YAO Hui-li, SUN Hai-tong. Square-Mean Asymptotically AlmostAutomorphic Mild Solutions to a Class of Stochastic Integro Differential Equations[J]. 2018, 23(5): 119-123.
YAO Hui-li, SUN Hai-tong. Square-Mean Asymptotically AlmostAutomorphic Mild Solutions to a Class of Stochastic Integro Differential Equations[J]. 2018, 23(5): 119-123.DOI: 10.15938/j.jhust.2018.05.020.
Abstract:Some concepts and properties of square-mean asymptotically automorphic function and stochastic process are introduced. Underlying some assumptions
C0semigroup and the Banach fixed point theorem and Cauchy Schwarz inequality are used to discuss the existence and uniqueness of Square-mean asymptotically almost automorphic mild solutions
in a real separable Hilbert space
for a class of abstract semilinear stochastic integro differential evolution equations.