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The Pseudo Almost Priodic Solutions For Differential Equation

Posted on:2005-05-24Degree:MasterType:Thesis
Country:ChinaCandidate:S F YangFull Text:PDF
GTID:2120360155971754Subject:Basic mathematics
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In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated. This paper is organized by four parts: In Chapterl, we simply introduce the development of differential equations with piecewise constant argument. In Chapter2, we generalize the sufficient condition of the existences of pseudo almost periodic solutions of second-order neutral delay differential equations with piecewise constant argument in reference . In Chapter3, we consider a class of generalized second-order neutral delay differential equations with piecewise constant argument; by constructing pseudo almost periodic solutions of the difference equation and using the fixed point theorem, we obtain a sufficient condition of the existences of pseudo-almost periodic solutions of the equation.In chapter 4, we considers the problem numerical solution of differential equation in fuzzy initial value condition,set up a method of fuzzy simulation.
Keywords/Search Tags:Periodic Solution, Almost Periodic Solution, Pseudo Almost Periodic Solution, Differential Equations with Piecewise Constant Argument, Neutral Functional Differential Equation, Fix Point Theorem, Systems of differential equation, fuzzy simulation
PDF Full Text Request
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