LYAPUNOV'S SECOND METHOD IN ORDINARY DIFFERENTIAL EQUATIONS.

reportActive / Technical Report | Accession Number: AD0690242 | Need Help?

Abstract:

The research covered by this report includes the following areas Investigations into the effect of a perturbation on the solutions of an asymptotically stable system An account of recent developments of comparison methods in the study of stability and Lyapunovs second method Methods of obtaining sharp estimates for solutions of nonlinear perturbations of linear systems and, Linear problems on an infinite interval and integral representation for the Greens function. Author

Author(s):
Brauer, Fred
Author Organization(s):
WISCONSIN UNIV MADISON
Descriptive Note:
Final rept. 1 Sep 64-8 Jun 69,
Pagination:
0004

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
AROD-5003:12-M
Contract/Grant Number(s):
DA-31-124-ARO(D)-268
Monitor Series:
5003:12-M
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
*DIFFERENTIAL EQUATIONS, *PERTURBATION THEORY, BOUNDARY VALUE PROBLEMS, CALCULUS OF VARIATIONS, LINEAR SYSTEMS, NONLINEAR SYSTEMS, STABILITY
Field(s)/Group(s):
Numerical Mathematics
Keyword(s):
ASYMPTOTIC STABILITY, LYAPUNOV FUNCTIONS
Report Date:
1969 Jul 01