This paper is devoted to the study Cauchy problem for a linear integrodifferential operator equation with convolutional type Volterra integral part and Fredholm operator by the derivative of highest order. Sufficient conditions of classical (N times strongly continuously differentiable) solution existence and uniqueness, as well as explicit formulas for its restoration are obtained. These results are applyed to the investigation of initial boundary value problem, arising in mathematical theory of viscoelacity.
Alan : Fen Bilimleri ve Matematik
Dergi Türü : Uluslararası
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