Accession Number : AD0684349

Title :   ON ASYMPTOTIC STABILITY ACCORDING TO LYAPUNOV IN SOME CRITICAL CASES,

Corporate Author : REDSTONE SCIENTIFIC INFORMATION CENTER REDSTONE ARSENAL ALA

Personal Author(s) : Kostin,V. V.

Report Date : JAN 1969

Pagination or Media Count : 10

Abstract : Under consideration are systems of the type dx/dt= A(t)x, dx/dt= A(t)x + f(t,x), dx/dt= A(t)x + phi(t) + F(t,x). Some or all real parts of the eigenvalues of A(t) approach zero as t approaches + infinity. Sufficient conditions are obtained for asymptotic stability according to Lyapunov of the solutions of the systems as t approaches + infinity.

Descriptors :   (*DIFFERENTIAL EQUATIONS, STABILITY), NUMERICAL INTEGRATION, MATRICES(MATHEMATICS), THEOREMS, USSR

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE