A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay
(2019). A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay. EKB Journal Management System, 48(2), 91-109. doi: 10.21608/aunj.2019.221102
. "A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay". EKB Journal Management System, 48, 2, 2019, 91-109. doi: 10.21608/aunj.2019.221102
(2019). 'A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay', EKB Journal Management System, 48(2), pp. 91-109. doi: 10.21608/aunj.2019.221102
A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay. EKB Journal Management System, 2019; 48(2): 91-109. doi: 10.21608/aunj.2019.221102

A Stability Result for the Solutions of a Certain Fourth-Order Vector Differential Equation with Delay

Assiut University Journal of Multidisciplinary Scientific Research
Volume 48, Issue 2, December 2019, Page 91-109  XML PDF (602.21 K)
Document Type: Novel Research Articles
DOI: 10.21608/aunj.2019.221102
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Abstract
In this paper, by constructing an appropriate Lyapunov functional, we establish sufficient conditions for the uniform stability of the zero solution for nonlinear fourth-order vector delay differential equation of the type:
  The obtained results included improve some well-known results existing in the related literature. An example is given to illustrate the truthfulness of our main result.
 
Keywords
Uniform stability; Lyapunov functional; Delay vector differential equation of fourth-order
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