Source Title:
Mathematica Slovaca
|
Volume/Issue:
Volume 70: Issue 2

Oscillation of second order half-linear neutral differential equations with weaker restrictions on shifted arguments

Simona Fišnarová 1  and Robert Mařík 1
  • 1 Department of Mathematics, Mendel University in Brno, Zemědělská 1 CZ–613 00, Brno, Czech Republic
Simona Fišnarová
  • Department of Mathematics, Mendel University in Brno, Zemědělská 1 CZ–613 00, Brno, Czech Republic
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 and Robert Mařík
  • Department of Mathematics, Mendel University in Brno, Zemědělská 1 CZ–613 00, Brno, Czech Republic
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DOI:
https://doi.org/10.1515/ms-2017-0358
|
Published online:
10 Mar 2020

Abstract

Neutral differential equations are one of the most important extensions of classical ordinary differential equations and aim to give a better explanation for modeling phenomena where ordinary differential equations are insufficient. Naturally, all the questions studied in the scope of ordinary differential equations attracted the attention also for neutral differential equations. In this paper we study the oscillatory properties of second order half-linear neutral differential equations. We present oscillation criteria derived using a new approach. This approach allows us to reduce common restrictions on the deviations in arguments which are present in the currently known results of this type.

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Article information

Received:
2019-05-27
Accepted:
2019-09-17
Published Online:
2020-03-10
Published in Print:
2020-04-28

Citation Information: 
Mathematica Slovaca, Volume 70, Issue 2, Pages 389–400, eISSN 1337-2211, ISSN 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0358.

© 2020 Mathematical Institute Slovak Academy of Sciences.

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Journal + Issues

Mathematica Slovaca

Online ISSN:
1337-2211
First published:
23 Feb 2007
Language:
English
Publisher:
De Gruyter

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