Existence Theory for Single Positive Solution to Fourth-Order Boundary Value Problems

Ying He

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

DOI: 10.4236/apm.2014.48053                

Abstract

By fixed point theorem of a mixed monotone operator, we study boundary value problems to nonlinear singular fourth-order differential equations, and provide sufficient conditions for the existence and uniqueness of positive solution. The nonlinear term in the differential equation may be singular.

Keywords

Mixed Monotone Operator, Singular, Existence, Uniqueness

Conflicts of Interest

The authors declare no conflicts of interest.

References

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