Displaying similar documents to “Multiple solutions of nonlinear boundary value problems and topological degree”

An existence and multiplicity result for a periodic boundary value problem

Boris Rudolf (2008)

Mathematica Bohemica

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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.