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On boundary value problems for second-order discrete inclusions


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.

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Correspondence to Petr Stehlík.

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Stehlík, P., Tisdell, C.C. On boundary value problems for second-order discrete inclusions. Bound Value Probl 2005, 162763 (2005).

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