An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type

Autor: Osama Moaaz, Ali Muhib, Shyam S. Santra
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics, Vol 9, Iss 14, p 1634 (2021)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math9141634
Popis: It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced terms). In this work, we consider the second-order non-canonical neutral differential equations of mixed type and establish a new single-condition criterion for the oscillation of all solutions. By using a different approach and many techniques, we obtain improved oscillation criteria that are easy to apply on different models of equations.
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