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A characterization of Hyers-Ulam stability of first order linear differential operators |
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| Authors: | Takeshi Miura Shizuo Miyajima |
| Institution: | a Department of Basic Technology, Applied Mathematics and Physics, Yamagata University, Yonezawa 992-8510, Japan b Department of Mathematics, Faculty of Science, Science University of Tokyo, Shinjuku-ku Wakamiya 26, Tokyo 162-8601, Japan |
| Abstract: | Let X be a complex Banach space and  a continuous function. Let  be the linear differential operator defined by Thu=u′+hu. We give a necessary and sufficient condition in order that the operator Th has the Hyers-Ulam stability. |
| Keywords: | Exponential functions Hyers-Ulam stability |
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