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

نویسندگان
Fatmi, Larbi ID 1
Rahmane, Mebrouk ID 2
Remili, Moussadek ID 3

1 Laboratory of Mathematics, Modelisation and Applications (LaMMA), Mathematics and Computer Science Department, University Ahmed Draia of Adrar, Adrar, Algeria

2 Laboratory of Mathematics, Modelisation and Applications (LaMMA), Mathematics and Computer Science Department, University Ahmed Draia of Adrar, Adrar, Algeria

3 Department of Mathematics, University of Oran 1 Ahmed Ben Bella, 31000 Oran. Algeria

doi
10.22075/ijnaa.2022.27944.3764
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