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On the connected stability of the large-scale systems of dynamical equations on the time scale in critical cases

✍ Scribed by Sergei V. Babenko; Vitalii I. Slyn’ko


Book ID
113072780
Publisher
Springer US
Year
2012
Tongue
English
Weight
299 KB
Volume
182
Category
Article
ISSN
1573-8795

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On the number of positive solutions of s
✍ Hong-Rui Sun; Wan-Tong Li 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 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 ∞ } and i ∞ = number of infinities in the set {f 0 , f ∞ }. By using fixed point index theory, we show that: (i) if i 0 = 1 or 2, then th