Open Access

On boundary value problems for second-order discrete inclusions

Boundary Value Problems20052005:162763

DOI: 10.1155/BVP.2005.153

Received: 8 October 2004

Published: 12 June 2005

Abstract

We prove some existence theorems regarding solutions to boundary value problems for systems of second-order discrete inclusions. For a certain class of right-hand sides, we present some lemmas showing that all solutions to discrete second-order inclusions satisfy an a priori bound. Then we apply these a priori bounds, in conjunction with an appropriate fixed point theorem for inclusions, to obtain the existence of solutions. The theory is highlighted with several examples.

Authors’ Affiliations

(1)
Department of Mathematics, Faculty of Applied Sciences, University of West Bohemia
(2)
School of Mathematics, The University of New South Wales

Copyright

© Stehlík and Tisdell 2005