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

Included in

Mathematics Commons

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