Remarks on some oscillation theorems for Nth-order differential equations with a retarded argument

Oscillation in First Order Nonlinear Retarded Argument Differential Equations

A result of Ladas; Lakshmikantham, and Papadakis [1] concerning oscillation caused by lag in linear first order retarded argument differential equations is generalized to the sublinear case. Examples showing that such generalization to the superlinear case is impossible are given. 0. Introduction. It is known ([1], for example) that (A) g e C(R, R), g(t) < t for t e R, g(t) is strictly increasi...

Oscillation criteria for nth order nonlinear neutral differential equations

In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form

Oscillation Theorems for Second-Order Forced Neutral Nonlinear Differential Equations with Delayed Argument

MORE ON OSCILLATION OF nTH-ORDER EQUATIONS

In this paper we prove that a higher-order differential equation with one middle term has every bounded solution oscillatory. Moreover, the behavior of unbounded solutions is given. Two other results dealing with positive solutions are also given.

Oscillation for Third-Order Nonlinear Differential Equations with Deviating Argument

and Applied Analysis 3 If any solution x of 1.1 is either oscillatory, or satisfies the condition 1.7 , or admits the asymptotic representation x i c 1 sin t − α i εi t , i 0, 1, 2, 3 , 1.8 where c / 0 and α are constants, the continuous functions εi i 0, 1, 2, 3 vanish at infinity and ε0 satisfies the inequality cε0 t > 0 for large t, then we say that 1.1 has weak property A. For n 3, the resu...