Mean Almost Periodic Solutions to Some Stochastic Difference Equations

2011 ◽  
pp. 213-223 ◽  
Author(s):  
Paul H. Bezandry ◽  
Toka Diagana
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Stochastic Difference Equations

scholarly journals Existence of almost periodic solutions to some nonautonomous higher-order stochastic difference equations

2020 ◽  
Vol 7 (1) ◽  
pp. 72-80
Author(s):  
Paul H. Bezandry
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Difference Equations ◽  
Higher Order ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Stochastic Difference Equation ◽  
Stochastic Difference Equations

AbstractThe paper studies the existence of almost periodic solutions to some nonautonomous higher-order stochastic difference equation of the form:X\left( {t + n} \right) + \sum\limits_{r = 1}^{n - 1} {{A_r}\left( t \right)X\left( {t + r} \right) + {A_0}\left( t \right)X\left( t \right) = f\left( {t,X\left( t \right)} \right),}n ∈ 𝕑, by means of discrete dichotomy techniques.

scholarly journals Almost Periodic Solutions of Nonlinear Volterra Difference Equations with Unbounded Delay

Axioms ◽  
2015 ◽  
Vol 4 (3) ◽  
pp. 345-364
Author(s):  
Yoshihiro Hamaya ◽  
Tomomi Itokazu ◽  
Kaori Saito
Keyword(s):  
Periodic Solutions ◽  
Difference Equations ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Unbounded Delay ◽  
Volterra Difference Equations
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