The exponential stability for stochastic delay partial differential equations

By Takeshi Taniguchi. 2007

51 citations recorded by the source corpus.

Abstract In this paper we consider by the energy equality the exponential stability of energy solutions to a non-linear stochastic functional partial differential equation with finite delay r > 0 in separable Hilbert spaces. Our method is very simple and is powerful for concrete stochastic delay partial differential equations.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Finance

View Paper: https://www.semanticscholar.org/paper/14bc3907073e786a926482d15e1c6b9abd131196

How researchers see this paper

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In Computational Theory and Mathematics

1. Jiaowan Luo
2. Hongwu Zhang
3. Zuomao Yan
4. Takeshi Taniguchi
5. Bixiang Wang

In Control and Systems Engineering

1. Zuomao Yan
2. Jiaowan Luo
3. Takeshi Taniguchi
4. Hongwu Zhang
5. Rathinasamy Sakthivel
6. Huabin Chen
7. Kai Liu

In Finance

1. Zuomao Yan
2. Hongwu Zhang
3. Jiaowan Luo
4. Takeshi Taniguchi
5. Rathinasamy Sakthivel

Citations in the corpus

• ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY (2013, background): “Taniguchi [32] discussed the exponential stability for stochastic delay differential equations by the energy inequality.”
• Fixed Points and Stability of Stochastic Neutral Partial Differential Equations with Infinite Delays (2009, background): “[ 3 ] discussed the existence and uniqueness, almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations.”
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays (2009, unknown): “The stability investigation of stochastic differential equations with delays have been discussed by several authors [5,9,12,14,15,19,22].”