An Existence Result of Positive Solutions for Fully Second-Order Boundary Value Problems

An existence result of positive solutions is obtained for the fully second-order boundary value problem  -u′′(t)=f(t,u(t),u′(t)),  t∈[0,1],  u(0)=u(1)=0, where f:[0,1]×R+×R→R is continuous. The nonlinearity f(t,x,y) may be sign-changing and superlinear growth on x and y. Our discussion is based on t...

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Bibliographic Details
Main Authors: Yongxiang Li, Yaya Shang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/287253