Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4634790 | Applied Mathematics and Computation | 2008 | 10 Pages |
Abstract
In this paper, we consider the multipoint boundary value problem for one-dimensional p-Laplacian(ϕp(u′))′+q(t)f(t,u)=0,t∈(0,1),subject to the boundary value conditions:u(0)=∑i=1nαiu(ξi),u(1)=∑i=1nβiu(ξi),where ϕp(s) = ∣s∣p−2s, p > 1, ξi∈(0,1)ξi∈(0,1) with 0<ξ1<ξ2<⋯<ξn<10<ξ1<ξ2<⋯<ξn<1 and αi,βi∈[0,∞)αi,βi∈[0,∞) satisfy 0<∑i=1nαi,∑i=1nβi<1. The nonlinear term f may change sign. Using a fixed point theorem for operators in a cone, we provide sufficient conditions for the existence of multiple positive solutions to the above boundary value problem.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Dehong Ji, Meiqiang Feng, Weigao Ge,