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Zbl 1075.34015
Belarbi, Abdelkader; Benchohra, Mouffak
Existence results for nonlinear boundary-value problems with integral boundary conditions. (English)
[J] Electron. J. Differ. Equ. 2005, Paper No. 06, 10 p., electronic only (2005). ISSN 1072-6691/e

Summary: We investigate the existence of solutions for a second-order nonlinear boundary value problem with integral boundary conditions. By using suitable fixed-point theorems, we study the cases when the right-hand side has convex and nonconvex values.
MSC 2000:
*34B15 Nonlinear boundary value problems of ODE
34A60 ODE with multivalued right-hand sides

Keywords: Nonlinear boundary value problem; integral boundary conditions; contraction; fixed-point

Cited in: Zbl 1133.34009

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