Exact number of positive solutions for quasilinear boundary value problems with p-convex nonlinearity | Zendy

Mohammed Derhab | Zendy; Hafidha Sebbagh | Zendy

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Exact number of positive solutions for quasilinear boundary value problems with p-convex nonlinearity

Author(s) -

Mohammed Derhab,

Hafidha Sebbagh

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1303499d

Subject(s) - mathematics , boundary value problem , regular polygon , quadrature (astronomy) , mathematical analysis , class (philosophy) , nonlinear system , convex function , function (biology) , pure mathematics , geometry , physics , quantum mechanics , artificial intelligence , evolutionary biology , computer science , optics , biology

By using the quadrature method, we study the exact number of positive solutions of the following quasilinear boundary value problem : where p (y) = |y|p-2 y, y ϵ R, p > 1, λ > 0 and ƒ : R+ ( R+ is of class C2 and p-convex function.

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