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 : JUN 1968

Pagination or Media Count : 99

Abstract : The existence and smoothness of the stable manifold of invariant manifolds of systems of differential (-difference) equations of the form d(theta)/dt = a + Theta(t, theta(t-r), x(t-r), y(t-r)); dx/dt = A sub 1(t, theta)x(t-r) + X(t, theta(t-r), x(t-r), y(t-r)); dy/dt = A sub 2(t, theta)y(t-r) + Y(t, theta(t-r), x(t-r), y(t-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