Positive solutions for singular boundary value problems of a coupled system of differential equations

By Haiyan Lü, Huimin Yu, Yansheng Liu. 2005

48 citations recorded by the source corpus.

By using fixed point theorem of cone expansion and compression, this paper investigates the existence of multiple positive solutions for singular boundary value problems of a coupled system of nonlinear ordinary differential equations.

Subfields: Applied Mathematics, Geometry and Topology, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/0f5cd7b96f7b43efda1adb3ecbb8627b8818253a

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. Paolamaria Pietramala
2. Gennaro Infante
3. Feliz M. Minhós
4. Christopher S. Goodrich
5. J. R. L. Webb
6. Arturas Stikonas
7. Filomena Cianciaruso
8. Lishan Liu

In Geometry and Topology

1. Gennaro Infante
2. Paolamaria Pietramala
3. Christopher S. Goodrich

In Numerical Analysis

1. Paolamaria Pietramala
2. Gennaro Infante
3. Feliz M. Minhós
4. Christopher S. Goodrich
5. J. R. L. Webb
6. Arturas Stikonas
7. Filomena Cianciaruso
8. Lishan Liu

Citations in the corpus

• Non-negative solutions of systems of ODEs with coupled boundary conditions (2012, background): “[25], Sun [30] and the doctoral thesis of Matas [26].”
• Multiple nonnegative solutions of systems with coupled nonlinear boundary conditions (2013, methodology): “In [9], Lu and coauthors, by means of the Krasnosel’skiı̆–Guo theorem on cone compressions and cone expansions, studied the existence of positive solutions of the system of ODEs u00.”