Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9503111 | Journal of Mathematical Analysis and Applications | 2005 | 11 Pages |
Abstract
This paper is concerned with the fourth-order elliptic boundary value problems with nonmonotone nonlinear function. The existence and uniqueness of a solution is proven by the method of upper and lower solutions. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal solution or a minimal solution, depending on whether the initial iteration is an upper solution or a lower solution.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yuan-Ming Wang,