Geodesic
An existence and multiplicity result for a periodic boundary value problem
Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 41-61.

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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.
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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Rudolf, Boris. An existence and multiplicity result for a periodic boundary value problem. Mathematica Bohemica, Tome 133 (2008) no. 1, pp. 41-61. doi : 10.21136/MB.2008.133946. http://geodesic.mathdoc.fr/articles/10.21136/MB.2008.133946/

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