Abstract and Applied Analysis

Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems

Siniša Miličić and Mervan Pašić

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 935089, 10 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511859

Digital Object Identifier
doi:10.1155/2013/935089

Mathematical Reviews number (MathSciNet)
MR3045077

Zentralblatt MATH identifier
1277.34086

Citation

Miličić, Siniša; Pašić, Mervan. Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems. Abstr. Appl. Anal. 2013 (2013), Article ID 935089, 10 pages. doi:10.1155/2013/935089. https://projecteuclid.org/euclid.aaa/1393511859


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