Existence of positive solutions for third-order semipositone boundary value problems on time scales

Abstract

In this paper, we consider the existence of positive solutions for a semipositone third-order nonlinear ordinary differential equation on time scales. In suitable growth conditions, by considering the properties on time scales and establishing a special cone, some new results on the existence of positive solutions are established when the nonlinearity is semipositone.

Keywords

• existence of positive solution
• semipositone
• time scales
• fixed point theorem
• integral boundary conditions