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

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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.
Classification : 34B10, 34B15, 34B18, 47J05, 47N20, 58E30
Keywords: nonlocal boundary-value problems; positive solutions; duality method; variational method 
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     author = {Nowakowski, Andrzej and Orpel, Aleksandra},
     title = {On the existence of multiple solutions for a nonlocal {BVP} with vector-valued response},
     journal = {Czechoslovak Mathematical Journal},
     pages = {621--640},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {2006},
     mrnumber = {2291762},
     zbl = {1164.34361},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2006__56_2_a26/}
}
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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/