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An approximation property of exponential functions

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Abstract

We solve the inhomogeneous linear first order differential equations of the form y′(x) − λy(x) = Σ ∞ m=0 a m (x − c)m, and prove an approximation property of exponential functions. More precisely, we prove the local Hyers-Ulam stability of linear first order differential equations of the form y′(x) = λy(x) in a special class of analytic functions.

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Authors and Affiliations

  1. Mathematics Section, College of Science and Technology, Hong-Ik University, 339-701, Chochiwon, Republic of Korea

    S. -M. Jung

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  1. S. -M. Jung
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Correspondence to S. -M. Jung.

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Jung, S.M. An approximation property of exponential functions. Acta Math Hung 124, 155–163 (2009). https://doi.org/10.1007/s10474-009-8167-1

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  • DOI: https://doi.org/10.1007/s10474-009-8167-1

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