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Pei, Minghe; Chang, Sung Kag

Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem. (English) Zbl 1206.65188

Math. Comput. Modelling 51, No. 9-10, 1260-1267 (2010).
The authors investigate the existence of symmetric positive solutions for a class of fourth-order boundary value problems of the first kind. Using a monotone iterative technique, they prove that the boundary value problem has symmetric positive solutions under certain conditions. Moreover, these solutions are obtained by the iteration procedure.
Reviewer: R. K. Mohanty (Delhi)

Cited in 1 Review
Cited in 25 Documents

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations

Keywords:

fourth-order boundary value problems; symmetric positive solution; monotone iterative technique; multiplicity
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\textit{M. Pei} and \textit{S. K. Chang}, Math. Comput. Modelling 51, No. 9--10, 1260--1267 (2010; Zbl 1206.65188)
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References:

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