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Monotone method for the Neumann problem with lower and upper solutions in the reverse order

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Cabada, A Habets, Patrick [UCL] Lois, S

This work is devoted to the study of the existence and approximation of solutions of the problem u " = f(t, u, u'), u'(a) = u'(b) = 0 in the presence of lower and upper solutions in the reverse order. To this end we prove anti-maximum principles for the nonlinear operator u " + 2ku' + lambdau. (C) 2001 Elsevier Science Inc, All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2001
Language Anglais
Journal information "Applied Mathematics and Computation" - Vol. 117, no. 1, p. 1-14 (2001)
Peer reviewed yes
Publisher Elsevier Science Inc (New York)
issn 0096-3003
e-issn 1873-5649
Publication status Publié
Affiliation UCL - FSA/INMA - Département d'ingénierie mathématique
Keywords nonlinear boundary value problem ; anti-maximum principles
Links
Bibliographic reference Cabada, A ; Habets, Patrick ; Lois, S. Monotone method for the Neumann problem with lower and upper solutions in the reverse order. In: Applied Mathematics and Computation, Vol. 117, no. 1, p. 1-14 (2001)
Permanent URL http://hdl.handle.net/2078.1/43001