Research Article

Stability in Retarded Functional Equations

Volume: 10 Number: 1 April 15, 2022
EN

Stability in Retarded Functional Equations

Abstract

This article deals with the stability behavior of a scalar linear retarded equation. Useful exponential estimations and stability criteria of the solutions were established. Finally, two examples are given for the stability of the zero solution of the retarded equation.

Keywords

References

  1. [1] J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional Differential Equations, Springer, Berlin, Heidelberg, New York, 1993.
  2. [2] J.M. Ferreira, Oscillations and Nonoscillations in Retarded Equations, Portugaliae Mathematica, 58, (2001), 127-138.
  3. [3] J.M. Ferreira and S. Pinelas, Oscillatory retarded functional systems, J. Math. Anal. Appl., 285, (2003), 506-527.
  4. [4] J.M. Ferreira and S. Pinelas, Nonoscillations in retarded systems, J. Math. Anal. Appl., 308, (2005), 714-729.
  5. [5] S. Pinelas, Nonoscillations in retarded equations, in: Proc. Int. Conf. Dynamical Systems and Applications, July 5-10, 2004, Antalya, Turkey, submitted for publication.
  6. [6] T.A. Burton, Volterra Integral and Differential Equations, Academic Press, New York, 1983.
  7. [7] C. Corduneanu, Integral Equations and Applications, Cambridge University Press, New York, 1991).
  8. [8] V. Kolmanovski, A. Myshkis, Applied Theory of Functional Differential Equations, Kluver Academic, Dordrecht, 1992.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 15, 2022

Submission Date

June 19, 2020

Acceptance Date

March 22, 2022

Published in Issue

Year 2022 Volume: 10 Number: 1

APA
Yazıcı, C., & Yeniçerioğlu, A. F. (2022). Stability in Retarded Functional Equations. Konuralp Journal of Mathematics, 10(1), 108-111. https://izlik.org/JA66UC63LP
AMA
1.Yazıcı C, Yeniçerioğlu AF. Stability in Retarded Functional Equations. Konuralp J. Math. 2022;10(1):108-111. https://izlik.org/JA66UC63LP
Chicago
Yazıcı, Cüneyt, and Ali Fuat Yeniçerioğlu. 2022. “Stability in Retarded Functional Equations”. Konuralp Journal of Mathematics 10 (1): 108-11. https://izlik.org/JA66UC63LP.
EndNote
Yazıcı C, Yeniçerioğlu AF (April 1, 2022) Stability in Retarded Functional Equations. Konuralp Journal of Mathematics 10 1 108–111.
IEEE
[1]C. Yazıcı and A. F. Yeniçerioğlu, “Stability in Retarded Functional Equations”, Konuralp J. Math., vol. 10, no. 1, pp. 108–111, Apr. 2022, [Online]. Available: https://izlik.org/JA66UC63LP
ISNAD
Yazıcı, Cüneyt - Yeniçerioğlu, Ali Fuat. “Stability in Retarded Functional Equations”. Konuralp Journal of Mathematics 10/1 (April 1, 2022): 108-111. https://izlik.org/JA66UC63LP.
JAMA
1.Yazıcı C, Yeniçerioğlu AF. Stability in Retarded Functional Equations. Konuralp J. Math. 2022;10:108–111.
MLA
Yazıcı, Cüneyt, and Ali Fuat Yeniçerioğlu. “Stability in Retarded Functional Equations”. Konuralp Journal of Mathematics, vol. 10, no. 1, Apr. 2022, pp. 108-11, https://izlik.org/JA66UC63LP.
Vancouver
1.Cüneyt Yazıcı, Ali Fuat Yeniçerioğlu. Stability in Retarded Functional Equations. Konuralp J. Math. [Internet]. 2022 Apr. 1;10(1):108-11. Available from: https://izlik.org/JA66UC63LP
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