Publication Date


Advisor(s) - Committee Chair

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

Degree Program

Department of Mathematics and Computer Science

Degree Type

Master of Science


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.



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Mathematics Commons