IJPAM: Volume 1, No. 1 (2002)
INITIAL VALUE PROBLEMS FOR MIXED
LINEAR DIFFERENCE-DIFFERENTIAL
EQUATIONS IN NONRECTANGULAR DOMAINS
LINEAR DIFFERENCE-DIFFERENTIAL
EQUATIONS IN NONRECTANGULAR DOMAINS
G.A. Kamenskii
Moscow State Aviation Institute
Dept. of Differential Equations
Moscow 125871, Volokolamskoe shosse 4, RUSSIA
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