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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Wellposedness Results of Second-Order Neutral Stochastic Differential Equations With Random Impulses

Journal of Applied Nonlinear Dynamics 13(4) (2024) 723--734 | DOI:10.5890/JAND.2024.12.008

K. Ramkumar, S. Varshini, K. Banupriya, K. Ravikumar

Department of Mathematics, PSG College of Arts & Science Coimbatore - 641 014, India

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Abstract

The objective of this paper is to investigate the existence and stability results of second-order neutral stochastic functional differential equations with random impulses in Hilbert space. Initially, we establish the existence results of mild solutions of the aforementioned system using Banach Contraction Principle. The results are formulated using stochastic analysis techniques. In the later part we investigate the stability results through continuous dependence of solutions on initial conditions.

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