Andrzej Nowakowski & Aleksandra Orpel
Using variational methods, we study the existence of positive solutions for a nonlocal boundary-value problem with vector-valued response. We develop duality and variational principles for this problem and present a numerical version which enables the approximation of solutions and gives a measure of a duality gap between primal and dual functional for approximate solutions for this problem.
Submitted February 27, 2002. Published May 28, 2002.
Math Subject Classifications: 34B18.
Key Words: Nonlocal boundary-value problems, positive solutions, duality method, variational method.
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Faculty of Mathematics, University of Lodz,
Banacha 22, 90-238 Lodz, Poland