On Stability, Boundedness and Integrability of Solutions of Certain Second Order Integro-Differential Equations With Delay

Authors

  • Adeyanju, Adedotun Adetunji
  • Ademola Adeleke Timothy
  • Ogundare Babatunde Sunday

Keywords:

Second order, Stability, Boundedness, Square integrability, Continuability, Lyapunov-Krasovskii functional

Abstract

In this paper, the problems of stability, boundedness and integrability of solutions of a certain class of second order integro-differential equations are considered. By using a suitable Lyapunov-Krasovskii function(al), conditions to guarantee the stability of the null solution, boundedness and integrability of solutions were established. The results of this paper compliment in one way and generalize some of the known results existing in the literature.

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Published

03.03.2022

How to Cite

Adetunji, A. A. ., Timothy, A. A. ., & Sunday, O. B. . (2022). On Stability, Boundedness and Integrability of Solutions of Certain Second Order Integro-Differential Equations With Delay. Sarajevo Journal of Mathematics, 17(1), 61–77. Retrieved from https://sjm.anubih.ba/index.php/sjm/article/view/17

Issue

Vol. 17 No. 1 (2021)

Section

Articles