Research Article

Stability Properties for the Delay Integro-Differential Equation

Volume: 36 Number: 2 June 1, 2023
EN

Stability Properties for the Delay Integro-Differential Equation

Abstract

In this paper stability inequalities for the linear nonhomogeneous Volterra delay integro-differential equation (VDIDE) is being established. The particular problems are encountered to show the applicability of the method and to confirm the predicted theoretical analysis.

Keywords

References

  1. [1] Arino, O., Hbid, M.L., Dads, E. A., “Delay Differential Equations and Applications”, Springer, (2002).
  2. [2] Bellen, A., Zennaro, M., “Numerical Methods for Delay Differential Equations”, Oxford: Oxford University Press, (2003).
  3. [3] Driver, R. D., “Ordinary and Delay Differential Equation”, Springer, (1977).
  4. [4] Yapman, Ö., Amiraliyev, G. M., Amirali, I., “Convergence Analysis of Fitted Numerical Method for a Singularly Perturbed Nonlinear Volterra Integro-Differential Equation with Delay”, Journal of Computational and Applied Mathematics, 355: 301-309, (2019).
  5. [5] Dix, L. G., “Asymptotic Behavior of Solutions to a First-Order Differential Equation with Variable Delays”, Computers and Mathematics with Applications, 50: 1791-1800, (2005).
  6. [6] Amirali, I., Cati, S., Amiraliyev, G. M., “Stability Inequalities for the Delay Pseudo-Parabolic Equations’’, International Journal of Applied Mathematics, 32(2): 289-294, (2019).
  7. [7] Bellour, A., Bousselsal, M., “Numerical Solution of Delay Integro-Differential Equations by Using Taylor Collocation Method”, Mathematical Methods in Applied Science, 37: 1491-1506, (2013).
  8. [8] Zhang, C., Niu, Y., “The Stability Relation Between Ordinary and Delay-Integro-Differential Equations”, Mathematical and Computer Modelling, Issues, 12, 49: 13-19, (2009).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

June 1, 2023

Submission Date

August 30, 2021

Acceptance Date

March 26, 2022

Published in Issue

Year 2023 Volume: 36 Number: 2

APA
Amirali, İ. (2023). Stability Properties for the Delay Integro-Differential Equation. Gazi University Journal of Science, 36(2), 862-868. https://doi.org/10.35378/gujs.988728
AMA
1.Amirali İ. Stability Properties for the Delay Integro-Differential Equation. Gazi University Journal of Science. 2023;36(2):862-868. doi:10.35378/gujs.988728
Chicago
Amirali, İlhame. 2023. “Stability Properties for the Delay Integro-Differential Equation”. Gazi University Journal of Science 36 (2): 862-68. https://doi.org/10.35378/gujs.988728.
EndNote
Amirali İ (June 1, 2023) Stability Properties for the Delay Integro-Differential Equation. Gazi University Journal of Science 36 2 862–868.
IEEE
[1]İ. Amirali, “Stability Properties for the Delay Integro-Differential Equation”, Gazi University Journal of Science, vol. 36, no. 2, pp. 862–868, June 2023, doi: 10.35378/gujs.988728.
ISNAD
Amirali, İlhame. “Stability Properties for the Delay Integro-Differential Equation”. Gazi University Journal of Science 36/2 (June 1, 2023): 862-868. https://doi.org/10.35378/gujs.988728.
JAMA
1.Amirali İ. Stability Properties for the Delay Integro-Differential Equation. Gazi University Journal of Science. 2023;36:862–868.
MLA
Amirali, İlhame. “Stability Properties for the Delay Integro-Differential Equation”. Gazi University Journal of Science, vol. 36, no. 2, June 2023, pp. 862-8, doi:10.35378/gujs.988728.
Vancouver
1.İlhame Amirali. Stability Properties for the Delay Integro-Differential Equation. Gazi University Journal of Science. 2023 Jun. 1;36(2):862-8. doi:10.35378/gujs.988728

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