Asymptotic Stability of Testable Measure Differential Equations

Benjamin Oyediran Oyelami

doi:https://doi.org/10.14445/22315373/IJMTT-V13P514

International Journal of Mathematics Trends and Technology

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Volume 13 | Number 2 | Year 2014 | Article Id. IJMTT-V13P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V13P514

Asymptotic Stability of Testable Measure Differential Equations

Benjamin Oyediran Oyelami

Abstract

In this paper, we consider sufficiency conditions for the stability of trivial solutions of measure differential equations. The bound for in the Pandit's problem is estimated in a systematic way and used to establish criteria for the stability of trivial solutions. Results on asymptotic stability for testable perturbed measure differential equations are obtained using some growth properties, Pandit inequality and Brascamp-Lieb inequality. An example is used to illustrate the application of results obtained.

Keywords

Stability, Testable system, Measure differential equations and impulses.

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Citation :

Benjamin Oyediran Oyelami, "Asymptotic Stability of Testable Measure Differential Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 13, no. 2, pp. 97-115, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V13P514