On the existence of solutions of an integro-differential equation in Banach spaces
Stanisław Szufla (2009)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Displaying similar documents to “On some classes of Volterra integral equations in Banach space”
On the existence of solutions of an integro-differential equation in Banach spaces
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By using the theory of strongly continuous cosine families of linear operators in Banach space the existence of solutions of some semilinear second order Volterra integrodifferential equations in Banach spaces is proved. The results are applied to some integro-partial differential equations.
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