Abstract
We study a class of second order nonlinear difference boundary value problems with separated boundary conditions. A series of criteria are obtained for the existence of one, two, arbitrary number, and even an infinite number of positive solutions. A theorem for the nonexistence of positive solutions is also derived. Several examples are given to demonstrate the applications. Our results improve and supplement several results in the literature.
| Original language | English (US) |
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| Journal | Electronic Journal of Qualitative Theory of Differential Equations |
| State | Published - Dec 1 2009 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics