Nonlocal controllability of mild solutions for neutral evolution equations with state-dependent delay in Fréchet spaces

In this paper, we prove the controllability of mild solutions of neutral functional evolution equations with state-dependent delay and nonlocal conditions. We establish the non local controllability of mild solutions under certain conditions by combining Avramescu’s nonlinear alternative for the sum of compact and contraction operators in Fréchet spaces with semigroup theory.

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This paper was supported by General Directorate for Scientific Research and Technological Development (DGRSDT), University-Training Research Projects: C00L03UN220120210002 PRFU 2021 project.