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.
|Electronic Journal of Qualitative Theory of Differential Equations
|Published - Dec 1 2009
All Science Journal Classification (ASJC) codes
- Applied Mathematics