Full Text: PDF
Abstract
In this work, we study of the solvability and the existence of optimal controls of some partial functional integrodifferential equations with classical Cauchy initial condition in Banach spaces. We assume that the linear part admits a resolvent operator in the sense of Grimmer. Firstly, we investigate the existence and uniqueness of mild solutions. Secondly, we prove the existence of optimal controls for the integrodifferential equation. An example is also given to illustrate the main results.
How to Cite this Article:
Khalil Ezzinbi, Patrice Ndambomve, Partial functional integrodifferential equations and optimal controls in Banach spaces, Communications in Optimization Theory 2016 (2016), Article ID 1.