Existence, Uniqueness and Stability Results of Impulsive Stochastic Semilinear Neutral Functional Differential Equations with Infinite Delays

By A. Dinesh Kumar Anguraj, A. Vinodkumar. 2009

53 citations recorded by the source corpus.

This article presents the results on existence, uniqueness and stability of mild solutions of impulsive stochastic semilinear neutral functional differential equations without a Lipschitz condition and with a Lipschitz condition. The results are obtained by using the method of successive approximations. 2000 Mathematical Subject Classification: 93E15,60H15,35R12.

Subfields: Applied Mathematics, Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/df029c7f16b3b301132a1a2b5d0e17a5b613279f

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In Applied Mathematics

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Citations in the corpus

• ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY (2013, background): “1 2 Z. YAN, H. ZHANG EJDE-2013/206 stability and exponential stability of second-order stochastic evolution equations in Hilbert spaces.”