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Existence Of Pseudo-Symmetric Solution For Second-Order Nonlinear Differential Equations.

Posted on:2013-12-15Degree:MasterType:Thesis
Country:ChinaCandidate:C PengFull Text:PDF
GTID:2230330371476985Subject:Applied Mathematics
Abstract/Summary:
Boundary value problems for differential equations are an important branch of dif-ferential equations.In this paper,by using cone expansion and compression fixed point theorem, we obtain the existence and multiplicity of pseudo-antisymmetry positive so-lutions of boundary value problems for second order four-point nonlinear differential equations.By applying a new version of Leggett-Williams’multiple fixed point theorem,we consider the existence of pseudo-symmetric solutions to boundary value problems for second order impulsive differential equations.
Keywords/Search Tags:cone, operator, boundary value problem, pseudo-symmetricsolution, fixed point theorem, impulsive differential equation
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