Research Article

Stability in first order delay integro-differential equations

Volume: 22 Number: 2 April 10, 2020
EN TR

Stability in first order delay integro-differential equations

Abstract

In this study, some results are given concerning the behavior of the solutions for linear delay integro-differential equations. These results are obtained by the use of two distinct real roots of the corresponding characteristic equation.

Keywords

References

  1. Appleby, J.A.D. and Reynolds, D.W., On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro – differential equations, Journal of Integral Equations and Applications, 14, 2, (2002).
  2. Funakubo, M., Hara, T. and Sakata, S., On the uniform asymptotic stability for a linear integro-differential equation of Volterra type, Journal of Mathematical Analysis and Applications, 324, 1036–1049, (2006).
  3. Gopalsamy, K., Stability and decay rates in a class of linear integro-differential systems, Funkcialaj Ekvacioj, 26, 251-261, (1983).
  4. Kordonis, I.-G.E. and Philos, Ch.G., The behavior of solutions of linear integro- differential equations with unbounded delay, Computers & Mathematics with Applications, 38, 45-50, (1999).
  5. Koto, T., Stability of Runge - Kutta methods for delay integro – differential equations, Journal of Computational and Applied Mathematics, 145, 483-492, (2002).
  6. Volterra, V., Sur la théorie mathématique des phénoménes héréditaires, Journal de Mathématiques Pures et Appliquées, 7(9), 249-298, (1928).
  7. Philos, Ch.G. and Purnaras, I.K., Asymptoti properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations, Electronic Journal of Differential Equations, 2004, 03, 1-17, (2004).
  8. Philos, Ch. G. and Purnaras, I. K., A result on the behavior of the solutions for scalar first order linear autonomous neutral delay differential equations, Mathematical Proceedings of the Cambridge Philosophical Society, 140, 349-358, (2006).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

April 10, 2020

Submission Date

January 15, 2020

Acceptance Date

May 16, 2020

Published in Issue

Year 2020 Volume: 22 Number: 2

APA
Yeniçerioğlu, A. F., & Yazıcı, C. (2020). Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 660-668. https://doi.org/10.25092/baunfbed.744661
AMA
1.Yeniçerioğlu AF, Yazıcı C. Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22(2):660-668. doi:10.25092/baunfbed.744661
Chicago
Yeniçerioğlu, Ali Fuat, and Cüneyt Yazıcı. 2020. “Stability in First Order Delay Integro-Differential Equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2): 660-68. https://doi.org/10.25092/baunfbed.744661.
EndNote
Yeniçerioğlu AF, Yazıcı C (April 1, 2020) Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 660–668.
IEEE
[1]A. F. Yeniçerioğlu and C. Yazıcı, “Stability in first order delay integro-differential equations”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 2, pp. 660–668, Apr. 2020, doi: 10.25092/baunfbed.744661.
ISNAD
Yeniçerioğlu, Ali Fuat - Yazıcı, Cüneyt. “Stability in First Order Delay Integro-Differential Equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (April 1, 2020): 660-668. https://doi.org/10.25092/baunfbed.744661.
JAMA
1.Yeniçerioğlu AF, Yazıcı C. Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020;22:660–668.
MLA
Yeniçerioğlu, Ali Fuat, and Cüneyt Yazıcı. “Stability in First Order Delay Integro-Differential Equations”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 2, Apr. 2020, pp. 660-8, doi:10.25092/baunfbed.744661.
Vancouver
1.Ali Fuat Yeniçerioğlu, Cüneyt Yazıcı. Stability in first order delay integro-differential equations. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2020 Apr. 1;22(2):660-8. doi:10.25092/baunfbed.744661