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Necessary and Sufficient Conditions for a Hamiltonian with Discrete Eigenvalues to have Time Operators

โœ Scribed by Asao Arai

Publisher
Springer
Year
2008
Tongue
English
Weight
179 KB
Volume
87
Category
Article
ISSN
0377-9017

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A Necessary and Sufficient Condition for
A Necessary and Sufficient Condition for Permanence of a Lotkaโ€“Volterra Discrete System with Delays
โœ Yasuhisa Saito; Wanbiao Ma; Tadayuki Hara ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 97 KB

In this paper we consider the permanence of the following LotkaแŽVolterra ลฝ . ลฝ . ร„ w discrete competition system with delays k , k , l , and l : .x4 l . We show the system is permanent for all nonnegative integers k , k , l , and 2 1 2 1 l , if and only if -1 and -1 hold. แฎŠ 2001 Academic Press 2 1