An improved oscillation theorem for nonlinear differential equations of advanced type

Nurten Kiliç; Özkan Öcalan; Mustafa Kemal Yildiz

Archivum Mathematicum (2024)

  • Volume: 060, Issue: 3, page 145-152
  • ISSN: 0044-8753

Abstract

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This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.

How to cite

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Kiliç, Nurten, Öcalan, Özkan, and Yildiz, Mustafa Kemal. "An improved oscillation theorem for nonlinear differential equations of advanced type." Archivum Mathematicum 060.3 (2024): 145-152. <http://eudml.org/doc/299523>.

@article{Kiliç2024,
abstract = {This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.},
author = {Kiliç, Nurten, Öcalan, Özkan, Yildiz, Mustafa Kemal},
journal = {Archivum Mathematicum},
keywords = {advanced equations; nonmonotone argument; oscillatory solution},
language = {eng},
number = {3},
pages = {145-152},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {An improved oscillation theorem for nonlinear differential equations of advanced type},
url = {http://eudml.org/doc/299523},
volume = {060},
year = {2024},
}

TY - JOUR
AU - Kiliç, Nurten
AU - Öcalan, Özkan
AU - Yildiz, Mustafa Kemal
TI - An improved oscillation theorem for nonlinear differential equations of advanced type
JO - Archivum Mathematicum
PY - 2024
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 060
IS - 3
SP - 145
EP - 152
AB - This paper deals with the oscillatory solutions of the first order nonlinear advanced differential equation. The aim of the present paper is to obtain an oscillation condition for this equation. This result is new and improves and correlates many of the well-known oscillation criteria that were in the literature. Finally, an example is given to illustrate the main result.
LA - eng
KW - advanced equations; nonmonotone argument; oscillatory solution
UR - http://eudml.org/doc/299523
ER -

References

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  2. Koplatadze, R.G., Chanturija, T.A., Oscillating and monotone solutions of first-order differential equations with deviating arguments, Differ. Uravn. 8 (1982), 1463–1465. (1982) MR0671174
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  7. Li, X., Zhu, D., 10.1016/S0022-247X(02)00029-X, J. Math. Anal. Appl. 269 (2002), 462–488. (2002) MR1907126DOI10.1016/S0022-247X(02)00029-X
  8. Öcalan, Ö., Kılıç, N., Özkan, U.M., Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument, Acta Math. Univ. Comenian. (N.S.) 88 (2019), 239–246. (2019) MR3984642
  9. Öcalan, Ö., Özkan, U.M., Oscillations of dynamic equations on time scales with advanced arguments, Int. J. Dyn. Syst. Differ. Equ. 6 (2016), 275–284. (2016) MR3607086

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