Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients-Reference-Cited by-同舟云学术

Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

Published:2024-06-01 Issue:3 Volume:74 Page:637-664
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Jadlovská Irena¹,Chatzarakis George E.²,Tunç Ercan³

Affiliation:

1. Mathematical Institute Slovak Academy of Sciences Grešákova 6 SK–040 01 Košice Slovakia

2. Department of Electrical and Electronic Engineering Educators School of Pedagogical and Technological Education (ASPETE) Marousi, 15 122 , Athens Greece

3. Department of Mathematics Faculty of Arts and Sciences Tokat Gaziosmanpaşa University , Tokat Turkey

Abstract

Abstract In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved monotonicity properties of nonoscillatory solutions. Our results rely on ideas that essentially improve standard techniques for the investigation of differential equations with unbounded neutral terms with delay or advanced argument. The core of the method is presented in a form that suggests further generalizations for higher-order differential equations with unbounded neutral coefficients.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/ms-2024-0049/pdf

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