State University of Moldova
Faculty of Mathematics and Informatics
60, A. Mateevich Str.
Chisinau, MD-2009, Moldova
e-mail: cheban@usm.md
David N. Cheban
Abstract:
It is shown that non-autonomous quasi-homogeneous dynamical
systems admit a compact global attractor. The general results
obtained here are applied to differential equations both in
finite dimensional spaces and in infinite dimensional spaces,
such as ordinary differential equations in Banach space and
some types of evolutional partial differential equations.
Submitted November 26, 2001. Published January 30, 2002.
Math Subject Classifications: 34C35.
Key Words: non-autonomous quasi-homogeneous systems, global attractors
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David N. Cheban State University of Moldova Faculty of Mathematics and Informatics 60, A. Mateevich Str. Chisinau, MD-2009, Moldova e-mail: cheban@usm.md |
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