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Almost Periodic Type Solutions Of Nonlinear Equations With Alomst Periodic Type Operators

Posted on:2021-04-10Degree:MasterType:Thesis
Country:ChinaCandidate:C DengFull Text:PDF
GTID:2370330620968679Subject:Mathematics
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In this paper,we mainly study the almost periodic type solutions of a class of nonlinear equations with almost periodic type operatorsIn chapter 1,we introduce the research background of this paper and the main results.In chapter 2,we give the basic knowledge of almost periodic type functions and almost periodic type operators related to this paperIn chapter 3,we mainly study the existence conditions of almost periodic solu-tions of equation x(t)=f(t,(Ax)(t)),t?R,which f is almost periodic functions,A is almost periodic operators,and the existence conditions of asymptotically almost periodic solutions of equation x(t)=f(t,(Mx)(t)),t?R+,which f is asymptotically almost periodic functions,M is a asymptotically almost periodic operators,and we apply the abstract results to a series of concrete equations,such as difference equation,finite delay equation and so on.
Keywords/Search Tags:Difference equation, almost periodic solutions, asymptotically almost periodic solutions, almost periodic type operators
PDF Full Text Request
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