Open Access
Translator Disclaimer
2014 Existence of Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions
Ruikuan Liu, Ruyun Ma
J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/972135

Abstract

We study the existence and nonexistence of positive solutions for the following fourth-order two-point boundary value problem subject to nonlinear boundary conditions u′′′′(t)=λf(t,u(t)), t(0,1),u(0)=0, u(0)=μh(u(0)), u′′(1)=0, u′′′(1)=μg(u(1)), where λ>0, μ0 are parameters, and f:0, 1×0,+0, +, h:0, +0, +, and g:0, +-,0 are continuous. By using the fixed-point index theory, we prove that the problem has at least one positive solution for λ, μ sufficiently small and has no positive solution for λ large enough.

Citation

Download Citation

Ruikuan Liu. Ruyun Ma. "Existence of Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/972135

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010810
MathSciNet: MR3187054
Digital Object Identifier: 10.1155/2014/972135

Rights: Copyright © 2014 Hindawi

JOURNAL ARTICLE
5 PAGES


SHARE
Vol.2014 • 2014
Back to Top