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 University, Mukalla, Yemen

Keywords:

First order, Ordinary differential equation, Nonlocal condition, Stability

Abstract

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

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Published

2023-11-22

Issue

Vol. 18 No. 1 (2021): Volume 18, Issue 1, June 2021

Section

Articles