Characterization for Rectifiable and Nonrectifiable Attractivity of Nonautonomous Systems of Linear Differential Equations (CROSBI ID 193783)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Yuki, Naito ; Pašić, Mervan
engleski
Characterization for Rectifiable and Nonrectifiable Attractivity of Nonautonomous Systems of Linear Differential Equations
We study a new kind of asymptotic behaviour near for the nonautonomous system of two linear differential equations, where the matrix-valued function has a kind of singularity at zaro. It is called rectifiable (resp., nonrectifiable) attractivity of the zero solution, which means that as and the length of the solution curve of is finite (resp., infinite). It is characterized in terms of certain asymptotic behaviour of the eigenvalues of near t=0. Consequently, the main results are applied to a system of two linear differential equations with polynomial coefficients which are singular at t=0.
nonautonomous system ; rectifiability ; attractivity ; zero solution
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
2013
2013.
740980
11
objavljeno
1687-9643
1687-9651
10.1155/2013/740980
Povezanost rada
Matematika, Temeljne tehničke znanosti