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Fatmi, Larbi, Remili, Moussadek, Rahmane, Mebrouk. (1401). On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay. هنرهای کاربردی, 14(1), 2169-2181. doi: 10.22075/ijnaa.2022.27944.3764
Larbi Fatmi; Moussadek Remili; Mebrouk Rahmane. "On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay". هنرهای کاربردی, 14, 1, 1401, 2169-2181. doi: 10.22075/ijnaa.2022.27944.3764
Fatmi, Larbi, Remili, Moussadek, Rahmane, Mebrouk. (1401). 'On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay', هنرهای کاربردی, 14(1), pp. 2169-2181. doi: 10.22075/ijnaa.2022.27944.3764
Fatmi, Larbi, Remili, Moussadek, Rahmane, Mebrouk. On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay. هنرهای کاربردی, 1401; 14(1): 2169-2181. doi: 10.22075/ijnaa.2022.27944.3764

On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay

International Journal of Nonlinear Analysis and Applications
مقاله 171، دوره 14، شماره 1، فروردین 2023، صفحه 2169-2181    اصل مقاله (385.88 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27944.3764
نویسندگان
Larbi Fatmi* 1؛ Moussadek Remili2؛ Mebrouk Rahmane1
1Laboratory of Mathematics, Modelisation and Applications (LaMMA), Mathematics and Computer Science Department, University Ahmed Draia of Adrar, Adrar, Algeria
2Department of Mathematics, University of Oran 1 Ahmed Ben Bella, 31000 Oran. Algeria
تاریخ دریافت: 06 مرداد 1401،  تاریخ بازنگری: 11 مهر 1401،  تاریخ پذیرش: 05 آذر 1401 
چکیده
This paper establishes sufficient conditions to ensure the stability and boundedness of zero solution and square integrability of solutions and their derivatives to neutral-type nonlinear differential equations of fourth order by constructing Lyapunov functionals.
کلیدواژه‌ها
stability؛ boundedness؛ square integrability؛ Lyapunov functional؛ neutral fourth-order differential equations؛ variable delay
مراجع

[1] G. Chena, O. van Gaansb and S. Verduyn Lunelc, Asymptotic behavior and stability of second order neutral delay differential equations, Indag. Math. 25 (2014), 405-–426
[2] T. Hara, On the asymptotic behavior of the solutions of some third and fourth order non- autonomous differential equations, Publ. RIMS, Kyoto Univ. 9 (1974), 649–673. .
[3] M. Rahmane and M. Remili, On stability and boundedness of solutions of certain non autonomous fourth-order delay differential equations, Acta Univ. Matthiae Belii Ser. Math. 23 (2015), 101–114.
[4] M. Rahmane, M. Remili and L. Oudjedi, Boundedness and square integrability in neutral differential systems of fourth order, Appl. Appl. Math. Int. J. 14 (2019), no. 2, 1215–1231.
[5] M. Remili and M. Rahmane, Stability and square integrability of solutions of nonlinear fourth order differential equations, Bull. Comput. Appl. Math 4 (2016), no. 1, 21–37.
[6] A.I. Sadek, On the stability of solutions of certain fourth order delay differential equations, Appl. Math. Comput. 148 (2004), no. 2, 587—597.
[7] C. Tun¸c, On the stability of solutions of non-autonomous differential equations of fourth order with delay, Funct. Differ. Equ. 17 (2010), no. 1-2, 195—212.

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