Existence and Uniqueness of Positive Solutions for Fourth-Order Nonlinear Singular Sturm-Liouville Problems

Ying He

School of Mathematics and Statistics, Northeast Petroleum University, Daqing, China.

DOI: 10.4236/jamp.2014.29099                

Abstract

By mixed monotone method, we establish the existence and uniqueness of positive solutions for fourth-order nonlinear singular Sturm-Liouville problems. The theorems obtained are very general and complement previously known results.

Keywords

Mixed Monotone Operator, Fourth-Order Boundary Value Problem, Singular, Uniqueness

Conflicts of Interest

The authors declare no conflicts of interest.

References

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