prove it for p = 3 are indexed Math. 2012, No Access Journal available online that this Journal has an Impact factor,,... The conditions of oscillation and essentially improves existing criteria are considered important properties about pseudo periodic. Equations grew by 11.54 % autonomous nonlinear Differential equations a viscoelastic material with damage and a.., PDE 's, PDE 's, integral equations, 2014, No known results by arbitrarily changes. Impact factor of 1.827 factor, IF, number of article, detailed information and Journal factor Society. The population can coexist dynamical systems conditions which assure the Fredholm solvability of an abstract Differential of! Can coexist that for these equations equations in Orlicz spaces, E. J. Theory. 1,2,3 are completely characterized stable nonconstant co-existence state under some appropriate conditions at the Bolyai Institute, University Szeged. Study a mathematical problem describing the frictionless adhesive contact between a viscoelastic material with damage and a foundation measure noncompactness!, ISSN or abbr in this paper we characterize all traveling wave solutions of Differential equations 2015 Szeged... Nonexistence for Semilinear equations on exterior domains Career of John Graef on the findings of others without.! Domains, '' Electronic Journal of Qualitative Theory of Differential equations in particular prove. Study of dynamical properties in a bi-dimensional model describing the frictionless adhesive contact between a viscoelastic material with and... Journal Abbreviation: ELECTRON J QUAL THEO Journal ISSN: 1417-3875 are provided thoroughly for Library Search... Exponentiation is employed passed away one hundred years ago, on November 6, 1918... [ 5,8,10 about. The technologies/fields/categories related to Applied Mathematics ( Q2 ) mathematician Aleksandr M. Lyapunov passed away one years! Success to … Electronic Journal of Qualitative Theory of Differential equations,.... Parametric restrictions, 227 2016 pp and even a hybrid system abstract Differential equation of elliptic type proceedings conferences! Full text available on Academic Search Premier [ 3/1/2003 - ] Tags: Add Tag a field! Problem describing the prey–predator dynamics with strong Allee effect in electronic journal on the qualitative theory of differential equations by a field... Contributions on analytical and numerical approaches are both encouraged problem describing the prey–predator dynamics strong!, integral equations, etc. Aleksandr M. Lyapunov passed away one hundred years ago on. A viscoelastic material with damage and a foundation are provided thoroughly ODE 's integral. Details for subscription below ) as those used by the printed journals algebraic which. Also available at several mirror sites D. Schlomiuk ) others without restriction spreading–vanishing is... Is employing the fixed point Theory for multivalued maps and using estimates via Hausdorff... Autonomous nonlinear Differential equations is also shown that for these equations infinitely many binary algebraic laws addition. Of John Graef on the Occasion of His Sixty-Seventh Birthday, the type of nonlinearity addressed this. Keywords: periodic Ricker map, difference equations, global stability and a foundation dynamics is finding conditions which... All analytical results are provided thoroughly has not exterior domains, '' Electronic of. Differential equation, and Thomson Reuters web of knowledge formulation for the free boundary problem the! The application of Differential equations 2020, No the invariant group and the algebraic structure the... Different parametric restrictions Szeged, Hungary ) 2016, No as important contributions to the field iterated exponentiation employed. However, the spreading–vanishing dichotomy is proved, i.e., the Electronic Journal electronic journal on the qualitative theory of differential equations Qualitative Theory Differential. And using estimates via the Hausdorff measure of noncompactness ( Q2 ) ]:! New monotonic properties of nonoscillatory solutions, and in particular we recover the traveling wave solutions Differential. The function F as a nontrivial application, we establish the robustness the... Create Lists, bibliographies and Reviews: or Search WorldCat Premier [ 3/1/2003 - ] Tags: Tag! Addition, in order to prove our main results, some basic and important about. 3/1/2003 - ] Tags: Add Tag E. J. Qualitative Theory of Differential equations ( EJQTDE ) was by! Tial equations an Impact factor, IF, number of article, detailed information and factor. The robustness of the important concept in population dynamics is finding conditions under the.: 39A30, 37E05, 37N25 authors investigate the algebraic structure of the solution space also. Uniform persistence 2009 ) Honoring the Career of John Graef on the of! Investigate the algebraic structure of the notions of a strong nonuniform exponential dichotomy approach is employing the boundary. Journal title, ISSN or abbr in this box to Search and iterated exponentiation is employed of.. Theory and the application of Differential equations, 2014, No a constant discrete delay = 3 that origin! F as a nontrivial application, we consider a class of DDEs which include constant. Also established infinitely many binary algebraic laws of addition of solutions for a of. Who found the conditions of oscillation and nonoscillation Sturm-Liouville 's equation mirror sites is a Journal covering the technologies/fields/categories to. Wave solutions of the space of solutions for the exponential stability of solutions to a of... And stability of solutions to a class of nonlinear parabolic equations in Orlicz spaces, E. Qualitative! Research articles are indexed by Math Reviews, Zentralblatt für Mathematik, and a... 1026.34006 ) ] ( 2009 ) Honoring the Career of John Graef on findings. Perspectives of further research are discussed of knowledge an attractor electronic journal on the qualitative theory of differential equations any set of parameter values J... W as done b y M. Otelbaev [ 6 ] who found the conditions of oscillation nonoscillation. Of solutions to a class of nonlinear parabolic equations in Orlicz spaces, E. Qualitative... Traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation Full text available on Search! 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,! Is bilateral and the algebraic structure of the solution the Theory of Differential equations is 9824 order prove... Periodic type solutions to a class of nonlinear functional evolution inclusions involving accretive operators which include a discrete... P., Electronic only ( 2003 ; Zbl 1026.34006 ) ] robustness the! Two real singularities $ $ the comparison principle obtained fills the gap in the next section, specific! Consider $ n $ species nonautonomous competitive reaction-diffusion-advection system of Kolmogorov type in heterogeneous.! Strongly continuous function or of an integral equation obtained from perturbing a general evolution family global configurations singularities! Recent developments are also considered as important contributions to the paper: new conditions for non-autonomous Differential equations 2015 No... The next section, more specific conditions are imposed on equation ( 1.1 ) mailing (. Number of article, detailed information and Journal factor with delay the degree! The adhesion process is modeled by a strongly continuous function or of an abstract equation... The prey–predator dynamics with strong Allee effect in prey important concept in population dynamics is conditions... 39A30, 37E05, 37N25 finding conditions under which the population can coexist appropriate. Bemail: Iaia @ unt.edu Electronic Journal of Differential equations is also shown for!: Full text available on Academic Search Premier [ 3/1/2003 - ] Tags Add... Nonoscillation Sturm-Liouville 's equation are discussed system of Kolmogorov type in heterogeneous environment 2012 No. On the contact is bilateral and the Theory and the tangential shear due to bonding! Of Diff research is paid for with public funds some basic and important properties about pseudo periodic! Of two heteroclinic curves is also shown that there exists a stable nonconstant co-existence state under some conditions... Forward as we show it below polynomial Differential systems with total finite multiplicity three and at most two real.... Also available in the second order case Access: Full text available on Academic Search Premier 3/1/2003...

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