Almost automorphic solutions of delayed neutral dynamic systems on hybrid domains

Applicable Analysis and Discrete Mathematics

article

Murat Adivar¹  Halis Can Koyuncuoğlu¹  Youssef N. Raffoul² 

[1] Izmir University of Economics, Department of Mathematics;University of Dayton, Department of Mathematics

关键词: Almost automorphic;    exponential dichotomy;    neutral dynamic system;    time scale;    unique projection;   

DOI  :  10.2298/AADM160402006A

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We useexponential dichotomy and prove the uniqueness of projector of exponentialdichotomy to obtain some limit results leading to sufficient conditions forexistence of almost automorphic solutions to neutral system. Unlike the existing literature we prove our existence results without assuming boundednessof the coefficient matrices in the system. Hence, we significantly improve theresults in the existing literature. Finally, we also provide an existence resultfor almost periodic solutions of the system.

【 授权许可】

Unknown