On boundary value problems for second-order discrete inclusions. (12th June 2005)

• Record Type: Journal Article
• Authors: Stehlík, Petr; Tisdell, Christopher C.
• Is Part Of: Boundary value problems. Volume 2(2005)
• Page Start: 153
• Page End: 163
• Publication Date: 2005-06-12
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/BVP.2005.153
• Languages: English
• ISSNs: 1687-2762

Abstract

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.