Upper and lower solution method for fourth-order four-point boundary value problems

Authors:
De-xiang Ma;Xiao-zhong Yang
Affiliations:
Department of Mathematics, North China Electric Power University, Beijing 102206, China;Department of Mathematics, North China Electric Power University, Beijing 102206, China
Venue:
Journal of Computational and Applied Mathematics
Year:
2009

Citing 2
Cited 2

The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

Journal of Computational and Applied Mathematics
Upper and lower solution method for fourth-order four-point boundary value problems

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A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems

Computers & Mathematics with Applications
On 2nth-order nonlinear multi-point boundary value problems

Mathematical and Computer Modelling: An International Journal

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Abstract

This paper is concerned with the fourth-order four-point boundary value problem {u^(^4^)(t)+f(t,u,u^'')=0,t@?[0,1]=I,u(0)=0,u(1)=au(@h),u^''(0)=0,u^''(1)=bu(@x), where @h,@x@?(0,1) and a,b=0. The upper and lower solution method and a new maximum principle are employed to establish existence results and we release the increasing condition imposed on f(t,u,v).