Uniform Stability for Impulsive Delay Differential Equations
Periodic Research (P: ISSN No. 2231-0045 RNI No. UPBIL/2012/55438 VOL. -6, ISSUE-1, August - 2017 E: ISSN No. 2349-9435)
Abstract
Associate Professor , Deptt.of Applied Sciences, Beant College of Engineering and Technology, Gurdaspur, Punjab.
Neeti Bhandari
Research Scholar, Deptt.of Applied Mathematics, IKG Punjab Technical University, Jalandhar, Punjab.
Neha Wadhwa
Assistant Professor, Deptt.of Applied Sciences, Amritsar College of Engineering and Technology, Amritsar, Punjab.
In this paper we obtain sufficient conditions for the stability of the zero solution of the delay differential equations with impulses
๐ฅ ′ ๐ก + ๐น ๐ก, ๐ฅ . = 0, ๐ก ≥ 0, ๐ก ≠ ๐๐ ๐ฅ ๐๐ + − ๐ฅ ๐๐ = ๐ผ๐ ๐ฅ ๐๐ , ๐ = 1,2, … , lim ๐→∞ ๐๐ = 0
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