论文信息 - Almost automorphic solutions for nonautonomous stochastic differential equations

Almost automorphic solutions for nonautonomous stochastic differential equations

Abstract In this paper, the concept of distributional almost automorphy for stochastic processes is introduced. Under some dissipative conditions, we obtain the existence and uniqueness of distributionally almost automorphic solutions to nonautonomous stochastic equations on any real separable Hilbert space.

Miaomiao Fu

[1] G. Prato,et al. Periodic and almost periodic solutions for semilinear stochastic equations , 1995 .

[2] W. Veech,et al. Almost Automorphic Functions on Groups , 1965 .

[3] Zhenxin Liu,et al. Square-mean almost automorphic solutions for some stochastic differential equations , 2010, 1001.3049.

[4] J. Zabczyk,et al. Invariant measures for semilinear stochastic equations , 1992 .

[5] Almost periodic solutions of affine ito equations , 1989 .

[6] C. Tudor. Almost periodic solutions of affine stochastic evolution equations , 1992 .

[7] Gaston M. N’Guérékata,et al. Almost Automorphic and Almost Periodic Functions in Abstract Spaces , 2001 .

[8] L. Arnold,et al. Stationary and almost periodic solutions of almost periodic affine stochastic differential equations , 1998 .

[9] Yingfei Yi,et al. Almost Automorphic and Almost Periodic Dynamics in Skew-Product Semiflows , 1998 .

[10] Russell Johnson. A linear, almost periodic equation with an almost automorphic solution , 1981 .

[11] Toka Diagana,et al. Existence of almost periodic solutions to some stochastic differential equations , 2007 .