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Existence of global solutions of initial value problem for nonlinear integro -differential equations of mixed type in Banach spaces
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2001
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Banach SpacesNew Comparsion ResultNonlinear EquationThird OrderFunctional AnalysisEvolution EquationIntegrable SystemCalculus Of VariationMixed TypeGlobal SolutionsNonlinear Functional Analysis
In this paper,by the use of a new comparsion result and Mnch fixed point theorem, the existence of global solutions of initial value problem for nonlinear integro differential equations of mixed type in Banach spaces is investigated.As an application of our result,the existence of global solutions for two classes of third order mixed boundary value problem is obtained.