Existence, uniqueness, and stability of mild solutions for second-order neutral stochastic evolution equations with infinite delay and Poisson jumps

By Yong Ren, Rathinasamy Sakthivel. 2012

108 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Finance

View Paper: https://www.semanticscholar.org/paper/82b47561c25d3e32583b815d3ab8b773e01857ea

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In Applied Mathematics

1. K. Thiagu
2. Hongwu Zhang
3. Zuomao Yan
4. P. Muthukumar

In Control and Systems Engineering

1. K. Thiagu
2. Hongwu Zhang
3. Zuomao Yan
4. P. Muthukumar

In Finance

1. K. Thiagu
2. Hongwu Zhang
3. Zuomao Yan
4. P. Muthukumar

Citations in the corpus

• Existence of Solutions and Approximate Controllability of Fractional Nonlocal Neutral Impulsive Stochastic Differential Equations of Order 1 < q < 2 with Infinite Delay and Poisson Jumps (2015, background): “Furthermore, it is important to note that event-driven dynamics become very useful in most fields of application and lead to stochastic differential equations with jumps [9, 23, 24, 34].”
• ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY (2013, methodology): “The author [17] considered the exponential stability for stochastic partial functional differential equations by means of the Razuminkhin-type theorem.”
• Stochastic delay fractional evolution equations driven by fractional Brownian motion (2014, unknown): “[20], Ren and Sakthivel [24].”