Hyers-Ulam stability of linear differential equations of second order
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Publication:847317
DOI10.1016/j.aml.2009.09.020zbMath1188.34069OpenAlexW2078055801MaRDI QIDQ847317
Publication date: 12 February 2010
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2009.09.020
Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Linear ordinary differential equations and systems (34A30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Hyers-Ulam stability of linear differential equations of first order
- On some inequalities and stability results related to the exponential function
- A generalization of the Hyers-Ulam-Rassias stability of Jensen's equation
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- On the Hyers-Ulam stability of real continuous function valued differentiable map
- On the stability of the linear mapping in Banach modules
- The Hyers--Ulam stability constants of first order linear differential operators
- Hyers-Ulam stability of linear differential equations of first order. II
- Hyers-Ulam stability of linear differential equations of first order. III
- ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
- On the Stability of the Linear Mapping in Banach Spaces
- On the Stability of the Linear Functional Equation
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