Multiple Positive Solutions for Singular Semipositone Periodic Boundary Value Problems with Derivative Dependence

Abstract

By constructing a special cone in $C^1[0,2\pi ]$ and the fixed point theorem, this paper investigates second-order singular semipositone periodic boundary value problems with dependence on the first-order derivative and obtains the existence of multiple positive solutions. Further, an example is given to demonstrate the applications of our main results.