| Title:
|
On boundedness, square integrability and uniform stability for neutral non autonomous third order differential equations with delay (English) |
| Author:
|
Abdellaoui, Fatima |
| Author:
|
Rahmane, Mebrouk |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
150 |
| Issue:
|
2 |
| Year:
|
2025 |
| Pages:
|
291-308 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the study of the solutions for a given class of neutral third order differential equations with delay, a suitable conditions are given based on the Lyapunov second method by considering convenable Lyapunov functional to guarantee the uniform asymptotic stability, the boundedness and the square integrability. (English) |
| Keyword:
|
asymptotic stability |
| Keyword:
|
square integrability |
| Keyword:
|
Lyapunov functional |
| Keyword:
|
non autonomous differential equation of third order with delay |
| MSC:
|
34C11 |
| MSC:
|
34C25 |
| MSC:
|
34D20 |
| MSC:
|
34D23 |
| DOI:
|
10.21136/MB.2024.0001-24 |
| . |
| Date available:
|
2025-05-20T11:57:38Z |
| Last updated:
|
2025-05-20 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152976 |
| . |
| Reference:
|
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| Reference:
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[2] Beldjerd, D., Remili, M.: Boundedness and square integrability of solutions of certain third-order differential equations.Math. Bohem. 143 (2018), 377-389. Zbl 1463.34151, MR 3895262, 10.21136/MB.2018.0029-17 |
| Reference:
|
[3] Graef, J. R., Beldjerd, D., Remili, M.: On stability, boundedness, and square integrability of solutions of certain third order neutral differential equations.Math. Bohem. 147 (2022), 285-299. Zbl 1524.34179, MR 4482306, 10.21136/MB.2021.0081-19 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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[8] Rahmane, M., Remili, M., Oudjedi, L. D.: Boundedness and square integrability in neutral differential systems of fourth order.Appl. Appl. Math. 14 (2019), 1215-1231. Zbl 1433.34053, MR 4044174 |
| Reference:
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[9] Remili, M., Oudjedi, L. D.: On asymptotic stability of solutions to third order nonlinear delay differential equation.Filomat 30 (2016), 3217-3226. Zbl 1474.34508, MR 3593070, 10.2298/FIL1612217R |
| Reference:
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| Reference:
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[11] Sun, Y., Zhao, Y.: Oscillation and asymptotic behavior of third-order nonlinear neutral delay differential equations with distributed deviating arguments.J. Appl. Anal. Comput. 8 (2018), 1796-1810. Zbl 1464.34089, MR 3884389, 10.11948/2018.1796 |
| Reference:
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[12] Tunc, C.: Stability and boundedness in differential systems of third order with variable delay.Proyecciones 35 (2016), 317-338. Zbl 1384.34082, MR 3552443, 10.4067/S0716-09172016000300008 |
| Reference:
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| . |
