Positive solutions for a nonlocal boundary-value problem with vector-valued response

Andrzej Nowakowski, Aleksandra Orpel
2003 Bulletin of the Belgian Mathematical Society Simon Stevin  
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. * Mathematics Subject Classifications: 34B18.
doi:10.36045/bbms/1063372346 fatcat:dit5ha4pevgzpeeleizpseijmm