MIXED VALUE PROBLEM FOR A PSEUDOPARABOLIC TYPE INTEGRO-DIFFERENTIAL EQUATION WITH DELAY AND DEGENERATE KERNEL
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In this artcle is considered the questions of one value solvability of the mixed value problem for a nonlinear pseudoparabolic type integro-differential equation with delay argument and degenerate kernel. The method of degenerate kernel is developed to the case of considering pseudoparabolic type integrodifferential equation of the third order. It is used the Fourier method of separation of variables. After denoting the integro-differential equation is reduced to a system of countable system of algebraic equations. The theorem of one value solvability of mixed value problem is proved by the method of successive approximations.
Abstract
In this artcle is considered the questions of one value solvability of the mixed value problem for a nonlinear pseudoparabolic type integro-differential equation with delay argument and degenerate kernel. The method of degenerate kernel is developed to the case of considering pseudoparabolic type integrodifferential equation of the third order. It is used the Fourier method of separation of variables. After denoting the integro-differential equation is reduced to a system of countable system of algebraic equations. The theorem of one value solvability of mixed value problem is proved by the method of successive approximations.
참고문헌 (9)
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