Asymptotically Almost Periodic Solutions to Some Classes of Second-order Functional Differential Equations
نویسندگان
چکیده
In this paper, we study the existence of asymptotically almost periodic solutions to some classes of second-order partial functionaldifferential equations with unbounded delay. Our results are, subsequently, applied to studying the existence of asymptotically almost periodic solutions to some integrodifferential equations, which arise in the theory of heat conduction within fading memory materials.
منابع مشابه
Existence of Square-mean Almost Periodic Mild Solutions to Some Nonautonomous Stochastic Second-order Differential Equations
In this paper we use the well-known Schauder fixed point principle to obtain the existence of square-mean almost periodic solutions to some classes of nonautonomous second order stochastic differential equations on a Hilbert space.
متن کاملON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS
Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...
متن کاملPeriodic solutions of first order functional differential equations
The best ebooks about Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics that you can get for free here by download this Periodic Solutions Of First Order Functional Differential Equations In Population Dynamics and save to your desktop. This ebooks is under topic such as communications in applied analysis 12 multiple periodic positive periodic solutions ...
متن کاملPerturbing Almost Periodic Differential Equations
ABSTRACT. When the zero solution of an almost periodic differential system is uniform-asymptotically stable, it is shown that the zero solution is diminishingly asymptotically stable and totally asymptotically stable. Generalization of the above theorem to bounded solutions and functional differential equations with finite time-lag are obtained by the same method. The techniques used in the pro...
متن کاملPseudo almost periodic solutions to some non-autonomous neutral functional differential equations with unbounded delay
In this paper we give some sufficient conditions, which ensure the existence of pseudo almost periodic solutions to some classes of non-autonomous first-order partial neutral functional-differential with unbounded delay. c © 2006 Elsevier Ltd. All rights reserved.
متن کامل