Degree Type

Dissertation

Date of Award

1993

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Michael W. Smiley

Abstract

In this Dissertation we study the sinusoidally forced Duffing equation. We show that the Duffing equation with zero Dirichlet boundary conditions has exactly one, two or three solutions depending on the amplitude of the forcing;We also study the nonlinear reaction-diffusion equation for long time behavior using dynamical systems approach. The steady states of the reaction-diffusion equation is governed by the Duffing equation. We prove the existence of a global attractor to which all solutions approach.

DOI

https://doi.org/10.31274/rtd-180813-9622

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Kanapathypillai Sriskandarajah

Language

en

Proquest ID

AAI9335025

File Format

application/pdf

File Size

84 pages

Included in

Mathematics Commons

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