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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 2 | Year 2014 | Article Id. IJMTT-V9P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P516

Asymptotic Behavior of Solutions for Forced Non Linear Delay Impulsive Differential Equations


Y. Balachandran , G. Purushothaman
Abstract

We establish new sufficient conditions for asymptotic behavior of the solutions of non linear forced neutral delay differential equations with constant impulsive jumps. Our results improve and generalize some known results in the literature.

Keywords
Impulsive neutral delay differential equation, forced term, asymptotic behavior.
References

[1] D.D. Bainov, P.S. Simeonov, Impulsive differential equations, Periodic solutions and applications, Longman, Harlow, 1993.
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[3] J.S. Yu and B.G. Zhang, “Stability theorem for delay differential equations with impulses,” J. Math. Anal. Appl., vol. 199, pp. 162-175, 1996.
[4] J. Luo, “Asymptotic behavior of solutions of forced non linear neutral differential equations,” Ann. of Diff. Eqs., vol. 15, pp. 25-32, 1999.
[5] A.M. Zhao, J.R. Yan, “Asymptotic behavior of solutions of impulsive delay differential equations,” J. Math. Anal. Appl., vol. 201, pp. 943-954, 1996.
[6] J.W. Luo and J.H. Shen, “Asymptotic behavior of forced non linear delay differential equations with impulses,” Acta Mathematica Sinica, English Series, vol. 16, no. 4, pp. 565-572, 2000.
[7] J. Yan, “Asymptotic behavior of solutions of forced non linear delay differential equations,” Publ. Math. Debrecen, vol. 45, pp. 283-291, 1994.
[8] X. Liu and J.H. Shen, “Asymptotic behavior of solutions of impulsive neutral differential equations,” Applied Mathematics Letters, vol. 12, pp. 51-58, 1999.
[9] F. Jiang and J. Shen, “Asymptotic behavior of solutions for a non linear differential equation with constant impulsive jumps,” Acta. Math. Hungar., vol. 138, pp. 1-14, 2013.
[10] V. Lakshmikantham, D.D. Bainov and P.S. Simeonov, Theory of impulsive differential equations, World Scientific, Singapore, 1989.

Citation :

Y. Balachandran , G. Purushothaman, "Asymptotic Behavior of Solutions for Forced Non Linear Delay Impulsive Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 2, pp. 145-147, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P516

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