Geodesic
On the existence of multiple solutions for a nonlocal BVP with vector-valued response
Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 621-640 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 34B10, 34B15, 34B18, 47J05, 47N20, 58E30
Keywords: nonlocal boundary-value problems; positive solutions; duality method; variational method 
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Nowakowski, Andrzej; Orpel, Aleksandra. On the existence of multiple solutions for a nonlocal BVP with vector-valued response. Czechoslovak Mathematical Journal, Tome 56 (2006) no. 2, pp. 621-640. http://geodesic.mathdoc.fr/item/CMJ_2006_56_2_a26/

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