The Rothe's Method to a Parabolic Integrodifferential Equation with a Nonclassical Boundary Conditions

[摘要] This paper is devoted to prove, in a nonclassical function space,the weak solvability of parabolic integrodifferential equations with a nonclassical boundary conditions. The investigation is made by means of approximation by the Rothes method which is based on a semidiscretization of the given problem with respect to the time variable.

[学科分类] 应用数学