An Application Of A Variational Reduction Method To A Beam Equation

Posted on:2013-11-28

Degree:Master

Type:Thesis

Country:China

Candidate:P P Shi

Full Text:PDF

GTID:2230330371497694

Subject:Applied Mathematics

Abstract/Summary:

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In this paper we investigate the existence and multiplicity of solutions.Here k1v+-k2v-is a piecewise-inear perturbation,-1<k2<3<k1<15and k1,k2satisfy the conditionAnd cosx。1introduction2the related definitions and theorems3The Banach space spanned by eigenfunctions4The nonlinearity-(k1v+-k2v-) crosses the first negative eigenvalue α105conclution...

Keywords/Search Tags:

Variational reduction method, Critical points, a piecewise-linear perturbation, latternotations, normalized eigenfunction

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