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An existence and multiplicity result for a periodic boundary value problem

Boris Rudolf (2008)

Mathematica Bohemica

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.

An existence result for impulsive functional differential inclusions in Banach spaces

Irene Benedetti (2004)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

We use the topological degree theory for condensing multimaps to present an existence result for impulsive semilinear functional differential inclusions in Banach spaces. Moreover, under some additional assumptions we prove the compactness of the solution set.

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