Global Exponential Stability of Impulsive Functional Differential Equations with Effect of Delay at the Time of Impulses

Global Exponential Stability of Impulsive Functional Differential Equations with Effect of Delay at the Time of Impulses

Palwinder Singh

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Kanwalpreet Kaur

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Sanjay K. Srivastava

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1 Lyallpur Khalsa College ,Jalandhar

GJSFR Volume 15 Issue F8

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This paper studies the global exponential stability of impulsive functional differential system with the effect of delay at the time of impulses by using Lyapunov functions and Razumikhin technique. This result extends some results existing in the literature. The obtained result also shows that the derivative of Lyapunov function may not be negative even then impulses can make the system globally exponentially stabilized.

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References

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S Ahmad,M Rao (1999). Theory of Ordinary differential Differential Equations.
Jin Zhou,Quanjun Wu (2009). Exponential Stability of Impulsive Delayed Linear Differential Equations.
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Yu Zhang,Jitao Sun (2005). Stability of Impulsive Linear Differential Equations With Time Delay.
Gcorge Ballinger,Xinzhi Liu (1999). Existence, uniqueness and boundedness results for impulsive delay differential equations.
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X Liu,G Ballinger (2002). Existence and continuability of solutions for differential equations with delays and state-dependent impulses.
Jianhua Shen,Jurang Yan (1998). Razumikhin type stability theorems for impulsive functional differential equations.
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Ivanka Stamova,Gani Stamov (2001). Lyapunov–Razumikhin method for impulsive functional differential equations and applications to the population dynamics.
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Dilbaj Singh,S Srivastava (2013). Uniform strict stability for impulsive functional differential equations.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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Palwinder Singh. 2015. \u201cGlobal Exponential Stability of Impulsive Functional Differential Equations with Effect of Delay at the Time of Impulses\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F8): .

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GJSFR Volume 15 Issue F8
Pg. 15- 21

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification: MSC 2010: 35R50

Submission ReceivedSeptember 4, 2015
RevisedSeptember 4, 2015
Peer Review Double Blind
Handling Editor
Accepted September 25, 2015
Published October 8, 2015

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Issue date

October 15, 2015

Language

English

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Total Score: 103

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Palwinder Singh, Kanwalpreet Kaur, Sanjay K. Srivastava (PhD/Dr. count: 0)

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