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Almost Periodic Type Solutions Of Nonlinear Integral Equations

Posted on:2013-03-23Degree:MasterType:Thesis
Country:ChinaCandidate:Y Y ChenFull Text:PDF
GTID:2180330377459798Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this thesis, we discuss the existence of positive almost periodic solutions tosome class of integral equations.In chapter1, we introduce the backgrounds of the problem and the main resultsof this thesis.In chapter2, we introduce the basic definitions, propositions and theorems.In chapter3, a new fixed point theorem in partially ordered Banach spacesis established, then used to prove the existence of positive pseudo almost periodicsolutions to a class of neutral integral equations:Chapter4is concerned with the existence of Cn-almost periodic solution for aclass of nonlinear Fredholm integral equation, and the existence of almost periodicsolution for a class of more general nonlinear integral equation.
Keywords/Search Tags:pseudo almost periodic, neutral integral equations, Cn-almostperiodic solution, almost periodic solution, Fredholm integral equation
PDF Full Text Request
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