APPROXIMATE CONTROLLABILITY OF SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HILLE-YOSIDA OPERATOR

作者：Lin, Kai-Biao; Liu, Hsiang; Pang, Chin-Tzong^*

来源：Journal of Nonlinear and Convex Analysis, 2016, 17(2): 275-285.

• Approximate controllability
• Banach fixed-point theorem
• extrapolation space
• Hille-Yosida operator
• mild solution

This paper concerns the approximate controllability of a semilinear functional differential equation where the linear part is non-densely defined and satisfies the Hille-Yosida condition on a Banach space X. By considering the extrapolated semigroup corresponding to the linear part and applying Banach fixed-point theorem, we deduce fairly general conditions under which the semi linear functional differential equation is approximately controllable. There will as well be an application of our results to reaction-diffusion equation with a control term addressed.

• 出版日期2016
• 单位厦门理工学院