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Journal of Dynamical and Control Systems
Erschienen in: Journal of Dynamical and Control Systems 1/2019

02.03.2018

Pseudo Almost Periodic Solutions to Impulsive Non-autonomous Stochastic Differential Equations with Unbounded Delay and its Optimal Control

verfasst von: Zuomao Yan, Fangxia Lu

Erschienen in: Journal of Dynamical and Control Systems | Ausgabe 1/2019

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Abstract

This paper is concerned with the pseudo almost periodic in distribution mild solutions for impulsive non-autonomous stochastic differential equations with unbounded delay and optimal controls in Hilbert spaces. Firstly, a suitable pseudo almost periodic in distribution mild solutions is introduced. The existence of pseudo almost periodic in distribution mild solutions are proved by means of a fixed-point theorem for condensing maps combined with stochastic analysis theory and evolution family. Secondly, the existence of optimal pairs of system governed by impulsive non-autonomous stochastic differential equations is also presented. Finally, an example is given for demonstration.
Vorheriger Artikel Necessary First- and Second-Order Optimality Conditions in Discrete Systems with a Delay in Control
Nächster Artikel Existence and Multiplicity of Standing Wave Solutions for a Class of Quasilinear Schrödinger Systems in

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Metadaten
Titel
Pseudo Almost Periodic Solutions to Impulsive Non-autonomous Stochastic Differential Equations with Unbounded Delay and its Optimal Control
verfasst von
Zuomao Yan
Fangxia Lu
Publikationsdatum
02.03.2018
Verlag
Springer US
Erschienen in
Journal of Dynamical and Control Systems / Ausgabe 1/2019
Print ISSN: 1079-2724
Elektronische ISSN: 1573-8698
DOI
https://doi.org/10.1007/s10883-018-9397-8

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