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Keywords:
nonlocal boundary-value problems; positive solutions; duality method; variational method
nonlocal boundary-value problems; positive solutions; duality method; variational method
Summary:
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.
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