ALMOST AUTOMORPHIC SOLUTIONS OF DELAYED NEUTRAL DYNAMIC SYSTEMS ON HYBRID DOMAINS

We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We use exponential dichotomy and prove the uniqueness of projector of exponential dichotomy to obtain some limit results leading to sufficient conditions for e...

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Bibliographic Details
Published in:Applicable analysis and discrete mathematics 2016-04, Vol.10 (1), p.128-151
Main Authors: Adıvar, Murat, Koyuncuoğlu, Halis Can, Raffoul, Youssef N.
Format: Article
Language:English
Subjects:
Banach space
Continuous functions
Evolutionary theories
Mathematical functions
Periodic functions
Periodicity
Property lines
Semigroups
Uniqueness
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Summary:We study the existence of almost automorphic solutions of the delayed neutral dynamic system on hybrid domains that are additively periodic. We use exponential dichotomy and prove the uniqueness of projector of exponential dichotomy to obtain some limit results leading to sufficient conditions for existence of almost automorphic solutions to neutral system. Unlike the existing literature we prove our existence results without assuming boundedness of the coefficient matrices in the system. Hence, we significantly improve the results in the existing literature. Finally, we also provide an existence result for almost periodic solutions of the system.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM160402006A