Notes on oscillation of linear delay differential equations

Abstract This paper deals with the oscillation criteria for the linear delay differential equations. We present new sufficient conditions for the oscillation of all solutions of such equations. The results improve and complement some earlier ones in the literature.

Bibliographic Details
Main Authors: Božena Dorociaková, Radoslav Chupáč, Rudolf Olach
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1608-9
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spelling doaj-76d225cfb2554b05a25d9b87cf7ac2ab2020-11-25T00:41:05ZengSpringerOpenAdvances in Difference Equations1687-18472018-05-01201811710.1186/s13662-018-1608-9Notes on oscillation of linear delay differential equationsBožena Dorociaková0Radoslav Chupáč1Rudolf Olach2Department of Applied Mathematics, University of ŽilinaDepartment of Applied Mathematics, University of ŽilinaDepartment of Applied Mathematics, University of ŽilinaAbstract This paper deals with the oscillation criteria for the linear delay differential equations. We present new sufficient conditions for the oscillation of all solutions of such equations. The results improve and complement some earlier ones in the literature.http://link.springer.com/article/10.1186/s13662-018-1608-9OscillationDelay differential equationSufficient conditions
collection DOAJ
language English
format Article
sources DOAJ
author Božena Dorociaková
Radoslav Chupáč
Rudolf Olach
spellingShingle Božena Dorociaková
Radoslav Chupáč
Rudolf Olach
Notes on oscillation of linear delay differential equations
Advances in Difference Equations
Oscillation
Delay differential equation
Sufficient conditions
author_facet Božena Dorociaková
Radoslav Chupáč
Rudolf Olach
author_sort Božena Dorociaková
title Notes on oscillation of linear delay differential equations
title_short Notes on oscillation of linear delay differential equations
title_full Notes on oscillation of linear delay differential equations
title_fullStr Notes on oscillation of linear delay differential equations
title_full_unstemmed Notes on oscillation of linear delay differential equations
title_sort notes on oscillation of linear delay differential equations
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2018-05-01
description Abstract This paper deals with the oscillation criteria for the linear delay differential equations. We present new sufficient conditions for the oscillation of all solutions of such equations. The results improve and complement some earlier ones in the literature.
topic Oscillation
Delay differential equation
Sufficient conditions
url http://link.springer.com/article/10.1186/s13662-018-1608-9
work_keys_str_mv AT bozenadorociakova notesonoscillationoflineardelaydifferentialequations
AT radoslavchupac notesonoscillationoflineardelaydifferentialequations
AT rudolfolach notesonoscillationoflineardelaydifferentialequations
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