Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term

Abstract

The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities as well as with first-order linear delay differential equations whose oscillatory characters are known. Examples are provided to illustrate the theorems.

Keywords

• oscillatory behavior
• neutral differential equation
• even-order