Existence, uniqueness and stability results of random impulsive semilinear differential systems

✍ Scribed by A. Anguraj; A. Vinodkumar

• Publisher: Elsevier
• Year: 2010
• Tongue: English
• Weight: 298 KB
• Volume: 4
• Category: Article
• ISSN: 1751-570X
• DOI: 10.1016/j.nahs.2009.11.004

✦ Synopsis

In this paper, we consider semilinear differential systems with random impulses. We study the existence and uniqueness of the solutions by relaxing the linear growth conditions, sufficient conditions for stability through continuous dependence on initial conditions and the exponential stability of this system have been established.