New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations

By Irena Jadlovská. Mathematics, 2021

48 citations recorded by the source corpus.

In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows removing several disadvantages which were commonly associated with the method based on a priori bound for the nonoscillatory solution, and deriving new results which are optimal in a nonneutral case. It is shown that the newly obtained results significantly improve a large number of existing ones.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/95072ac807de351bf82fede0ab4bad48994fb14e