Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4626483 | Applied Mathematics and Computation | 2015 | 9 Pages |
Abstract
In this paper, we introduce the notion of a strict lower/upper solution to nonlinear Sturm–Liouville boundary value problems. Based on the maximum principles, we establish a result of Leray–Schauder degree on the ordered intervals induced by the pairs of strict lower and upper solutions. Applying the result and the fixed point index theory in cones, we obtain the global existence results of positive solutions for sub-superlinear Sturm–Liouville problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiyou Cheng, Guowei Dai,