Research Article
Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular ![]()
School of Mathematics Sciences, Qufu Normal University, Qufu, Shandong 273165, China
Boundary Value Problems 2009, 2009:191627 doi:10.1155/2009/191627
Published: 1 December 2009Abstract
This paper investigates the existence and uniqueness of smooth positive solutions
to a class of singular m-point boundary value problems of second-order ordinary differential equations. A
necessary and sufficient condition for the existence and uniqueness of smooth positive
solutions is given by constructing lower and upper solutions and with the maximal
theorem. Our nonlinearity 
may be singular at 
and/or 
.
