CaltechTHESIS
  A Caltech Library Service

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

Citation

Ellison, James Auby (1971) Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechTHESIS:03292013-085108737

Abstract

In this study we investigate the existence, uniqueness and asymptotic stability of solutions of a class of nonlinear integral equations which are representations for some time dependent non- linear partial differential equations. Sufficient conditions are established which allow one to infer the stability of the nonlinear equations from the stability of the linearized equations. Improved estimates of the domain of stability are obtained using a Liapunov Functional approach. These results are applied to some nonlinear partial differential equations governing the behavior of nonlinear continuous dynamical systems.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Applied Mathematics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Applied Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Caughey, Thomas Kirk
Thesis Committee:
  • Unknown, Unknown
Defense Date:24 August 1970
Record Number:CaltechTHESIS:03292013-085108737
Persistent URL:http://resolver.caltech.edu/CaltechTHESIS:03292013-085108737
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7561
Collection:CaltechTHESIS
Deposited By: Benjamin Perez
Deposited On:29 Mar 2013 16:11
Last Modified:29 Mar 2013 16:11

Thesis Files

[img]
Preview
PDF - Final Version
See Usage Policy.

10Mb

Repository Staff Only: item control page