Results 31 to 40 of about 67,397 (299)
Almost periodic unitary solution to semilinear stochastic differential equations with almost periodic coefficients [PDF]
, 2022 In this paper, we consider a class of stochastic differential equations with almost periodic coefficients. In the one-dimensional case, by using the unitary group of operators associated to the stationary increments of the Brownian motion, we show the ...
Slimi, Karima +2 more
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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
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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
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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
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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
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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) .
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A delay-dependent LMI approach to dynamics analysis of discrete-time recurrent neural networks with time-varying delays [PDF]
, 2007 This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2007 Elsevier Ltd.In this Letter, the analysis problem for the existence and stability of periodic solutions is investigated for
Zidong Wang +3 more
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Positive Almost Periodic Solution on a Nonlinear Differential Equation [PDF]
, 2011 We study the following nonlinear equationdx(t)/dt=x(t)[a(t)-b(t)xα(t)-f(t,x(t))]+g(t), by using fixed point theorem, the sufficient conditions of the existence of a unique positive almost periodic solution for above system are obtained, by using the ...
Tian Li-xin, Ni Hua, Liu Xun
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Convergence in Almost Periodic Competition Diffusion Systems [PDF]
, 2001 The paper deals with the convergence of positive solutions for almost-periodic competition diffusion systems. The asymptotic almost periodicity of a positive solution for such a system is described by the almost periodicity of the ω-limit set of the ...
Wenxian Shen +3 more
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Regularity of almost periodic solutions of Poisson equation [PDF]
Ufa Mathematical Journal, 2020 This paper discusses some regularity of almost periodic solutions of the Poisson's equation $-Δu = f$ in $\mathbb{R}^n$, where $f$ is an almost periodic function. It has been proved by Sibuya [Almost periodic solutions of Poisson's equation. Proc. Amer. Math.
Muhamadiev, Èrgashev, Nazarov, Murtazo
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