Qualitative Behavior of Solutions to Differential Equations in <i>R</i>^<em>n</em> and in Hilbert Space

The qualitative behavior of solutions of differential equations mainly addresses the various questions arising in the study of the long run behavior of solutions. The contents of this thesis are related to three of the major problems of the qualitative theory, namely the stability, the boundedness and the periodicity of the solution. Learning the qualitative behavior of such solutions is crucial part of the theory of differential equations. It is important to know if a solution is bounded or unbounded or if a solution is stable. Moreover, the periodicity of a solution is also of great significance for practical purposes.

Name thesis:degree_name

Master of Science

Discipline thesis:degree_discipline

Department of Mathematics and Computer Science

Year

2009

Author dc:creator

• Dong, Qian

Contributors dc:contributor

• Dr. Lan Nguyen (Director), Dr. John Spraker,Dr. Di Wu

• differential equations
• qualitative theory
• semigroups
• Mathematics

Repository record dc:identifier

https://digitalcommons.wku.edu/theses/59

OAI identifier oai:identifier

oai:digitalcommons.wku.edu:theses-1060