IJPAM: Volume 1, No. 1 (2002)

INITIAL VALUE PROBLEMS FOR MIXED
LINEAR DIFFERENCE-DIFFERENTIAL
EQUATIONS IN NONRECTANGULAR DOMAINS

G.A. Kamenskii
Moscow State Aviation Institute
Dept. of Differential Equations
Moscow 125871, Volokolamskoe shosse 4, RUSSIA


Abstract.There is developed a special type of operational calculus that is applied to an initial value problem for mixed differential-difference equations in nonrectangular domains. Application of proposed type kind of Laplace transformation permits to reduce this problem to solution of a difference equation that gives a new way to investigate such problems.

Received: 20 March, 2001

AMS Subject Classification: 34K10, 34K40

Key Words and Phrases: operational calculus, mixed difference-differential equations, nonrectangular domains

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2002
Volume: 1
Issue: 1