Accession Number:

AD0672573

Title:

CONDITIONALLY STABLE INVARIANT MANIFOLDS OF SYSTEMS OF DIFFERENTIAL EQUATIONS WITH OR WITHOUT DELAY.

Descriptive Note:

Technical rept. for 1967-68,

Corporate Author:

CALIFORNIA UNIV BERKELEY DEPT OF MATHEMATICS

Personal Author(s):

• Samn,Sherwood W. L.

Report Date:

1968-06-01

Pagination or Media Count:

99.0

Abstract:

The existence and smoothness of the stable manifold of invariant manifolds of systems of differential -difference equations of the form dthetadt a Thetat, thetat-r, xt-r, yt-r dxdt A sub 1t, thetaxt-r Xt, thetat-r, xt-r, yt-r dydt A sub 2t, thetayt-r Yt, thetat-r, xt-r, yt-r where r or 0, and a is a constant. A sub i, i 1,2, are matrices, and are constant if r is not equal to 0. The results in this study are generalizations of some results of Coddington and Levinson, and of Hale. Author

Descriptors:

• (*DIFFERENTIAL EQUATIONS
• TOPOLOGY)
• BANACH SPACE
• MAPPING(TRANSFORMATIONS)
• MATRICES(MATHEMATICS)
• OPERATORS(MATHEMATICS)
• PERIODIC VARIATIONS
• STABILITY
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE