Positive solutions for systems of nonlinear eigenvalue problems for functional differential equations |
| |
| Authors: | J. Henderson S. K. Ntouyas |
| |
| Affiliation: | 1. Department of Mathematics , Baylor University , Waco , Texas , 76798-7328 , USA Johnny_Henderson@baylor.edu;3. Department of Mathematics , University of Ioannina , Ioannina 451 10 , Greece |
| |
| Abstract: | Values of?λ?are determined for which there exist positive solutions of the system of functional differential equations, u″?+?λa(t)f(v t )?=?0,v″?+?λb(t)g(u t )?=?0, for 0?t?u(s)?=?v(s)?=?φ(s), ?r?≤?s?≤?0, and the boundary conditions u(0)?=?v(0)?=?φ(0)?=?u(1)?=?v(1)?=?0. A Guo–Krasnosel'skii fixed point theorem is applied. |
| |
| Keywords: | System of functional differential equations Boundary value problem Eigenvalue problem |
|
|
