Recent Stability Results for Nonlinear Difference Equations

2000 ◽  
Author(s):  
Hassan Sedaghat
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Stability Results

scholarly journals Existence and Ulam stability for implicit fractional q-difference equations

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Saïd Abbas ◽  
Mouffak Benchohra ◽  
Nadjet Laledj ◽  
Yong Zhou
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Difference Equations ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Ulam Stability ◽  
Uniqueness Of Solutions ◽  
Stability Results ◽  
Rassias Stability

AbstractThis paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and uniqueness of solutions, next we prove that our problem is generalized Ulam–Hyers–Rassias stable. Two illustrative examples are given in the last section.

On the oscillation of third order nonlinear difference equations

2009 ◽  
Vol 32 (1) ◽  
pp. 189-203 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Said R. Grace ◽  
Patricia J. Y. Wong
Keyword(s):  
Difference Equations ◽  
Nonlinear Difference Equations ◽  
Third Order
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