Stability of Solutions for a Class of Second Order Nonlinear Integro-Differential Equations with Delay
1 Department of Mathematics, Federal University of Agriculture, Abeokuta, Nigeria
2 Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005, Nigeria
3 Department of Mathematics, Lagos State University, Ojo, Nigeria
* Corresponding author: danielogic2008@yahoo.com
2 Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005, Nigeria
3 Department of Mathematics, Lagos State University, Ojo, Nigeria
* Corresponding author: danielogic2008@yahoo.com
Abstract
In this paper, we investigate the stability of solutions for
a class of second order nonlinear delay integro-differential
equations by using a suitable Lyapunov-Krasovskiˇi functional
with sufficient conditions to establish some new results. An
example is given to show the validity of the results obtained.
Keywords
Stability; Lyapunov-Krasovskiˇi functional; integro-differential equations of second order; Nonlinear
How to Cite
Adams, D. O., ADETONA, R. A., Raji, M. T., Oni, S. A., & Olutimo, A. L. (2022). Stability of Solutions for a Class of Second Order Nonlinear Integro-Differential Equations with Delay. Nigerian Journal of Mathematics and Applications, 32(1), 80-89. https://doi.org/10.67897/njma.2022.hfxgvhz7
D. O. Adams, R. A. ADETONA, M. T. Raji, S. A. Oni, and A. L. Olutimo, "Stability of Solutions for a Class of Second Order Nonlinear Integro-Differential Equations with Delay," Nigerian Journal of Mathematics and Applications, vol. 32, no. 1, pp. 80-89, June 2022. doi: 10.67897/njma.2022.hfxgvhz7