Title:
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Oscillation conditions for first-order nonlinear advanced differential equations (English) |
Author:
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Öcalan, Özkan |
Author:
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Kiliç, Nurten |
Language:
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English |
Journal:
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Commentationes Mathematicae Universitatis Carolinae |
ISSN:
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0010-2628 (print) |
ISSN:
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1213-7243 (online) |
Volume:
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64 |
Issue:
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2 |
Year:
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2023 |
Pages:
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253-263 |
Summary lang:
|
English |
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Category:
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math |
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Summary:
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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:
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nonlinear advanced equation |
Keyword:
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nonmonotone argument |
Keyword:
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oscillatory solution |
MSC:
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34C10 |
MSC:
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34K06 |
MSC:
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34K11 |
idZBL:
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Zbl 07790594 |
idMR:
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MR4659002 |
DOI:
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10.14712/1213-7243.2023.022 |
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Date available:
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2023-12-13T13:29:28Z |
Last updated:
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2025-07-07 |
Stable URL:
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http://hdl.handle.net/10338.dmlcz/151858 |
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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:
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[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. |
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