Properties of Zeros of Solutions to Third Order Nonlinear Differential Equations

Abstract

We investigate the behavior of zeros of solutions to the certain type of third order nonlinear differential equations. We show that the behavior of zeros may be rather different and depend on the nature of nonlinearity in the equation. Main results in the paper are illustrated with a number of examples.

Keywords:

• third order nonlinear differential equations
• zeros of solutions
• dependence of zeros on initial data
• super-linearity
• sub-linearity

AMS Subject Classification:

• 34C10