On the nonoscillatory behavior of solutions of third order differential equations

Abstract

We are interested in nonoscillatory behavior of solutions of differential equations of the form

where p(t) ≥ 0, q(t) ≤ 0 are real valued continuous functions on [0,∞), ∝ > 0 is the ratio of odd integers and h(y) is continuous on (-∞,∞) such that h(y)y>0 for y ≠ 0. We obtain sufficient contitions so that all solutions of the considered equation are nonoscillatory.

Keywords:

• third order nonlinear differential equations
• nonoscillatory solutions