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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Guru Nanak Dev University

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

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Abstract

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.

References

19 Cites in Article

Reference Format

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

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

Keywords

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Classification

GJSFR-F Classification: MSC 2010: 35R50

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

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v1.2

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October 15, 2015

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Article Matrices

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)

View Count (all-time): 174

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Publish Date: 2015 10, Thu

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Total Views: 4269

Total Downloads: 2088

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