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Periodic solutions of nonlinear perturbations of phi-Laplacians with possibly bounded phi

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Bereanu, Cristian [UCL] Mawhin, Jean [UCL]

Using Leray-Schauder degree theory we obtain various existence and multiplicity results for nonlinear periodic boundary-value problems of the form (phi(u'))' = f(t, u, u'), u(0) - u(T) = 0 = u'(0) - u'(T), where phi : R -->] -a, a [ (0 < a <= + infinity) is a homeomorphism, phi(0) = 0 and f : [0, T] x R-2 --> R is a continuous function. (C) 2007 Elsevier Ltd. All rights reserved.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 2008
Language Anglais
Journal information "Nonlinear Analysis: Theory, Methods & Applications" - Vol. 68, no. 6, p. 1668-1681 (2008)
Peer reviewed yes
Publisher Pergamon-elsevier Science Ltd (Oxford)
issn 0362-546X
e-issn 1873-5215
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Keywords phi-Laplacian ; periodic solutions ; continuation theorem ; Leray-Schauder degree
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Bibliographic reference Bereanu, Cristian ; Mawhin, Jean. Periodic solutions of nonlinear perturbations of phi-Laplacians with possibly bounded phi. In: Nonlinear Analysis: Theory, Methods & Applications, Vol. 68, no. 6, p. 1668-1681 (2008)
Permanent URL http://hdl.handle.net/2078.1/36753