Results 21 to 30 of about 5,189,005 (253)

Remotely $c$-almost periodic type functions in ${\mathbb{R}}^{n}$

, 2022
summary:In this paper, we relate the notions of remote almost periodicity and quasi-asymptotical almost periodicity; in actual fact, we observe that a remotely almost periodic function is nothing else but a bounded, uniformly continuous quasi ...
Kostić, Marco, Kumar, Vipin
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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
doaj   +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.
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On solving discrete-time periodic Riccati equations [PDF]

, 2005
Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
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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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On an nth-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution

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

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

Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations) [PDF]

, 2012
summary:The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt ...
Fischer, Alexandr
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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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Approximation of almost periodic functions by periodic ones [PDF]

, 1998
summary:It is not the purpose of this paper to construct approximations but to establish a class of almost periodic functions which can be approximated, with an arbitrarily prescribed accuracy, by continuous periodic functions uniformly on ${\mathbb R} =
Fischer, Alexander
core   +1 more source