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2013 Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
Hui Li, Libo Wang, Minghe Pei
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/782363

Abstract

We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x(t),x(t),x(t)), t[0,1], x(0)=x(1)=0, x(0)=01h(s,x(s),x(s),x(s))ds, x(1)=0, where fC([0,1]×4), hC([0,1]×3). By using a fixed point theorem due to D. O'Regan, the existence of solutions and positive solutions for the previous boundary value problems is obtained. Meanwhile, as applications, some examples are given to illustrate our results.

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Hui Li. Libo Wang. Minghe Pei. "Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/782363

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1270.34033
MathSciNet: MR3035180
Digital Object Identifier: 10.1155/2013/782363

Rights: Copyright © 2013 Hindawi

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