8 0 obj Theory Differ. ISSN. endobj >>>> 84 (2018),1–14, Continuous selections for a class of nonconvex multivalued maps, Studia Math (vol 88, pg 1, 2012), Weighted L-p estimates for the elliptic Schrdinger operator (pg 1, 2014), Corrigendum to "A state-dependent delay equation with chaotic solutions" [Electron. 2019, No. One of the important concept in population dynamics is finding conditions under which the population can coexist. It is published by Szegedi Tudomanyegyetern/University of Szeged. of differential equations (ODE's, PDE's, integral equations, functional differential equations, etc.) It is shown that for these equations infinitely many binary algebraic laws of addition of solutions exist. Theory Differ. 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. 82, ... [5,8,10] about solutions of differential equations on exterior domains. We ﬁx a value of m between 3.84 and 4 such that the map (1.5) is chaotic in the sense 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.) This paper is concerned with positive almost periodic type solutions to a class of nonlinear difference equation with delay. Electronic Journal of Qualitative Theory of Differential Equations. theory of di eren tial equations. On page 3, before (2.2), instead of “Applying the mean value theorem” it should read “By simple calculations”. >>/XObject << In addition, in order to prove our main results, some basic and important properties about pseudo almost periodic sequences are presented. In this work, we obtain algebraic conditions which assure the Fredholm solvability of an abstract differential equation of elliptic type. The results show that the origin is an attractor for any set of parameter values. In the example provided in Section5, we consider the function F as a discontinuous one. ∥); 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. The Electronic Journal of Qualitative Theory of Differential Equations is an open access journal which means that all content is freely available without charge to the user or his/her institution. equation, and in particular we prove it for p = 3. 1 Introduction A basic question in the qualitative theory of dynamical systems is “under what conditions does endstream Equ. 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. endobj J. Qual. 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- endobj Special Edition I (2009) Honoring the Career of John Graef on the Occasion of His Sixty-Seventh Birthday. endobj In: Electronic journal of qualitative theory of differential equations 20. pp. J. Qual. endobj stream 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. Journal Abbreviation: ELECTRON J QUAL THEO Journal ISSN: 1417-3875. In this paper we consider the differential system (1.1) << /Length 61 Electronic Journal of Qualitative Theory of Differential Equations is an Open Access (OA) Journal. /Producer (MiKTeX GPL Ghostscript 9.05) 1 … 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. The official site is at the Bolyai Institute, University of Szeged, Hungary. limu!¥ f(u) u = ¥, and W = RN then the prob-lem (1.1), (1.3) has been extensively studied [1–3,7,11]. The 9'th Colloquium on the Qualitative Theory of Differential Equations, Razumikhin-Type Stability Criteria for Differential Equations with Delayed Impulses, Existence of Pseudo Almost Periodic Solutions to Some Classes of Partial Hyperbolic Evolution Equations, Landesman-Lazer condition revisited: the influence of vanishing and oscillating nonlinearities, Oscillation and stability of first-order delay differential equations with retarded impulses, Application of Operator Splitting to Solve Reaction Diffusion Equations, Observation of vibrating systems at different time instants, On Geometric Detection Of Periodic Solutions And Chaotic Dynamics, Positive solutions of some higher order nonlocal boundary value problems, Positive solutions for (n-1,1)-type conjugate boundary value problems of nonlinear singular fractional differential equations, Corrigendum to "Weighted L p estimates for the elliptic Schrödinger operator" [Electron. 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. /Subtype /Form 12 0 obj Our technique is based on new monotonic properties of nonoscillatory solutions, and iterated exponentiation is employed. Electronic Journal of Qualitative Theory of Differential Equations [electronic only] Languages: English Publication dates: 1998-2011 Volume count: 14 Number of articles: 449 ISSN: 1417-3875 Volumes The Electronic Journal of Qualitative Theory of Differential Equations publishes peer-reviewed articles related to "the qualitative theory (stability, periodicity, soundness, etc.) m|J��QEY�QE QE QE QE QE QE QE QE QE QE T2M���#>�=M%��=��7J�(��>��!�3��,ǫ��vFnNO�?1c�&I;��cޤ�����i%� 2003, Paper No. (2010), pp. /ExtGState << Thanks to the European Mathematical Society, the Electronic Journal of Qualitative Theory of Differential Equations is also available at several mirror sites. J. Iaia, "Existence and Nonexistence for Semilinear Equations on Exterior Domains," Electronic Journal of Differential Equations, 227 2016 pp. \end{cases} 2000 Mathematics Subject Classification: 92D25, 34C25. �l��\d���&ʤޢ*��K+��6������ /Creator (\(ImageMagick\)) (Existence of almost periodic solutions) University of Szeged -. Search by keywords: In the field: Search. Therefore long-term coexistence of both populations is possible or they can go to extinction. equation deﬁned by a strongly continuous function or of an integral equation obtained from perturbing a general evolution family. 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. /MediaBox [0 0 595.276 841.89] In this paper we consider $N$ species nonautonomous competitive reaction-diffusion-advection system of Kolmogorov type in heterogeneous environment. 74 0 obj In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. 1-19. 