Publication Date
5-1-2006
Degree Program
Department of Mathematics and Computer Science
Degree Type
Master of Science
Abstract
A large part of contemporary natural science is concerned with investigating the motion of systems in time with a determined state space. To conduct this investigation, we study the theory of one-parameter semigroups. The theory is developed from the simplest scalar case and finite dimensional case to semigroups of linear operators on Banach spaces which started in the first half of the last century. This thesis is designed to give a basic introduction to semigroup theory and its application. Some proofs and illustrative examples are provided.
Disciplines
Mathematics
Recommended Citation
Nguyen, Ngoc, "Operator Semigroups: Definitions, Properties and Applications" (2006). Masters Theses & Specialist Projects. Paper 254.
https://digitalcommons.wku.edu/theses/254