Multiple periodic solutions of some Lienard equations with p-Laplacian

Bereanu, Cristian
(2008) Belgian Mathematical Society - Simon Stevin. Bulletin — Vol. 15, n° 2, p. 277-285 (2008)

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  • Bereanu, CristianUCLouvain
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Abstract
The existence, non-existence and multiplicity of solutions to periodic boundary value problems of Lienard type (vertical bar u'vertical bar(p-2)u')' + f(u)u' = g(u) = e(t) + s, u(0) - u(T) = 0 = u'(0) - u'(T), is discussed, where p > 1, f is arbitrary and g is assumed to be bounded, positive and g(+/-infinity) = 0. The function e is continuous on [0,T] with mean value 0 and s is a parameter.
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Bereanu, C. (2008). Multiple periodic solutions of some Lienard equations with p-Laplacian. Belgian Mathematical Society - Simon Stevin. Bulletin, 15(2), 277-285. https://hdl.handle.net/2078.5/41581 (Original work published 2008)