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Stability Theorems for Impulsive Functional Differential Equations

Asian Resonance ( P: ISSN No. 0976-8602 RNI No.UPENG/2012/426228 VOL.-IV, ISSUE-I, January-2015  E: ISSN No. 2349-9443 )   Abstract   Sanjay K. Srivastava  Associate Professor, Deptt. of Applied Sciences, Beant College of Engineering and Technology, Gurdaspur, Punjab Neeti Bhandari  Research Scholar, Deptt. of Applied Sciences, Punjab Technical University, Jalandhar, Punjab. Neha Wadhwa  Assistant Professor, Deptt. of Applied Sciences, Amritsar College of Engineering and Technology, Amritsar, In this paper, sufficient conditions are derived for asymptotic stability and uniformly asymptotic stability for impulsive functional differential equation using piecewise continuous differential equation. for full paper please visit below link : http://www.socialresearchfoundation.com/upoadreserchpapers/1/32/1504231224481st%20neeti%20bhnadari%201.pdf

Uniform Asymptotic Stability of Functional Differential Equations with Infinite Delay

Asian Resonance   (P: ISSN No. 0976-8602 RNI No.UPENG/2012/42622 VOL.-6, ISSUE-3, July - 2017 E: ISSN No. 2349-9443) Abstract   S.K. Srivastava  Associate Professor, Deptt.of Applied Sciences, Beant College of Engineering and Technology, Gurdaspur, Punjab, India. Neha Wadhwa  Assistant Professor, Deptt.of Applied Sciences, Amritsar College of Engineering and Technology, Amritsar, Punjab, India. Neeti Bhandari  Research Scholar, Deptt.of Applied Sciences, IKG Punjab Technical University, Jalandhar, Punjab, India.         In this paper criteria on uniform asymptotic stability is established for impulsive functional differential equations with infinite delay. It is shown that certain impulsive perturbations may make unstable systems uniformly stable, even uniformly asymptotically stable.  for full paper please visit below link : http://www.socialresearchfoundation.com/upoadreserchpapers/1/167/1907110734441st%20neha%20wadhwa%20(1).pdf

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   Sanjay K. Srivastava  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 𝑥 ′ 𝑡 + 𝐹 𝑡, 𝑥 . = 0, 𝑡 ≥ 0, 𝑡 ≠ 𝜏𝑘 𝑥 𝜏𝑘 + − 𝑥 𝜏𝑘 = 𝐼𝑘 𝑥 𝜏𝑘 , 𝑘 = 1,2, … , lim 𝑘→∞ 𝜏𝑘 = 0 for full paper please visit below link : http://www.socialresearchfoundation.com/upoadreserchpapers/2/174/1806270818521st%20neeti%20bhandri.pdf