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On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random
  
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KeyWord:Existence, continuous dependence, random impulsive, integro differential equations, Krasnoselskii's-Schaefer type fixed point theorem
Author NameAffiliation
Sahar M. A. Maqbol School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India 
R. S. Jain School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India 
B. S. Reddy School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India 
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Abstract:
      In this work, we discuss the existence and continuous dependence on initial data of solutions for non-local random impulsive neutral stochastic integrodifferential delayed equations. First, we prove the existence of mild solutions to the equations by using Krasnoselskii's-Schaefer type fixed point theorem. Next, we prove the continuous dependence on initial data results under the Lipschitz condition on a bounded and closed interval. Finally, we propose an example to validate the obtained results.