On the existence of multiple solutions for a nonlocal BVP with vector-valued response
Andrzej Nowakowski, Aleksandra Orpel (2006)
Czechoslovak Mathematical Journal
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The existence of positive solutions for a nonlocal boundary-value problem with vector-valued response is investigated. We develop duality and variational principles for this problem. Our variational approach enables us to approximate solutions and give a measure of a duality gap between the primal and dual functional for minimizing sequences.