Naslov
Characterization for Rectifiable and Nonrectifiable Attractivity of Nonautonomous Systems of Linear Differential Equations

Autori
Yuki, Naito ; Pašić, Mervan

Izvornik
International journal of differential equations (1687-9643) 2013 (2013); 740980, 11

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
nonautonomous system ; rectifiability ; attractivity ; zero solution

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika, Temeljne tehničke znanosti

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