Asymptotic Behavior of Difference Equations

1999 ◽  
pp. 315-364
Author(s):  
Saber N. Elaydi
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations

scholarly journals A family of nonlinear difference equations: Existence, uniqueness, and asymptotic behavior of positive solutions

2015 ◽  
Vol 193 ◽  
pp. 39-55 ◽  
Author(s):  
Saud M. Alsulami ◽  
Paul Nevai ◽  
József Szabados ◽  
Walter Van Assche
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Difference Equations ◽  
Nonlinear Difference Equations

Asymptotic behavior of mild solutions for nonlinear fractional difference equations

2018 ◽  
Vol 21 (2) ◽  
pp. 527-551 ◽  
Author(s):  
Zhinan Xia ◽  
Dingjiang Wang
Keyword(s):  
Fixed Point ◽  
Asymptotic Behavior ◽  
Difference Equations ◽  
Mild Solutions ◽  
Contraction Mapping Principle ◽  
Fractional Difference ◽  
Alternative Theorem ◽  
Fractional Difference Equations ◽  
Banach Contraction ◽  
Asymptotically Periodic

AbstractIn this paper, we establish some sufficient criteria for the existence, uniqueness of discrete weighted pseudo asymptotically periodic mild solutions and asymptotic behavior for nonlinear fractional difference equations in Banach space, where the nonlinear perturbation is Lipschitz type, or non-Lipschitz type. The results are a consequence of application of different fixed point theorems, namely, the Banach contraction mapping principle, Leray-Schauder alternative theorem and Matkowski’s fixed point technique.

Sign in / Sign up

Export Citation Format

Share Document