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MATHEMATICA BOHEMICA, Vol. 133, No. 1, pp. 41-61 (2008)
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An existence and multiplicity result for a periodic boundary value problem

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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

**Full text of the article:**

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