𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Some existence and bifurcation results for solutions of nonlinear Sturm-Liouville eigenvalue problems

✍ Scribed by Chao-Nien Chen


Book ID
110559496
Publisher
Springer-Verlag
Year
1991
Tongue
French
Weight
721 KB
Volume
208
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Existence of positive solutions of nonli
✍ F Merdivenci Atici 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 511 KB

we are concerned with proving the existence of positive solutions of two-point boundary value problems for the nonlinear discrete Sturm-Liouville equation Z&(t) := -Ab(t -I)Az/(tl)] + q(t)y(t) = f(t, y(t)). We will use some results for differentiable operators along a certain cone in a Banach space.

Global bifurcation and multiple results
✍ 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