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WEIGHTED PSEUDO ALMOST PERIODIC SOLUTIONS FOR DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

Part of: Functional-differential and differential-difference equations

Published online by Cambridge University Press:  16 June 2015

LI-LI ZHANG  and
HONG-XU LI
LI-LI ZHANG*
Affiliation:
Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, PR China email zllyou0@gmail.com
HONG-XU LI
Affiliation:
Department of Mathematics, Sichuan University, Chengdu, Sichuan 610064, PR China email hoxuli@sohu.com
*
✉zllyou0@gmail.com
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Abstract

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By applying the theory of exponential dichotomies and contraction mapping, we establish some existence and uniqueness results for weighted pseudo almost periodic solutions of some differential equations with piecewise constant arguments. For this purpose, we also describe some basic properties of weighted pseudo almost periodic sequences.

Keywords

exponential dichotomyweighted pseudo almost periodic sequenceweighted pseudo almost periodic solutionpiecewise constant argument

MSC classification

Primary: 34K14: Almost and pseudo-periodic solutions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 2 , October 2015 , pp. 238 - 250
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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