BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE IMPULSIVE PERTURBATIONS
- 1 April 2008
- journal article
- research article
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 77 (2), 331-345
- https://doi.org/10.1017/s0004972708000439
Abstract
In the present paper an initial value problem for impulsive functional differential equations with variable impulsive perturbations is considered. By means of piecewise continuous functions coupled with the Razumikhin technique, sufficient conditions for boundedness of solutions of such equations are found.Keywords
This publication has 11 references indexed in Scilit:
- Stability and boundedness for impulsive functional differential equations with infinite delaysNonlinear Analysis, 2001
- Lyapunov–Razumikhin method for impulsive functional differential equations and applications to the population dynamicsJournal of Computational and Applied Mathematics, 2001
- Lipschitz stability of impulsive functional-differential equationsThe ANZIAM Journal, 2001
- Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functionsNonlinear Analysis, 1999
- Razumikhin type stability theorems for impulsive functional differential equationsNonlinear Analysis, 1998
- ON BOUNDEDNESS OF SOLUTIONS OF IMPULSIVE INTEGRO-DIFFERENTIAL SYSTEMS WITH FIXED MOMENTS OF IMPULSE EFFECTSActa Mathematica Scientia, 1997
- The persistence of nonoscillatory solutions of delay differential equations under impulsive perturbationsComputers & Mathematics with Applications, 1994
- Introduction to Functional Differential EquationsApplied Mathematical Sciences, 1993
- Practical Stability of Nonlinear SystemsPublished by World Scientific Pub Co Pte Ltd ,1990
- Theory of Functional Differential EquationsApplied Mathematical Sciences, 1977