Approximate Controllability of Neutral Measure Evolution Equations with Nonlocal Conditions

Abstract

In this paper, we consider a kind of neutral measure evolution equations with nonlocal conditions. By using semigroup theory and fixed point theorem, we can obtain sufficient conditions for the controllability results of such equations. Finally, an example is given to verify the reliability of the results.

Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition

“…A frequently used method for solving the controllability problem is to transform it into a fixed point problem for an appropriate operator in a function space. Existence and control problems for various types of measure differential systems have been studied by many authors in [2,3,4,7,14,25,34,38,42]. For example, Gou and Li [7] investigated the controllability of semi-linear MEDs by applying Schauder's fixed point theorem.…”

“…For example, Gou and Li [7] investigated the controllability of semi-linear MEDs by applying Schauder's fixed point theorem. In [25], Ma and Gu discussed the approximate controllability of MDEs with nonlocal conditions via Krasnoselskii's fixed point theorem.…”