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In this paper, we extend the concept of strict practical stability to impulsive functional differential equations by using Lyapunov functions and Razumikhin technique. As practical stability does not give us much information about the rate of decay of solution so we develop the idea for strict practical stability of functional differential equations with impulsive effect and obtained some conditions for strict practical uniform stability for functional differential equations with impulse by using piecewise continuous Lyapunov functions and Razumikhin technique.
Dr. Sapna Rani. 2013. \u201cStrictly Practical Stabilization of Impulsive Functional Differential Equations by using Lyapunov functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F4): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 107
Country: India
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Dr. Sapna Rani, Dilbaj Singh (PhD/Dr. count: 1)
View Count (all-time): 117
Total Views (Real + Logic): 4830
Total Downloads (simulated): 2545
Publish Date: 2013 05, Sat
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In this paper, we extend the concept of strict practical stability to impulsive functional differential equations by using Lyapunov functions and Razumikhin technique. As practical stability does not give us much information about the rate of decay of solution so we develop the idea for strict practical stability of functional differential equations with impulsive effect and obtained some conditions for strict practical uniform stability for functional differential equations with impulse by using piecewise continuous Lyapunov functions and Razumikhin technique.
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