Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
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Publication:1794892
DOI10.1515/dema-2018-0018zbMath1401.34096OpenAlexW2890824416MaRDI QIDQ1794892
Masakazu Onitsuka, Douglas R. Anderson
Publication date: 16 October 2018
Published in: Demonstratio Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/dema-2018-0018
Stability of solutions to ordinary differential equations (34D20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Dynamic equations on time scales or measure chains (34N05)
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Cites Work
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- Hyers-Ulam stability of first-order homogeneous linear differential equations with a real-valued coefficient
- The Ulam stability of first order linear dynamic equations on time scales
- Hyers-Ulam stability of linear differential equations of first order
- On some inequalities and stability results related to the exponential function
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- Approximately linear recurrences
- On some recent developments in Ulam's type stability
- Ulam-Hyers stability of dynamic equations on time scales via Picard operators
- Ulam stability of operators
- Hyers-Ulam stability of linear differential equations of first order. II
- Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients
- Stability of dynamical systems. On the role of monotonic and non-monotonic Lyapunov functions
- Hyers-Ulam stability of linear differential equations of first order. III
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of linear differential operator with constant coefficients
- Hyers-Ulam stability of Pielou logistic difference equation
- ON APPROXIMATE SOLUTIONS OF SOME DIFFERENCE EQUATIONS
- On the Stability of the Linear Functional Equation