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Miličić, Siniša; Pašić, Mervan

Nonautonomous differential equations in Banach space and nonrectifiable attractivity in two-dimensional linear differential systems. (English) Zbl 1277.34086

Abstr. Appl. Anal. 2013, Article ID 935089, 10 p. (2013).
Summary: We study the asymptotic behaviour on a finite interval of a class of linear nonautonomous singular differential equations in Banach space by the nonintegrability of the first derivative of its solutions. According to these results, the nonrectifiable attractivity on a finite interval of the zero solution of the two-dimensional linear integrable differential systems with singular matrix-elements is characterized.

Cited in 4 Documents

MSC:

34G10 Linear differential equations in abstract spaces
34D05 Asymptotic properties of solutions to ordinary differential equations

Keywords:

finite interval; singular differential equations
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\textit{S. Miličić} and \textit{M. Pašić}, Abstr. Appl. Anal. 2013, Article ID 935089, 10 p. (2013; Zbl 1277.34086)
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References:

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