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

Siniša Miličić and Mervan Pašić

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/935089

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:935089

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