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

Palwinder Singh

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

Palwinder Singh * §

Contact

§ Lyallpur Khalsa College ,Jalandhar

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

Article Fingerprint

ReserarchID

R4VR2

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

Key Research Insights

Synthesized scholarly intelligence & interactive research assistant

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

V Lakshmikantham,D Bainov,P Simeonov (1989). Theory of Impulsive Differential Equations.
S Ahmad,M Rao (1999). Theory of Ordinary differential Differential Equations.
Jin Zhou,Quanjun Wu (2009). Exponential Stability of Impulsive Delayed Linear Differential Equations.
Quanjun Wu,Jin Zhou,Lan Xiang (2010). Global exponential stability of impulsive differential equations with any time delays.
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.
George Ballinger,Xinzhi Liu (2001). Practical Stability of Impulsive Delay Differential Equations and Applications to Control Problems.
V Kolmanovskii,V Nosov (1986). Stability of Functional Differential Equations.
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.
Jack Hale,Sjoerd Lunel (1993). Functional differential equations: Basic theory.
V Lakshmikantham,X Liu (1989). Stability criteria for impulsive differential equations in terms of two measures.
V Kolmanovskii,V Nosov (1986). Stability of Functional Differential Equations.
Ivanka Stamova,Gani Stamov (2001). Lyapunov–Razumikhin method for impulsive functional differential equations and applications to the population dynamics.
Q Wang,X Liu (2005). Exponential stability for impulsive delay differential equations by Razumikhin method.
Z Luo,J Shen (2003). Impulsive stabilization of functional differential equations with infinite delays.
Q Wang,X Liu (2007). Impulsive stabilization of delay differential systems via Lyapunov-Razumikhin method.
Xinzhi Liu (1993). Impulsive stabilization of nonlinear systems.
Dilbaj Singh,S Srivastava (2013). Uniform strict stability for impulsive functional differential equations.

Download References

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

More Citation Formats

Select Citation Style:

Download Citation

GJSFR Volume 15 Issue F8

Explore Journals Explore Volume Read This Issue

Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Not Found

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

Version of record

v1.2

Issue date

October 15, 2015

Language

English

Experiance in AR

Explore published articles in an immersive Augmented Reality environment. Our platform converts research papers into interactive 3D books, allowing readers to view and interact with content using AR and VR compatible devices.

View in VR

Read in 3D

Your published article is automatically converted into a realistic 3D book. Flip through pages and read research papers in a more engaging and interactive format.

View in 3D

Article Matrices

Total Score: 147

Country: India

Subject: Global Journal of Science Frontier Research

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

View Count (all-time): 309

Total Views (Real + Logic): 1857

Total Downloads (simulated): 78

Publish Date: 2015 10, Thu

Monthly Totals (Real + Logic):

Month 1: 65 views
Month 2: 48 views
Month 3: 53 views
Month 4: 31 views
Month 5: 52 views
Month 6: 56 views
Month 7: 42 views
Month 8: 37 views
Month 9: 45 views
Month 10: 39 views
Month 11: 36 views
Month 12: 39 views
Month 13: 35 views
Month 14: 35 views
Month 15: 25 views
Month 16: 40 views
Month 17: 35 views
Month 18: 40 views
Month 19: 33 views
Month 20: 30 views
Month 21: 21 views
Month 22: 46 views
Month 23: 30 views
Month 24: 35 views
Month 25: 38 views
Month 26: 38 views
Month 27: 43 views
Month 28: 48 views
Month 29: 24 views
Month 30: 23 views
Month 31: 50 views
Month 32: 32 views
Month 33: 35 views
Month 34: 21 views
Month 35: 25 views
Month 36: 17 views
Month 37: 28 views
Month 38: 23 views
Month 39: 26 views
Month 40: 39 views
Month 41: 25 views
Month 42: 29 views
Month 43: 23 views
Month 44: 19 views
Month 45: 41 views
Month 46: 29 views
Month 47: 18 views
Month 48: 39 views
Month 49: 33 views
Month 50: 42 views
Month 51: 19 views
Month 52: 20 views
Month 53: 29 views
Month 54: 32 views
Month 55: 30 views
Month 56: 36 views
Month 57: 34 views
Month 58: 39 views
Month 59: 38 views
Month 60: 29 views
Month 61: 34 views
Month 62: 44 views
Month 63: 35 views
Month 64: 26 views
Month 65: 50 views
Month 66: 25 views
Month 67: 21 views
Month 68: 27 views
Month 69: 34 views
Month 70: 17 views
Month 71: 32 views
Month 72: 26 views
Month 73: 23 views
Month 74: 37 views
Month 75: 37 views
Month 76: 11 views
Month 77: 26 views
Month 78: 26 views
Month 79: 19 views
Month 80: 23 views
Month 81: 37 views
Month 82: 41 views
Month 83: 25 views
Month 84: 17 views
Month 85: 19 views
Month 86: 44 views
Month 87: 16 views
Month 88: 26 views
Month 89: 35 views
Month 90: 42 views
Month 91: 42 views
Month 92: 35 views
Month 93: 37 views
Month 94: 21 views
Month 95: 23 views
Month 96: 26 views
Month 97: 40 views
Month 98: 43 views
Month 99: 24 views
Month 100: 27 views
Month 101: 15 views
Month 102: 38 views
Month 103: 45 views
Month 104: 31 views
Month 105: 24 views
Month 106: 30 views
Month 107: 16 views
Month 108: 18 views
Month 109: 46 views
Month 110: 22 views
Month 111: 41 views
Month 112: 34 views
Month 113: 15 views
Month 114: 37 views
Month 115: 23 views
Month 116: 28 views
Month 117: 40 views
Month 118: 41 views
Month 119: 21 views
Month 120: 42 views
Month 121: 19 views
Month 122: 33 views
Month 123: 49 views
Month 124: 33 views
Month 125: 66 views
Month 126: 43 views
Month 127: 47 views
Month 128: 43 views
Month 129: 28 views
Month 130: 50 views
Month 131: 39 views
Month 132: 23 views

Total Views: 1.9K

Total Downloads: 78

All Trends