Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843813 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 24 Pages |
Abstract
We study the nonlinear boundary value problem (ϕ(u′′))′′=f(t,u,u′,u′′),t∈(0,1),u(2i)(0)=u(2i)(1)=0,i=0,1, and obtain a necessary and sufficient condition for the existence of symmetric positive solutions. We also discuss the application of our result to the special case where ff is a power function of uu and its derivatives. Moreover, similar conclusions for a more general higher order boundary value problem are established. Our analysis mainly relies on the lower and upper solution method.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
John R. Graef, Lingju Kong,