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On the polydynamics of nonlinear systems on a time scale

โœ Scribed by A. A. Martynyuk


Book ID
111454370
Publisher
SP MAIK Nauka/Interperiodica
Year
2007
Tongue
English
Weight
196 KB
Volume
75
Category
Article
ISSN
1064-5624

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โœ Hong-Rui Sun; Wan-Tong Li ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

In this paper we consider the following n-dimensional second-order nonlinear system on time scales f i (u)/ u . Define i 0 = number of zeros in the set {f 0 , f โˆž } and i โˆž = number of infinities in the set {f 0 , f โˆž }. By using fixed point index theory, we show that: (i) if i 0 = 1 or 2, then th