Estimation of Turning Point Location of Convex Solutions for Nonlinear Second-Order Differential Equations

Abstract

In this paper, we study the existence and location of turning points of the convex solutions for a certain class of the ordinary differential equations subject to the Dirichlet boundary conditions. We propose a practical and effective method for calculating the lower and upper bounds of turning point location.

Keywords:

• boundary value problem
• second-order equation
• nonlinear differential equation

AMS Subject Classification:

• 34B15
• 34C11
• 34A40