On the existence of multiple solutions for a nonlocal BVP with vector-valued response

Andrzej Nowakowski; Aleksandra Orpel

Czechoslovak Mathematical Journal (2006)

  • Volume: 56, Issue: 2, page 621-640
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Nowakowski, Andrzej, and Orpel, Aleksandra. "On the existence of multiple solutions for a nonlocal BVP with vector-valued response." Czechoslovak Mathematical Journal 56.2 (2006): 621-640. <http://eudml.org/doc/31054>.

@article{Nowakowski2006,
abstract = {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.},
author = {Nowakowski, Andrzej, Orpel, Aleksandra},
journal = {Czechoslovak Mathematical Journal},
keywords = {nonlocal boundary-value problems; positive solutions; duality method; variational method; positive solutions; duality method; variational method},
language = {eng},
number = {2},
pages = {621-640},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the existence of multiple solutions for a nonlocal BVP with vector-valued response},
url = {http://eudml.org/doc/31054},
volume = {56},
year = {2006},
}

TY - JOUR
AU - Nowakowski, Andrzej
AU - Orpel, Aleksandra
TI - On the existence of multiple solutions for a nonlocal BVP with vector-valued response
JO - Czechoslovak Mathematical Journal
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 56
IS - 2
SP - 621
EP - 640
AB - 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.
LA - eng
KW - nonlocal boundary-value problems; positive solutions; duality method; variational method; positive solutions; duality method; variational method
UR - http://eudml.org/doc/31054
ER -

References

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