| Title:
|
Oscillation conditions for first-order nonlinear advanced differential equations (English) |
| Author:
|
Öcalan, Özkan |
| Author:
|
Kiliç, Nurten |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
64 |
| Issue:
|
2 |
| Year:
|
2023 |
| Pages:
|
253-263 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. Kil\iç, Ö. Öcalan and U. M. Özkan. Also we give an example to illustrate our results. (English) |
| Keyword:
|
nonlinear advanced equation |
| Keyword:
|
nonmonotone argument |
| Keyword:
|
oscillatory solution |
| MSC:
|
34C10 |
| MSC:
|
34K06 |
| MSC:
|
34K11 |
| idZBL:
|
Zbl 07790594 |
| idMR:
|
MR4659002 |
| DOI:
|
10.14712/1213-7243.2023.022 |
| . |
| Date available:
|
2023-12-13T13:29:28Z |
| Last updated:
|
2025-07-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151858 |
| . |
| Reference:
|
[1] 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. MR 3479781 |
| Reference:
|
[2] 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. |
| Reference:
|
[3] 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. MR 3963017 |
| Reference:
|
[4] Chatzarakis G. E., Li T.: Oscillation of differential equations generated by several deviating arguments.Adv. Difference Equ. (2017), Paper No. 292, 24 pages. MR 3703534 |
| Reference:
|
[5] Chatzarakis G. E., Öcalan Ö.: Oscillations of differential equations with several non-monotone advanced arguments.Dyn. Syst. 30 (2015), no. 30, 310–323. MR 3373715, 10.1080/14689367.2015.1036007 |
| Reference:
|
[6] 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. |
| Reference:
|
[7] Fukagai N., Kusano T.: Oscillation theory of first order functional-differential equations with deviating arguments.Ann. Mat. Pura Appl. (4) 136 (1984), 95–117. MR 0765918 |
| Reference:
|
[8] 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. MR 4269225 |
| Reference:
|
[9] 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. MR 1017244 |
| Reference:
|
[10] 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. MR 3984642 |
| Reference:
|
[11] 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. MR 3607086 |
| Reference:
|
[12] Zhou D.: On some problems on oscillation of functional differential equations of first order.J. Shandong Univ., Nat. Sci. Ed. 25 (1990), 434–442. |
| . |
