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Existence, uniqueness and approximate controllability of abstract differential equations with state-dependent delay

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Abstract We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results… Click to show full abstract

Abstract We study the approximate controllability of a general class of first order abstract control differential problems with state-dependent delay. To this end, we establish and prove several new results on local and global existence and uniqueness of mild and strict solutions for abstract differential equations with state-dependent delay. In the last section, some examples are presented.

Keywords: approximate controllability; dependent delay; state dependent; differential equations

Journal Title: Journal of Differential Equations
Year Published: 2020

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