nonlinear integrodifferential equation
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scholarly journals " The set of solutions to a nonlinear integrodifferential equation in N variables"

2019 ◽  
Vol 20 (1) ◽  
pp. 255-270
Author(s):  
Le Thi Phuong Ngoc ◽  
◽  
Huynh Thi Hoang Dung ◽  
Nguyen Thanh Long ◽  
◽  
...  
Keyword(s):  
Integrodifferential Equation ◽  
Nonlinear Integrodifferential Equation

scholarly journals Asymptotic stability of nonlinear integrodifferential equation

2018 ◽  
Vol 7 (2) ◽  
pp. 49
Author(s):  
Prebo Jackreece ◽  
Stephen Aniaku
Keyword(s):  
Dynamical System ◽  
Asymptotic Stability ◽  
Differential Equations ◽  
Integrodifferential Equation ◽  
Nonlinear Dynamical System ◽  
Zero Solution ◽  
Lyapunov Functionals ◽  
Nonlinear Dynamical ◽  
Nonlinear Integrodifferential Equation

The investigation of stability for nonlinear dynamical system often related to the construction of Lyapunov functionals. We employ Lyapunov functionals to the system of nonlinear Volterra integro-differential equations of the form  and obtain conditions for the asymptotic stability of the zero solution. Also, we give examples to illustrate the obtained results.

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