scholarly journals CRITERIA FOR STABILITY OF VOLTERRA DIFFERENCE EQUATIONS

2020 ◽  
Vol 12 (3) ◽  
pp. 29-33
Author(s):  
D.A. Komissarova ◽  
Keyword(s):  
Difference Equations ◽  
Volterra Difference Equations

scholarly journals Asymptotically ordinary linear Volterra difference equations with infinite delay

2020 ◽  
Vol 386 ◽  
pp. 125499
Author(s):  
Áron Fehér ◽  
Lőrinc Márton ◽  
Mihály Pituk
Keyword(s):  
Difference Equations ◽  
Infinite Delay ◽  
Volterra Difference Equations

scholarly journals Stability of the positive steady-state solutions of systems of nonlinear Volterra difference equations of population models with diffusion and infinite delay

2000 ◽  
Vol 23 (4) ◽  
pp. 261-270 ◽  
Author(s):  
B. Shi
Keyword(s):  
Steady State ◽  
Difference Equations ◽  
Infinite Delay ◽  
Steady State Solution ◽  
Population Models ◽  
Monotone Iterative ◽  
Positive Steady State ◽  
Infinite Delays ◽  
Steady State Solutions ◽  
Volterra Difference Equations

An open problem given by Kocic and Ladas in 1993 is generalized and considered. A sufficient condition is obtained for each solution to tend to the positive steady-state solution of the systems of nonlinear Volterra difference equations of population models with diffusion and infinite delays by using the method of lower and upper solutions and monotone iterative techniques.

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