In this paper we prove a generalization of the well known theorem of Krasnoselskii on the superposition operator in which the domain of Nemytskii's operator is a product space. We also give an application of this result.
The nonlinear second order differential equationwith superlinear function g is investigated. Based on dual variational method the existence of solution is proved. Dependence on parameters and approximation method are also presented.
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