New Aspects for Non-Existence of Kneser Solutions of Neutral Differential Equations with Odd-Order

Abstract

Some new oscillatory and asymptotic properties of solutions of neutral differential equations with odd-order are established. Through the new results, we give sufficient conditions for the oscillation of all solutions of the studied equations, and this is an improvement of the relevant results. The efficiency of the obtained criteria is illustrated via example.

Keywords

• odd-order differential equations
• Kneser solutions
• oscillatory solutions