Positive solutions of second order nonlinear difference boundary value problems
Qingkai Kong, Northern Illinois University, DeKalb, IL, U.S.A. E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 18., pp. 1-15.
Min Wang, Northern Illinois University, DeKalb, IL, U.S.A.
| Communicated by P. Eloe. | Received on 2009-06-29 Appeared on 2009-10-01 |
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.
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