On Retention of Eventual Stability of Perturbed Impulsive Differential Systems


  • Anju Sood Research Scholar(1113002) Department:Applied Sciences Discipline: Mathematics Punjab Technical University Kapurthala- Punjab-INDIA
  • Sanjay Kumar Srivastava Department: Applied Sciences Discipline: Mathematics, Beant College of Engineering and Technology, Gurdaspur(Punjab)-INDIA




Eventual stability, impulsive differential systems, Lyapunov function, uniform eventual stability, perturbed differential systems


In this paper, a system of non nonlinear differential equations with
impulse effect at fixed time moments is considered and criteria for retention of
uniform eventual stability of its perturbed impulsive differential systems under
vanishing perturbations are established. Sufficient conditions are obtained by
using piecewise continuous Lyapunov functions. An example is also worked out
to illustrate the results.

AMS Subject Classification: 34CXX, 34DXX, 34A37, 34K45.

Author Biography

Anju Sood, Research Scholar(1113002) Department:Applied Sciences Discipline: Mathematics Punjab Technical University Kapurthala- Punjab-INDIA

1.Research Scholar

Punjab Technical University, Kapurthala, Punjab-INDIA

2. Associate Professor in Mathematics

Rayat Bahra Institute of Management

Hoshiarpur-146001, Punjab-INDIA


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