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Methods Of Invariant Sets Of Descending Flow With Applications To Nonlinear Differential Equations

Posted on:2006-11-18Degree:MasterType:Thesis
Country:ChinaCandidate:W L WuFull Text:PDF
GTID:2120360212982941Subject:Applied Mathematics
Abstract/Summary:
Properties of invariant sets of descending flow defined by a pseudogradient vector field of a functional in a Banach space are studied . Four critical points can be found by replacing the condition of (P.S.) by retractable property,In this way, we need not consider the embedding of spaces.As an application of invariant sets of descending flow ,we proved the existence of at least four solutions of the equation...
Keywords/Search Tags:invariant sets of descending flow, sub- and -super solution, retractable property, Schrodinger equation
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