Positive solutions to a nonlinear third order three-point boundary value problem

Abstract

We consider a third order three point boundary value problem. Some upper and lower estimates for positive solutions of the problem are proved. Sufficient conditions for the existence and nonexistence of positive solutions for the problem are obtained. An example is included to illustrate the results.

Keywords

• Boundary value problems
• existence of positive
• solutions
• nonexistence of positive solutions
• nonlinear
• equations
• third order problem
• three point boundary conditions