A General Method for the Ulam Stability of Linear Differential Equations

A General Method for the Ulam Stability of Linear Differential Equations

This paper deals with the Ulam stability of linear differential equations by using the method of variation of parameters, which provides a unified method to study the Ulam stability problem of linear differential equations of n -th order with constant and nonconstant coefficients. As an application...

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Veröffentlicht in:Bulletin of the Malaysian Mathematical Sciences Society 2019-11, Vol.42 (6), p.3187-3211
Hauptverfasser: Shen, Yonghong, Li, Yongjin
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Applications of Mathematics
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Stability
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description This paper deals with the Ulam stability of linear differential equations by using the method of variation of parameters, which provides a unified method to study the Ulam stability problem of linear differential equations of n -th order with constant and nonconstant coefficients. As an application of the main results, we also obtain the Hyers–Ulam stability of the Cauchy–Euler differential equations of second order, third order and n -th order. Our results make up to some deficiencies in the relevant literature.
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subjects Applications of Mathematics
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Stability
title A General Method for the Ulam Stability of Linear Differential Equations
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