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

Oscillation of second order half-linear neutral differential equations with weaker restrictions... AbstractNeutral 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematica Slovaca de Gruyter

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

Mathematica Slovaca , Volume 70 (2): 12 – Apr 28, 2020

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Publisher
de Gruyter
Copyright
© 2020 Mathematical Institute Slovak Academy of Sciences
ISSN
0139-9918
eISSN
1337-2211
DOI
10.1515/ms-2017-0358
Publisher site
See Article on Publisher Site

Abstract

AbstractNeutral 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.

Journal

Mathematica Slovacade Gruyter

Published: Apr 28, 2020

References

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