The upper and lower solution method for a class of singular nonlinear second order three-point boundary value problems

By Zhongxin Zhang, Junyu Wang. 2002

66 citations recorded by the source corpus.

In this paper we develop the upper and lower solution method and the monotone iterative technique for a class of singular nonlinear second order three-point boundary value problems. A maximum principle is established and some new existence results are obtained.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/47065cb2ebb1954055193979d6da547be7618fd9

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In Applied Mathematics

1. Meiqiang Feng
2. D. Xie
3. Weigao Ge
4. Martin J. Bohner
5. Xuemei Zhang
6. Hua Luo
7. Samir H. Saker
8. Allan Peterson

In Numerical Analysis

1. Meiqiang Feng
2. Weigao Ge
3. Martin J. Bohner
4. Xuemei Zhang
5. D. Xie
6. Hua Luo
7. Samir H. Saker
8. Allan Peterson

Citations in the corpus

• Singular second-order multipoint dynamic boundary value problems with mixed derivatives (2006, background): “Introduction Singular nonlinear boundary value problems for differential equations and difference equations have been extensively studied in the literature; see [1, 4, 11, 12, 16, 18–22] and the references therein.”
• Symmetric positive solutions for p-Laplacian fourth-order differential equations with integral boundary conditions (2008, background): “To identify a few, we refer the reader to [1–8,10,14,16–34] and references therein.”
• Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations (2009, background): “Since then a lot of attention has been paid to the study of nonlinear multi-point boundary value problems, see [12–17,19–31].”