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Invariance of Hyers-Ulam stability of linear differential equations and its applications
- Authors
- Choi, Ginkyu; Jung, Soon-Mo
- Issue Date
- Sep-2015
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Hyers-Ulam stability; generalized Hyers-Ulam stability; linear differential equation; Cauchy-Euler equation; approximation
- Citation
- ADVANCES IN DIFFERENCE EQUATIONS, pp.1 - 14
- Journal Title
- ADVANCES IN DIFFERENCE EQUATIONS
- Start Page
- 1
- End Page
- 14
- ISSN
- 1687-1847
- Abstract
- We prove that the generalized Hyers-Ulam stability of linear differential equations of nth order (defined on I) is invariant under any monotone one-to-one correspondence iota : I -> J which is n times continuously differentiable. Moreover, using this result, we investigate the generalized Hyers-Ulam stability of the linear differential equation of second order and the Cauchy-Euler equation.
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Related Researcher
- Choi, Gin kyu
- Science & Technology (Department of Electronic & Electrical Convergence Engineering)