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Existence outcomes and optimal control of non-autonomous second order integrodifferential system with impulsive effects via resolvent operator in Banach spacesopen access
- Authors
- Johnson, M.; Vijayakumar, V.; Kwon, Kiwoon
- Issue Date
- Dec-2025
- Publisher
- Korean Society for Informatics and Computational Applied Mathematics
- Keywords
- Optimal control; Mild solutions; Non-autonomous systems; Resolvent operator; Fixed point technique
- Citation
- Journal of Applied Mathematics and Computing, v.71, no.6, pp 7959 - 7982
- Pages
- 24
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Applied Mathematics and Computing
- Volume
- 71
- Number
- 6
- Start Page
- 7959
- End Page
- 7982
- ISSN
- 1598-5865
1865-2085
- Abstract
- We consider the optimal control of a non-autonomous second order integrodifferential equation involving impulses in Banach spaces, formulated via the resolvent operator. This study centers on establishing the existence of mild solution for the control system by applying the properties of the resolvent operator associated with the non-autonomous second order integrodifferential system, along with a fixed point technique. Subsequently, we establish the existence of optimal control. To illustrate the results, we present a non-autonomous partial integrodifferential control system of second order with impulses.
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Collections - College of Natural Science > Department of Mathematics > 1. Journal Articles
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Related Researcher
- Kwon, Ki Woon
- College of Natural Science (Department of Mathematics)