Existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays

نویسندگان
Anguraj, Annamalai ID 1
Ravikumar, Kasinathan ID 2
Ramkumar, Kasinathan ID 3

1 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.

2 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.

3 Department of Mathematics, PSG College of Arts and Science, Coimbatore, 641 014, India.

doi
10.22034/cmde.2020.32591.1512
چکیده

In this article, we study the existence and Hyers-Ulam stability of random impulsive stochastic functional integrodifferential equations with finite delays. Firstly, we prove the existence of mild solutions to the equations by using Banach fixed point theorem. In the later case we explore the Hyers Ulam stability results under the Lipschitz condition on a bounded and closed interval. 

کلیدواژه‌ها
existence, Random impulsive, Hyers-Ulam stability, Integrodifferential equations