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http://hdl.handle.net/10174/10063
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Title: | MULTIPLICITY AND LOCATION RESULTS FOR SECOND ORDER FUNCTIONAL BOUNDARY VALUE PROBLEMS |
Authors: | Fialho, João Minhós, Feliz |
Keywords: | Ambrosetti-Prodi problems funcitonal boundary conditions |
Issue Date: | 2013 |
Publisher: | Dynamic Publishers, Inc. |
Citation: | 38. J. Fialho, Feliz Minhós, Multiplicity and locations results for second order functional boundary value problems, Dynamic Systems and Applications, 22 (2013), 11 pages, ISSN: 1056-2176, http://www.dynamicpublishers.org/journals/index.php/DSA |
Abstract: | In this work it is presented some existence, non-existence and location results for
the problem composed by the second order fully nonlinear equation with a real parameter s and functional boundary conditions satisfying some adequate monotonicity assumptions.
It will be done a discussion on s about the existence and non-existence of solutions for problem
(E)-(BC): More precisely, there are s0; s1 2 R such that:
for s < s0 or (s > s0) there is no solution of (E)-(BC).
for s = s0 problem (E)-(BC) has one solution.
The arguments used apply lower and upper solutions technique, a Nagumo condition and a
priori estimations. |
URI: | http://www.dynamicpublishers.org/journals/index.php/DSA http://hdl.handle.net/10174/10063 |
ISSN: | 1056-2176 |
Type: | article |
Appears in Collections: | CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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