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Existence of positive solutions of nonlinear discrete Sturm-Liouville problems

✍ Scribed by F Merdivenci Atici

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
511 KB
Volume
32
Category
Article
ISSN
0895-7177

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✦ Synopsis

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. Useful results concerning Green's functions for general two-point boundary value problems for Q(t) := -Ab(t -l)A&t -l)] + q(t)&t) = 0 will also be given.

📜 SIMILAR VOLUMES

Positive solutions of sublinear Sturm–Li
Positive solutions of sublinear Sturm–Liouville problems with changing sign nonlinearity
✍ Hongyu Li; Jingxian Sun 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 540 KB

In this paper, the following nonlinear Sturm-Liouville problem is discussed by topological methods. In the case that the nonlinear term is non-singular or singular, a global structure of the positive solution set of the above problem is obtained, and the existence of positive solutions is proved un