MATHEMATICA BOHEMICA, Vol. 133, No. 1, pp. 41-61 (2008)

An existence and multiplicity result for a periodic boundary value problem

Boris Rudolf

Boris Rudolf, Department of Mathematics, Faculty of Electrical Engineering STU, 812 19 Bratislava, Slovakia, e-mail: Boris.Rudolf@stuba.sk

Abstract: 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.

Keywords: periodic boundary value problem, multiplicity result, method of lower and upper solutions, Liénard oscillator

Classification (MSC2000): 34C25

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