Kodai Mathematical Journal

Almost automorphic solutions of semilinear stochastic hyperbolic differential equations in intermediate space

Zhinan Xia

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper, we investigate the existence, uniqueness of almost automorphic in one-dimensional distribution mild solution for semilinear stochastic differential equations driven by Lévy noise. The semigroup theory, fixed point theorem and stochastic analysis technique are the main tools in carrying out proof. Finally, we give one example to illustrate the main findings.

Note

This research is supported by the National Natural Science Foundation of China (Grant No 11501507).

Article information

Source
Kodai Math. J., Volume 40, Number 3 (2017), 492-517.

Dates
Received: 1 March 2016
Revised: 27 December 2016
First available in Project Euclid: 31 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1509415229

Digital Object Identifier
doi:10.2996/kmj/1509415229

Mathematical Reviews number (MathSciNet)
MR3718494

Zentralblatt MATH identifier
06827100

Subjects
Primary: 60H10: Stochastic ordinary differential equations [See also 34F05] 43A60: Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions

Keywords
almost automorphy in one-dimensional distribution Poisson square-mean almost automorphy Lévy process hyperbolic semigroup intermediate space

Citation

Xia, Zhinan. Almost automorphic solutions of semilinear stochastic hyperbolic differential equations in intermediate space. Kodai Math. J. 40 (2017), no. 3, 492--517. doi:10.2996/kmj/1509415229. https://projecteuclid.org/euclid.kmj/1509415229


Export citation