scholarly journals Hyers-Ulam stability for C1 solution of series-like iterative equation with variable coefficients

ScienceAsia ◽  
2020 ◽  
Vol 46 (2) ◽  
pp. 240
Author(s):  
Chao Xia ◽  
Xi Wang
Keyword(s):  
Variable Coefficients ◽  
Ulam Stability ◽  
Iterative Equation

scholarly journals Hyers-Ulam Stability of the First-Order Matrix Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Soon-Mo Jung
Keyword(s):  
Differential Equations ◽  
Variable Coefficients ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Order Linear ◽  
First Order ◽  
Matrix Differential Equations ◽  
Homogeneous Matrix ◽  
Linear Differential ◽  
Matrix Differential

We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equationsy→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of thenth order linear differential equations with variable coefficients.

scholarly journals Hyers–Ulam stability for a nonlinear iterative equation

2002 ◽  
Vol 93 (1) ◽  
pp. 1-9 ◽  
Author(s):  
Bing Xu ◽  
Weinian Zhang
Keyword(s):  
Ulam Stability ◽  
Iterative Equation

scholarly journals Hyers-Ulam Stability of Iterative Equation in the Class of Lipschitz Functions

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Chao Xia ◽  
Wei Song
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Functional Equations ◽  
Convergent Sequence ◽  
Lipschitz Functions ◽  
Ulam Stability ◽  
Iterative Equation ◽  
Iterative Equations ◽  
Uniformly Convergent ◽  
Sequence Of Functions

Hyers-Ulam stability is a basic sense of stability for functional equations. In the present paper we discuss the Hyers-Ulam stability of a kind of iterative equations in the class of Lipschitz functions. By the construction of a uniformly convergent sequence of functions we prove that, for every approximate solution of such an equation, there exists an exact solution near it.

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