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Journals / Mathematical and Computational Applications / 2007 / Cilt: 12 - Sayı: 1

On the stability of delay integro-differential equations

ALİ FUAT YENİÇERİOĞLU
Salih YANÇINBAŞ
Pages
51–58
DOI
—
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⚡ TL;DR(Too Long; Didn't Read)

As a consequence of this theorem, a stability criterion is obtained.

📌 3 Key Takeaways

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Objective & Hypothesis:Some new stability results are given for a delay integro-differential equation.
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Key Findings & Data:A basis theorem on the behavior of solutions of delay integro-differential equations is established.
💡
Conclusion & Impact:As a consequence of this theorem, a stability criterion is obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Some new stability results are given for a delay integro-differential equation. A basis theorem on the behavior of solutions of delay integro-differential equations is established. As a consequence of this theorem, a stability criterion is obtained.

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Cite This Article

YENİÇERİOĞLU, A. F., YANÇINBAŞ, S. (2007). On the stability of delay integro-differential equations. Mathematical and Computational Applications, Cilt: 12 - Sayı: 1, 51–58. https://ajindex.com/articles/279989

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References (10)

  1. T.A. Burton, Volterra Integral and Differential Equations, Academic Press, New York, 1983
  2. C. Corduneanu, Integral Equations and Applications, Cambridge University Press,New York, 1991
  3. K. Gopalsamy, Stability ad decay rates in a class of linear integro-differential systems, Funkcial. Ekvac. 26, 251-261, 1983
  4. J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations,Springer, Berlin, Heidelberg, New York, 1993
  5. V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations,Kluver Academic, Dordrecht, 1992
  6. I.-G.E. Kordonis and Ch.G. Philos, The Behavior of solutions of linear integro-Differential equations with unbounded delay, Comp. and Math. with Appl. 38, 45-50,1999
  7. T. Koto, Stability of Runge-Kutta methods for delay integro-differential equations, J.Of Comp. and Appl. Math. 145, 483-492, 2002
  8. Y. Kuang, Delay Differential Equations with Applications in Population Dynamics,Academic Press, San Diego, 1993
  9. Ch.G. Philos and I.K. Purnaras, Periodic first order linear neutral delay differential equatiıons, Appl. Math. and Comp. 117, 203-222, 2001
  10. V. Volterra, Sur la theorie mathematique des phenoménes hereditaires, J. Math.Pures Appl. 7(9), 249-298, 1928.