Article ID Journal Published Year Pages File Type
1709720 Applied Mathematics Letters 2010 5 Pages PDF
Abstract

In this paper, by using the Leggett–Williams fixed point theorem, we establish an existence criterion for triple positive solutions of the nonlinear fourth-order two-point boundary value problem {u(4)(t)=g(t)f(t,u(t),u′(t)),t∈(0,1)u(0)=u′(1)=u″(0)=u‴(1)=0. An example is also included to demonstrate the result we obtained.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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