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Bifurcation from infinity and multiple solutions for some discrete Sturm–Liouville problems

✍ Scribed by Ruyun Ma

Book ID
108077142
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
236 KB
Volume
54
Category
Article
ISSN
0898-1221

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Global bifurcation and multiple results
Global bifurcation and multiple results for Sturm–Liouville problems
✍ Yujun Cui; Jingxian Sun; Yumei Zou 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 249 KB

We consider the nonlinear Sturm-Liouville boundary value problem where L is the linear Sturm-Liouville operator (Lu)(t) = -(p(t)u ′ (t)) ′ + q(t)u(t). We obtain a global bifurcation result for a related bifurcation problem. We then use this to obtain multiple (at least eight) solutions of the Sturm