Multiple periodic solutions of some Liénard equations with p-Laplacian
Cristian Bereanu
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 15, Number 2 (2008), 277-285.
Abstract
The existence, non-existence and multiplicity of solutions to periodic boundary value problems of Liénard type \begin{eqnarray*} (|u'|^{p-2}u')'+ f(u)u'+ g(u) = e(t) + s,\quad u(0)-u(T)=0=u'(0)-u'(T), \end{eqnarray*} is discussed, where $p>1,$ $f$ is arbitrary and $g$ is assumed to be bounded, positive and $g(\pm\infty)=0.$ The function $e$ is continuous on $[0,T]$ with mean value $0$ and $s$ is a parameter.
Primary Subjects: 34B15, 34B16, 34C25
Keywords: p-Laplacian; Liénard equations; periodic solutions; Leray-Schauder degree
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1210254825
Bulletin of the Belgian Mathematical Society - Simon Stevin
