IJPAM: Volume 34, No. 2 (2007)

EXPONENTIAL BOUNDEDNESS FOR SOLUTIONS OF
LINEAR IMPULSIVE DIFFERENTIAL EQUATIONS
WITH DISTRIBUTED DELAY

J.O. Alzabut$^1$, T. Abdeljawad$^2$
$^{1,2}$Department of Mathematics and Computer Science
Çankaya University
Ankara, 06530, TURKEY
$^1$e-mail: [email protected]
$^2$e-mail: [email protected]


Abstract.Exponential bounds are obtained for the solutions of a new class of linear impulsive differential equations with distributed delay. The coefficients and the powers of these estimates are derived explicitly from the parameters of the equations and independent of the initial data.

Received: October 30, 2006

AMS Subject Classification: 34A37

Key Words and Phrases: impulse, distributed delay, exponential bound

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 2