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Zbl 1206.65188
Pei, Minghe; Chang, Sung Kag
Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem. (English)
[J] Math. Comput. Modelling 51, No. 9-10, 1260-1267 (2010). ISSN 0895-7177

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.
[R. K. Mohanty (Delhi)]
MSC 2000:
*65L10 Boundary value problems for ODE (numerical methods)
34B15 Nonlinear boundary value problems of ODE

Keywords: fourth-order boundary value problems; symmetric positive solution; monotone iterative technique; multiplicity

Cited in: Zbl 1248.34139

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