Name
Title | ||
|---|---|---|
Existence and iteration of positive solutions for a multipoint one-dimensional p-Laplacian boundary value problem |
Abstract | ||
|---|---|---|
In this paper, we study the existence and iteration of positive solutions for the one-dimensional p-Laplacian differential equation(ϕp(u′(t)))′+q(t)f(t,u(t),u′(t))=0,t∈(0,1),subject to the following multipoint boundary condition,u(0)=∑i=1n-2αiu(ξi),u(1)=∑i=1n-2βiu(ξi).By applying a monotone iterative method, we not only obtain the existence of positive solutions for the problem, but also establish iterative schemes for approximating the solutions. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.amc.2007.07.071 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Positive solutions,Iteration,Multipoint boundary value problems,p-Laplacian,Cone | Boundary value problem,Differential equation,Mathematical optimization,Monotone iterative method,Mathematical analysis,Iterative method,Numerical analysis,Partial differential equation,Mathematics,p-Laplacian,Laplace operator | Journal |
Volume | Issue | ISSN |
197 | 1 | 0096-3003 |
Citations | PageRank | References |
2 | 0.43 | 2 |
Authors | ||
3 | ||