Nonautonomous Differential Equations in Banach Space and Nonrectifiable Attractivity in Two-Dimensional Linear Differential Systems
Author(s) -
Siniša Miličić,
Mervan Pašić
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/935089
Subject(s) - mathematics , banach space , integrable system , mathematical analysis , interval (graph theory) , space (punctuation) , differential equation , class (philosophy) , matrix (chemical analysis) , linear differential equation , c0 semigroup , combinatorics , philosophy , linguistics , materials science , artificial intelligence , computer science , composite material
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
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