TITLE:
Existence Theory for Single Positive Solution to Fourth-Order Boundary Value Problems
AUTHORS:
Ying He
KEYWORDS:
Mixed Monotone Operator, Singular, Existence, Uniqueness
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.8,
August
26,
2014
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.