On the Stability of First Order Ordinary Differential Equation with a Nonlocal Condition

Authors

Ebtisam Omer Bin-Taher, Department of Mathematics, College of Science, Hadhramout UniversityFollow

Abstract

In this paper we study the existence and uniqueness of solution for the first order differential equation,𝑑𝑥𝑑𝑡 + 𝑓(𝑡,𝑥(𝑡))=0,𝑡∈[0,𝑇] with the nonlocal condition 𝑥(1)+ 𝐼𝛾 𝑥(𝑡)|𝑡=𝑡𝑜=𝑥𝑜 ., then we prove that the solution is uniformly stable

Recommended Citation

Bin-Taher, Ebtisam Omer (2021) "On the Stability of First Order Ordinary Differential Equation with a Nonlocal Condition," Hadhramout University Journal of Natural & Applied Sciences: Vol. 18: Iss. 1, Article 4.
Available at: https://digitalcommons.aaru.edu.jo/huj_nas/vol18/iss1/4