An existence and multiplicity result for a periodic boundary value problem

Rudolf, Boris

Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 41-61

Abstract (VO)

A periodic boundary value problem for nonlinear differential equation of the second order is studied. Nagumo condition is not assumed on a part of nonlinearity. Existence and multiplicity results are proved using the method of lower and upper solutions. Results are applied to the generalized Liénard oscillator.

Détail

DOI : 10.21136/MB.2008.133946

Classification : 34B15, 34C25
Keywords: periodic boundary value problem; multiplicity result; method of lower and upper solutions; Liénard oscillator

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