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A generalization of Lie's “counting” theorem for second-order ordinary differential equations

✍ Scribed by Robert L. Anderson; Suzanne M. Davison


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
709 KB
Volume
48
Category
Article
ISSN
0022-247X

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Global bifurcation theorem for a class o
✍ Jacek Gulgowski 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 138 KB

## Abstract In this paper we deal with boundary value problems equation image where __l__ : __C__^1^([__a, b__], ℝ^__k__^) → ℝ^__k__^ × ℝ^__k__^ is continuous, __μ__ ≤ 0 and __φ__ is a Caratheodory map. We define the class __S__ of maps __l__, for which a global bifurcation theorem holds for the