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Hyers-Ulam-Rassias stability of the Banach space valued linear differential equations y ' = lambda y
- Authors
- Miura, T; Jung, SM; Takahasi, SE
- Issue Date
- Nov-2004
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- Hyers-Ulam-Rassias stability; differential equation
- Citation
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.41, no.6, pp.995 - 1005
- Journal Title
- JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 41
- Number
- 6
- Start Page
- 995
- End Page
- 1005
- ISSN
- 0304-9914
- Abstract
- The aim of this paper is to prove the stability in the sense of Hyers-Ulam-Rassias of the Banach space valued differential equation y' = lambday, where lambda is a complex constant. That is, suppose f is a Banach space valued strongly differentiable function on an open interval. If f is an approximate solution of the equation y' = lambday, then there exists an exact solution of the equation near to f.
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