Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales
1 Department of Mathematics, Ege University, Bornova, Izmir, 35100, Turkey
2 Department of Mathematics, Gazi University, Teknikokullar, Ankara, 06500, Turkey
Boundary Value Problems 2014, 2014:63 doi:10.1186/1687-2770-2014-63Published: 21 March 2014
In this paper, we determine the eigenvalue intervals of the parameters for which there exist positive solutions of the iterative systems of m-point boundary value problems on time scales. The method involves an application of Guo-Krasnosel’skii fixed point theorem. We give an example to demonstrate our main results.
MSC: 34B18, 34N05.