Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities.
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Periodic solutions for nonlinear Volterra integrodifferential equations in Banach spaces
Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1997)
Commentationes Mathematicae Universitatis Carolinae
In this paper we examine periodic integrodifferential equations in Banach spaces. When the cone is regular, we prove two existence theorems for the extremal solutions in the order interval determined by an upper and a lower solution. Both theorems use only the order structure of the problem and no compactness condition is assumed. In the last section we ask the cone to be only normal but we impose a compactness condition using the ball measure of noncompactness. We obtain the extremal solutions...
Periodic solutions for second order integro-differential equations with infinite delay in Banach spaces
Shangquan Bu, Yi Fang (2008)
Studia Mathematica
We study the maximal regularity on different function spaces of the second order integro-differential equations with infinite delay (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), u’(0) = u’(2π), where A is a closed operator in a Banach space X, α ∈ ℂ, and a,b ∈ L¹(ℝ₊). We use Fourier multipliers to characterize maximal regularity for (P). Using known results on Fourier multipliers, we find suitable conditions on the kernels a and b under which necessary and sufficient conditions...
Periodic solutions of a class of integrodifferential impulsive periodic systems with time-varying generating operators on Banach space.
Wang, Jinrong, Xiang, X., Wei, W. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Periodic solutions of second order integro-differential equations.
Tsai, Long-Yi (2002)
Applied Mathematics E-Notes [electronic only]
Permanence of a discrete model of mutualism with infinite deviating arguments.
Li, Xuepeng, Yang, Wensheng (2010)
Discrete Dynamics in Nature and Society
Perturbations of Positive Semigroups and Applications to Population Genetics.
Reinhard Bürger (1988)
Mathematische Zeitschrift
Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method.
Sezer, Mehmet, Gülsu, Mustafa (2006)
International Journal of Mathematics and Mathematical Sciences
Polynomial spline collocation methods for second-order Volterra integrodifferential equations.
Rawashdeh, Edris, McDowell, David, Rakesh, Leela (2004)
International Journal of Mathematics and Mathematical Sciences
Population dynamics of Bithynia tentaculata
Ján Andres, Jiří Fišer, Libor Jüttner, Ivona Velecká (1998)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Positive solutions of integrodifferential equations.
Philos, Ch.G. (1993)
Journal of Applied Mathematics and Stochastic Analysis
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient.
Žubrinić, D. (2000)
Acta Mathematica Universitatis Comenianae. New Series
Positive solutions of Volterra integro-differential equations.
Wu, Yumei (1995)
Acta Mathematica Universitatis Comenianae. New Series
Principal matrix solutions and variation of parameters for a Volterra integro-differential equation and its adjoint.
Becker, Leigh C. (2006)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville
Yvonne Choquet-Bruhat (1971)
Annales de l'institut Fourier
Démonstration d’un théorème d’existence de la solution du problème de Cauchy pour les équations intégro-différentielles de la dynamique d’un gaz relativiste soumis à son propre champ de gravitation : les inégalités énergétiques des sytèmes hyperboliques et un théorème de point fixe sont utilisés. Les résultats sont obtenus dans des espaces de Sobolev pour le champ de gravitation et pour le produit par de la fonction de distribution (, vecteur temporel).
Properties of solutions of some linear class of integrodifferential equations of Volterra type.
Morchało, Jarosław (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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