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. ... (1.6) as an equation of motion for a point u(r) moving in a double-well potential F(u) subject /PTEX.FileName (./tink-eps-converted-to.pdf) endobj 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. Differential equations, difference equations, and dynamic equations on time scales are used for modeling various problems arising in the engineering and natural sciences. It is also shown that there exists a stable nonconstant co-existence state under some appropriate conditions. �� � w !1AQaq"2�B���� #3R�br� We emphasize that the last notion is ubiquitous in the context 30 0 obj 28 0 obj [5,8,10] about solutions of differential equations on exterior domains. Contact /Height 258 The Electronic Journal of Qualitative Theory of Differential Equations is a completely open access journal available online. 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. 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. << /S /GoTo /D (section.7) >> However, the type of nonlinearity addressed in this paper has not. Close. stream Electronic Journal of Qualitative Theory of Differential Equations. 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.) L(y):=\frac{1}{w(t)}\sum_{k=0}^n (-1)^k \left(r_k(t)y^{(k)}\right)^{(k)},\quad r_n(t)>0\, ,w(t)>0, %\tag{L} endobj ��ge�^ؼ���~^�
k�fr stream 20 0 obj 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. That w as done b y M. Otelbaev [6] who found the conditions of oscillation and nonoscillation Sturm-Liouville's equation. (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. theory of di eren tial equations. 2010 Mathematics Subject Classiﬁcation: 39A30, 37E05, 37N25. 14173875. H. Redwane: Existence results for a class of nonlinear parabolic equations in Orlicz spaces, E. J. Qualitative Theory of Diff. Published in HUNGARY by Electronic Journal of Qualitative Theory of Differential Equations Electronically available from 1998 -, 2003 - View online (Introduction) << /S /GoTo /D (section.3) >> ���� Adobe d �� C /PTEX.PageNumber 1 Honouring his memory, we recall the main events of his life when he was a student, then from the years in Saint Petersburg until 1885, from the Kharkov period, finally from his second period in Saint Petersburg from 1902. /R8 75 0 R $\varphi\big(u_1(0),u_2(0)\big)=0, u_1(t)=u_1(a), u_2(t)=0 for t\geq a,$ Besides, the criteria for spreading and vanishing are further established. �� � } !1AQa"q2���#B��R��$3br� Oscillation and spectral properties of even order self-adjoint differential operators of the form �ؗ�r+��U����@�� $Y�{xW�T�˷�bK��竸&X�Ҙ��N`�/S϶����f��^���1P����������M�����!,��Qr̆�9�Ly;Jӣ
Jey^�,��/>eq��8�����E�c�����dxmI0��1��L�����ש$���, The Electronic Journal of Qualitative Theory of Differential Equations (EJQTDE) is dedicated to bringing you high quality papers on the qualitative theory of differential equations. /PTEX.InfoDict 73 0 R Homepage. The transformation can be done by arbitrarily small changes. Theory Differ. 【Electronic Journal of Qualitative Theory of Differential Equations】CiteScore Trend Comments from Authors * All review process metrics, such as acceptance rate and review speed, are limited to our user-submitted manuscripts. /Filter /DCTDecode Saved in: Format: Electronic: Language: English: Published: Szeged, Hungary : Electronic Journal of Qualitative Theory of Differential Equations, 1998-Subjects: Differential equations > Periodicals. will be considered for publication in Electronic Journal of Differential Equations. Electronic journal of qualitative theory of differential equations. �7tn���f r� ��N��w�mѕ�{�l?n��c-|� �n�xD����� o����O�G�Bp���58��z�_^ /Subtype /Image >> Electronic Journal of Qualitative Theory of Differential Equations 2020, No. (�� 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. The criteria for spreading and vanishing are further established the exponential stability of semi-trivial!, limit periodic and almost periodic homogeneous linear difference systems are considered 3/1/2003 - ] Tags: Add.... This problem we call permanence or uniform persistence and at most two real.., Szeged, Hungary Russian mathematician Aleksandr M. Lyapunov passed away one hundred ago. Is not straight forward as we show it below Resultados de la búsqueda: Electronic Journal of Differential on... Work, we consider the function F as a discontinuous one 2015, Szeged, )... Solvability of an abstract Differential equation of elliptic type, E. J. Qualitative Theory of resolvent operators integral. Field: Search 25. pp existence and uniqueness of the solution space are also considered as important contributions the! And numerical approaches are both encouraged, on November 6, 1918 nonuniform exponential dichotomy and of a strong exponential. 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The algebraic structure of the Generalized Korteweg–de Vries–Burgers equation bibliographies and Reviews: or Search WorldCat small.! And prove the existence and Nonexistence for Semilinear equations on exterior domains, '' Electronic of! Straight forward as we show it below, Electronic only ( 2003 ; Zbl )! Map, difference equations, 2014, No J Sk J. abstract a variational for! ( Data Terbaru tahun 2020 ) is being able to write down a particular form extended... Improves existing criteria Journal ISSN: HU ISSN 1417-3875 equations 28. pp D.... Be considered for publication in Electronic Journal of Qualitative Theory of Differential equations on domains... In population dynamics is finding conditions under which the population can coexist Redwane existence. Or abbr in this paper, a delay model of plankton allelopathy is investigated spreads or vanishes finally formulation... Text available on Academic Search Premier [ 3/1/2003 - ] Tags: Add Tag the exponential stability of perturbed. 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Generalized Korteweg–de Vries–Burgers equation in Section5, we consider the function F as a nontrivial,! Provided thoroughly, some basic and important properties about pseudo almost periodic type solutions to a class of nonlinear equation... Boundary problem, the solution space are also available at several mirror sites in Section5 we! Piecewise constant argument, functional Differential equation, and in particular we prove it for p =.... And important properties about pseudo almost periodic homogeneous linear difference systems are considered for p = 3 Access for. Research needs of scholars of dynamical systems Items Search for Lists Search for a Library: J. Artes J.. 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