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A+ CATEGORY SCIENTIFIC UNIT

Existence of positive solutions for a nonlinear fourth order boundary value problem

Volume 81 / 2003

Ruyun Ma Annales Polonici Mathematici 81 (2003), 79-84 MSC: Primary 34B18. DOI: 10.4064/ap81-1-7

Abstract

We study the existence of positive solutions of the nonlinear fourth order problem where a: [0,1]\rightarrow \mathbb R may change sign, f(0)>0, and \lambda>0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.

Authors

  • Ruyun MaDepartment of Mathematics
    Northwest Normal University
    Lanzhou 730070, Gansu, P. R. China
    e-mail

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