Accession Number : AD0610650

Title :   ABOUT A CONCEPT OF SOLVING DIFFERENTIALDIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS,

Corporate Author : FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Velikii,A. P.

Report Date : 28 JAN 1965

Pagination or Media Count : 8

Abstract : It is shown in this report that the solving of differentialdifference equations of specific class can be presented in form of a sum of two components, the first one of which is solution of a certain difference equation, and the second one sum of solutions of a certain recurrent system of differential equations. Such a concept allows easily to find accurate solutions of differential-difference equations, without resorting to the determination of roots of corresponding transcedental characteristic equations. A concrete example is given. The proposed method appears to be one of the variants of a combination of a known step method and Laplace transform.

Descriptors :   (*DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS), (*DIFFERENCE EQUATIONS, DIFFERENTIAL EQUATIONS), INTEGRAL TRANSFORMS, STABILITY, FUNCTIONS(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES, USSR

Distribution Statement : APPROVED FOR PUBLIC RELEASE