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