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Initial And Boundary Value Problems For Fuzzy Differential Equations

Posted on:2011-05-24Degree:MasterType:Thesis
Country:ChinaCandidate:W L FanFull Text:PDF
GTID:2120360305995619Subject:Basic mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we discuss the problems of initial and boundary value for fuzzy differential equations. The results given in this paper extend and improve the corre-sponding ones in the literatures.In Chapter 1, we introduce the fundamental concepts and theory of fuzzy differ-ential equations.In Chapter 2, we consider the existence of the solution of a type of impulsive fuzzy differential equationsIn section 2.3, we consider the equivalence between problem (*) and then by using method of contraction principle, the existence for the solution to problem (*) is obtained.In Chapter 3, we consider the existence of extremal solutions for fuzzy differential equationsIn section 3.3, existence for solutions of the following system is considered.In section 3.4, using monotone iterative technique, existence of extremal solutions to problem (**) is established.
Keywords/Search Tags:Fuzzy initial value problem, Fuzzy lower and upper solutions, Monotone method, Periodic boundary value problems
PDF Full Text Request
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