Null Controllability of Nonlinear Mixed Integro-differential Systems
Celestin A. Nse, Faket K. Nama, Richard Oguara
Asian Research Journal of Mathematics · pp. 77–83 · Published 11 Apr 2023
10.9734/arjom/2023/v19i6667Abstract
The present paper investigates the existence of mild solutions and provides sufficient conditions for the null controllability of nonlinear mixed integrodifferential systems with unbounded linear operators in Banach spaces. It is observed that, if the linear system is controllable, then the nonlinear equivalence is also controllable by subjecting certain smooth conditions on the perturbation function. The results are obtained using semi group of linear operators, fractional powers of operators and the Schauder fixed point theorem.
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