Research Article
Controllability and Asymptotically Almost Periodic Result of Nonlinear Neutral Integrodifferential Evolution System
@INPROCEEDINGS{10.4108/eai.7-12-2021.2314626, author={Radhakrishnan B and Sathya T}, title={Controllability and Asymptotically Almost Periodic Result of Nonlinear Neutral Integrodifferential Evolution System}, proceedings={Proceedings of the First International Conference on Combinatorial and Optimization, ICCAP 2021, December 7-8 2021, Chennai, India}, publisher={EAI}, proceedings_a={ICCAP}, year={2021}, month={12}, keywords={controllability neutral integrodifferential equation delay differential equation asymptotically almost automorphic 2010 ams subject classification: 93b05 47d06 34k40}, doi={10.4108/eai.7-12-2021.2314626} }- Radhakrishnan B
Sathya T
Year: 2021
Controllability and Asymptotically Almost Periodic Result of Nonlinear Neutral Integrodifferential Evolution System
ICCAP
EAI
DOI: 10.4108/eai.7-12-2021.2314626
Abstract
This paper deals the existence of periodicity solutions for neutral integrodifferential evolution equation in Banach space. The results are obtained by using resolvent operators and a fixed point technique. The analysis begins with the almost periodic solution for the evolution equation. Further, the almost periodic solution of the integrodifferential evolution equation has been shown to be asymptotically almost periodic. Then controllability result has been shown to the same system.
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