Approximate Controllability of a Parabolic Dynamic Equation on Homogeneous Time Scales
Abstract
This paper aims to explore the approximate controllability of a semilinear system of parabolic dynamic equations on homogeneous time scales. Building on the innovative semigroup theory for time scales introduced in [13], we leverage a pivotal lemma from [5] that characterizes these semigroups. By combining these tools with Rothe's fixed-point theorem, we provide a comprehensive framework to establish our results, bridging concepts from time scale calculus and control theory.
Recommended Citation
M. Bohner et al., "Approximate Controllability of a Parabolic Dynamic Equation on Homogeneous Time Scales," Quaestiones Mathematicae, National Inquiry Services Centre (NISC); Taylor and Francis; Taylor and Francis Group, Jan 2025.
The definitive version is available at https://doi.org/10.2989/16073606.2025.2536662
Department(s)
Mathematics and Statistics
Keywords and Phrases
C0-semigroups; controllability; infinitesimal generator; Time scales
International Standard Serial Number (ISSN)
1727-933X; 1607-3606
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 National Inquiry Services Centre (NISC); Taylor and Francis; Taylor and Francis Group, All rights reserved.
Publication Date
01 Jan 2025
