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Asymptotically almost periodic and almost periodic solutions for a class of evolution equations
Electronic Journal of Differential Equations, 2004 In this paper we study the existence of asymptotically almost periodic and almost periodic solutions for the partial evolution equation $$ frac{d}{dt} (x(t)+g(t,x(t))=Ax(t)+f(t,Bx(t)), $$ where $A$ is the infinitesimal generator of an analytic semigroup ...
Eduardo Hernandez M. +2 more
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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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Almost Periodic Solutions of First-Order Ordinary Differential Equations
Mathematics, 2018 Approaches to estimate the number of almost periodic solutions of ordinary differential equations are considered. Conditions that allow determination for both upper and lower bounds for these solutions are found.
Seifedine Kadry +3 more
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On nonlinear Schr\"odinger equations with almost periodic initial data [PDF]
, 2015 We consider the Cauchy problem of nonlinear Schr\"odinger equations (NLS) with almost periodic functions as initial data. We first prove that, given a frequency set $\pmb{\omega} =\{\omega_j\}_{j = 1}^\infty$, NLS is local well-posed in the algebra ...
Oh, Tadahiro
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Electronic Journal of Differential Equations, 2011 In this paper we study the existence of almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-almost periodic terms in a Banach space.
Md. Maqbul
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Almost periodic and almost automorphic solutions of linear differential equations [PDF]
, 2010 We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous di erential (or di erence) equation in a Banach space, with almost periodic (respectively, almost automorphic, recurrent) coe ...
Caraballo Garrido, Tomás, Cheban, David
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Construction of almost periodic sequences with given properties
Electronic Journal of Differential Equations, 2008 We define almost periodic sequences with values in a pseudometric space X and we modify the Bochner definition of almost periodicity so that it remains equivalent with the Bohr definition.
Michal Vesely
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Electronic Journal of Differential Equations, 2006 In this note, we establish the existence of asymptotically almost periodic and almost periodic solutions for a class of partial integrodifferential equations.
Eduardo Hernandez M. +1 more
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Discrete Dynamics in Nature and Society, 2015 A discrete two-species competitive model is investigated. By using some preliminary lemmas and constructing a Lyapunov function, the existence and uniformly asymptotic stability of positive almost periodic solutions of the system are derived. In addition,
Heping Ma, Jianguo Gao, Lingling Xie
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Almost Periodic Solutions of Prey-Predator Discrete Models with Delay
Advances in Difference Equations, 2009 The purpose of this article is to investigate the existence of almost periodic solutions of a system of almost periodic Lotka-Volterra difference equations which are a prey-predator system x1(n+1)=x1(n)exp{b1(n)−a1(n)x1(n)−c2(n ...
Tomomi Itokazu, Yoshihiro Hamaya
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