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Zbl 1189.34035
Zhang, Xuemei; Ge, Weigao
Positive solutions for a class of boundary-value problems with integral boundary conditions. (English)
[J] Comput. Math. Appl. 58, No. 2, 203-215 (2009). ISSN 0898-1221

Summary: This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problems of fourth-order differential equations with integral boundary conditions. The arguments are based upon a specially constructed cone and the fixed-point theory in cone. The nonexistence of positive solutions is also studied.
MSC 2000:
*34B10 Multipoint boundary value problems
34B18 Positive solutions of nonlinear boundary value problems

Keywords: boundary-value problem; integral boundary conditions; positive solution; fixed-point theorem; existence

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