Using Banach Fixed Point Theorem To Study The Stability Of First-Order Delay Differential Equations

Authors

  • Zaid A. A. Mahdi Monje Department of Mathematics, College of Science, University of Baghdad
  • Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad

Keywords:

Banach Fixed Point Theorem, First-Order Delay, stability, Differential Equations

Abstract

In1 this1 paper1 we1 use the Banach fixed point theorem investigate 1the stability and asymptotic1 stability1 of the zero solution for the first order retarded delay differential equation 

1(y(t)) ́=-∑_(j=1)^N▒〖b_j (t ,〖3y〗_t )3y(t)+f(t ,〖3y〗_t)〗

where the delay is constant. Also we give new conditions to ensure the stability and asymptotic stability of the zero solution of this equation.

References

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[3] Burton, T. A.; “Stability by Fixed Point Theory for Functional Differential Equations”; Dover Publ. Inc.; 2006.
[4] Erwin, K.; “Introductory Functional Analysis with Applications, University of Windsor”; 1989.
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[6] Meng, F.; Zhinan, X.; Huaiping, Z.; “Asymptotic stability of delay differential equations via fixed point theory and applications”; Canadian Appl. Math. Quart. 2010.
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[8] Ramazan, Y.; Cemil, T.; Ӧzkan, A.; “On the Global Asymptotic Stability of Solution to neutral equations of first order”; Palestine J. Mathematics, 2017.

Published

2020-03-04

Issue

Section

Articles

How to Cite

(1)
Using Banach Fixed Point Theorem To Study The Stability Of First-Order Delay Differential Equations. ANJS 2020, 23 (1), 69-72.