Oscillation conditions for first-order nonlinear advanced differential equations
Commentationes Mathematicae Universitatis Carolinae (2023)
- Volume: 64, Issue: 2, page 253-263
- ISSN: 0010-2628
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topÖcalan, Özkan, and Kiliç, Nurten. "Oscillation conditions for first-order nonlinear advanced differential equations." Commentationes Mathematicae Universitatis Carolinae 64.2 (2023): 253-263. <http://eudml.org/doc/299169>.
@article{Öcalan2023,
abstract = {Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.},
author = {Öcalan, Özkan, Kiliç, Nurten},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {nonlinear advanced equation; nonmonotone argument; oscillatory solution},
language = {eng},
number = {2},
pages = {253-263},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Oscillation conditions for first-order nonlinear advanced differential equations},
url = {http://eudml.org/doc/299169},
volume = {64},
year = {2023},
}
TY - JOUR
AU - Öcalan, Özkan
AU - Kiliç, Nurten
TI - Oscillation conditions for first-order nonlinear advanced differential equations
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2023
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 64
IS - 2
SP - 253
EP - 263
AB - Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented. Our results essentially improve two conditions in the paper “Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments” by N. Kilıç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results.
LA - eng
KW - nonlinear advanced equation; nonmonotone argument; oscillatory solution
UR - http://eudml.org/doc/299169
ER -
References
top- Braverman E., Chatzarakis G. E., Stavroulakis I. P., Iterative oscillation tests for differential equations with several nonmonotone arguments, Adv. in Difference Equ. (2016), Paper No. 87, 18 pages. MR3479781
- Chatzarakis G. E., Jadlovská I., Explicit criteria for the oscillation of differential equations with several arguments, Dynam. Systems Appl. 28 (2019), no. 2, 217–242.
- Chatzarakis G. E., Jadlovská I., Li T., Oscillations of differential equations with non-monotone deviating arguments, Adv. Difference Equ. (2019), Paper No. 233, 20 pages. MR3963017
- Chatzarakis G. E., Li T., Oscillation of differential equations generated by several deviating arguments, Adv. Difference Equ. (2017), Paper No. 292, 24 pages. MR3703534
- Chatzarakis G. E., Öcalan Ö., 10.1080/14689367.2015.1036007, Dyn. Syst. 30 (2015), no. 30, 310–323. MR3373715DOI10.1080/14689367.2015.1036007
- Erbe L. H., Kong Q., Zhang B. G., Oscillation Theory for Functional-differential Equations, Monogr. Textbooks Pure Appl. Math., 190, Marcel Dekker, New York, 1995.
- Fukagai N., Kusano T., Oscillation theory of first order functional-differential equations with deviating arguments, Ann. Mat. Pura Appl. (4) 136 (1984), 95–117. MR0765918
- Kiliç N., Öcalan Ö., Özkan U. M., Oscillation tests for nonlinear differential equations with several nonmonotone advanced arguments, Appl. Math. E-Notes 21 (2021), 253–262. MR4269225
- Ladde G. S., Lakshmikantham V., Zhang B. G., Oscillation Theory of Differential Equations with Deviating Arguments, Monogr. Textbooks Pure Appl. Math., 110, Marcel Dekker, New York, 1987. MR1017244
- Öcalan Ö., Kiliç N., Özkan U. M., Oscillatory behavior of nonlinear advanced differential equations with a non-monotone argument, Acta Math. Univ. Comenian. (N.S.) 88 (2019), no. 2, 239–246. MR3984642
- Öcalan Ö., Özkan U. M., Oscillations of dynamic equations on time scales with advanced arguments, Int. J. Dyn. Syst. Differ. Equ. 6 (2016), no. 4, 275–284. MR3607086
- Zhou D., On some problems on oscillation of functional differential equations of first order, J. Shandong Univ., Nat. Sci. Ed. 25 (1990), 434–442.
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