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Oscillation criteria for higher order differential equations with positive and negative coefficients

Shoukaku Yutaka

Fasciculi Mathematici

2019

nr 62

121--140

A new sufficient conditions for the oscillation of all solutions of higher order neutral delay differential equations with positive and negative coefficients are given. Because, we did not find a paper which gave conditions to guarantee the existence of oscillatory solutions for those equations with positive and negative coefficients. The main distinguishing feature of results is oscillation theorems for all solutions of those homogeneous or nonhomogeneous neutral equations are derived. These oscillation criteria extend and improve the results given in the recent papers.

The oscillation criteria for nonlinear neutral differential equations

Bater J., Min Y.

Demonstratio Mathematica

2005

Vol. 38, nr 1

69--78

The problem of oscillation of a class of nonlinear neutral type integro-differential equations with distributed delay is discussed. The necessary and sufficient condition and another sufficient criterion for oscillation have been given.