دانشگاه سمنان

 آمار

تعداد نشریات21
تعداد شماره‌ها687
تعداد مقالات9,985
تعداد مشاهده مقاله70,959,140
تعداد دریافت فایل اصل مقاله62,423,306
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.

آمار
تعداد مشاهده مقاله: 17,828
تعداد دریافت فایل اصل مقاله: 12,127


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب