Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients☆

By Soon-Mo Jung. 2006

144 citations recorded by the source corpus.

Abstract In this paper, using matrix method, we prove the Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients.

Subfields: Algebra and Number Theory, Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d4592ad7758b0131c13680f5c684f666e83c4c54

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The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Soon-Mo Jung
2. Ioan A. Rus

In Applied Mathematics

1. Soon-Mo Jung
2. Krzysztof Cieplinski
3. Janusz Brzdek
4. Ioan A. Rus
5. Mohammad Sal Moslehian
6. Akbar Zada
7. Dilian Yang

In Numerical Analysis

1. Soon-Mo Jung
2. Krzysztof Cieplinski
3. Ioan A. Rus

Citations in the corpus

• A fixed point approach to the stability of differential equations . (2010, background): “Recently, Miura, Miyajima and Takahasi also proved the Hyers-Ulam stability of linear differential equations of first order, y′(x) + g(x)y(x) = 0, where g(x) is a continuous function, while the author proved the Hyers-Ulam stability of linear differential equations of other type (see [7, 8, 9, 12, 1”