Results 11 to 20 of about 69,042 (263)
Almost periodic processes and the existence of almost periodic solutions
Electronic Journal of Qualitative Theory of Differential Equations, 1998 The authors state an existence theorem for almost-periodic solutions to some almost-periodic evolution equations. For this, they discuss some stability notions for processes. An equivalence relation with respect to the separation condition and some stability condition are given. As example the authors study a wave equation.
Hino, Y., Murakami, Satoru
openaire +2 more sources
Almost Periodic Solutions for a Certain Class of Almost Periodic Systems [PDF]
Proceedings of the American Mathematical Society, 1982 Using a result due to Medvedev [ 3 ], we obtain conditions under which systems of ordinary differential equations of the form x
openaire +2 more sources
Almost periodic solutions of Poisson’s equation [PDF]
Proceedings of the American Mathematical Society, 1971 It is well known that if f ( t ) f(t)
openaire +1 more source
Almost periodicity of solutions for almost periodic evolution equations
Differential and Integral Equations, 2005 In this paper, we discuss almost periodicity of solutions for evolution equations in Banach space. We introduce the concept of difference-variation equation. For a special Hilbert space, we establish some results on almost periodicity of all solutions for evolution equations. In particular, we extend Haraux's result on $R^2$ to $R^n.$
Hu, Zuosheng, Mingarelli, Angelo B.
openaire +2 more sources
Pseudo almost periodicity for stochastic differential equations in infinite dimensions
Electronic Journal of Differential Equations, 2023 In this article, we introduce the concept of p-mean θ-pseudo almost periodic stochastic processes, which is slightly weaker than p-mean pseudo almost periodic stochastic processes.
Ye-Jun Chen, Hui-Sheng Ding
doaj +1 more source
On first-order differential operators with Bohr-Neugebauer type property
International Journal of Mathematics and Mathematical Sciences, 1989 We consider a differential equation ddtu(t)-Bu(t)=f(t), where the functions u and f map the real line into a Banach space X and B: X →X is a bounded linear operator.
Aribindi Satyanarayan Rao
doaj +1 more source
Existence of almost periodic solution for SICNN with a neutral delay
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, a kind of shunting inhibitory cellular neural network with a neutral delay was considered. By using the Banach fixed point theorem, we established a result about the existence and uniqueness of the almost periodic solution for the shunting
Zheng Fang, Yongqing Yang
doaj +1 more source
Almost periodicand asymptotically almost periodic solutions of Liénard equations
Discrete and Continuous Dynamical Systems - B, 2011 The aim of this paper is to study the almost periodic and asymptotically almost periodic solutions on (0,+1) of the Li´enard equation x′′ + f(x)x′ + g(x) = F(t), where F : T ! R (T = R+ or R) is an almost periodic or asymptotically almost periodic function and g : (a, b) ! R is a strictly decreasing function.
Caraballo Garrido, Tomás, Cheban, David
openaire +3 more sources
International Journal of Mathematics and Mathematical Sciences, 2002 In a Banach space, if u is a Stepanov almost periodic solution of a certain nth-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost periodic forcing function, then u,u′,…,u (n−2) are all strongly almost ...
Aribindi Satyanarayan Rao
doaj +1 more source
Existence and Stability of Almost Periodic Solutions in Almost Periodic Systems
Publications of the Research Institute for Mathematical Sciences, 1976 where x$ are real, k is a positive integer and a^(f) are almost periodic functions of t. Under some conditions on ##(£), Theorem 1 shows that the trivial solution of the first approximation of system (1-1) is uniformly asymptotically stable in a subspace IT of R (see Definition 2) .
openaire +2 more sources