scholarly journals Growth and fluctuation in perturbed nonlinear Volterra equations

2021 ◽  
Vol 396 ◽  
pp. 125938
Author(s):  
John A.D. Appleby ◽  
Denis D. Patterson
Keyword(s):  
Volterra Equations ◽  
Nonlinear Volterra Equations

Eigenvalue techniques in nonlinear Volterra equations

2001 ◽  
Vol 47 (4) ◽  
pp. 2225-2236
Author(s):  
M.R. Arias ◽  
J.M.F. Castillo
Keyword(s):  
Volterra Equations ◽  
Nonlinear Volterra Equations

scholarly journals Stability of nonlinear Volterra equations

2017 ◽  
Vol 65 (3) ◽  
pp. 333-340
Author(s):  
P. H. A. Ngoc ◽  
L. T. Hieu
Keyword(s):  
Global Exponential Stability ◽  
Zero Solution ◽  
Volterra Equations ◽  
Time Varying ◽  
Bidirectional Associative Memory ◽  
Stability Bound ◽  
Novel Approach ◽  
Nonlinear Volterra Equations ◽  
Volterra Difference Equations ◽  
Explicit Criteria

AbstractUsing a novel approach, we present some new explicit criteria for global exponential stability of the zero solution of general nonlinear time-varying Volterra difference equations. Furthermore, an explicit stability bound for equations subject to nonlinear time-varying perturbations is given. Finally, the obtained results are used to study uniform attraction of equilibrium of discrete-time bidirectional associative memory (BAM) neural networks. Some illustrative examples are given.

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