Three positive fixed points of nonlinear operators on ordered banach spaces

By Richard Avery, Allan Peterson. 2001

368 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f8018198ff7eba6652412cf840c57cb389c92887

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Jian-Ping Sun
2. Hai-E Zhang
3. Weigao Ge
4. Hairong Lian
5. Youyu Wang
6. Huihui Pang

In Control and Systems Engineering

1. Weigao Ge
2. Hairong Lian
3. Hai-E Zhang
4. Youyu Wang
5. Jian-Ping Sun
6. Huihui Pang

In Geometry and Topology

1. Weigao Ge
2. Hairong Lian
3. Hai-E Zhang
4. Jian-Ping Sun
5. Huihui Pang

Citations in the corpus

• Triple positive solutions for boundary value problems on infinite intervals (2007, methodology): “Especially, the existence of triple positive solutions attracts much attention [2–8].”
• Multiple positive solutions for multipoint boundary value problems with one-dimensional p-Laplacian☆ (2007, background): “[11] Let P be a cone in a real Banach space E.”
• A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations (2011, neutral): “Many authors have studied this problem, for a small sample of such work, we refer the reader to works [4,6,9,21,22,27,30,38,42].”
• A generalization of the Leggett-Williams fixed point theorem and its application (2012, methodology): “Recently, some new fixed point theorems based on LeggettWilliams’ work were established [5, 8–10, 18].”