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DOI: 10.23952/cot.2018.21
Received June 11, 2018; Accepted November 2, 2018; Published November 25, 2018
Abstract. This paper concerns the study of the solvability and optimal control of some partial functional integrodifferential equations with infinite delay in Banach spaces. We assume that the undelayed part admits a resolvent operator in the sense of Grimmer. We investigate the existence of mild solutions and prove the existence of optimal controls for the integrodifferential equation. An example is also provided to support our results.
How to Cite this Article:
Khalil Ezzinbi, Patrice Ndambomve, On the solvability and optimal control of some partial functional integrodifferential equations with infinite delay in Banach spaces, Communications in Optimization Theory, Vol. 2018 (2018), Article ID 21, pp. 1-18.