Approximate controllability of stochastic nonlinear third-order dispersion equation

作者：Muthukumar P^*; Rajivganthi C

来源：International Journal of Robust and Nonlinear Control, 2014, 24(3): 585-594.

DOI：10.1002/rnc.2908

• approximate controllability
• Hilbert space
• semigroup theory
• stochastic Korteweg-de Vries equation
• stochastic third-order dispersion equation

In this work, we consider a class of control systems governed by the stochastic nonlinear third-order dispersion equation in Hilbert spaces. We first prove the existence of mild solutions of stochastic nonlinear third-order dispersion equation by using fixed point theory, infinite dimensional semigroup properties, stochastic analysis techniques, and then a new set of sufficient conditions are formulated which guarantees the approximate controllability of the main problem. Finally, an example is provided to illustrate the application of the obtained results.

• 出版日期2014-2