The Hyers–Ulam and Ger Type Stabilities of the First Order Linear Differential Equations

Takeshi Miura () and Go Hirasawa ()
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Takeshi Miura: Yamagata University
Go Hirasawa: Ibaraki University

Chapter Chapter 15 in Functional Equations in Mathematical Analysis, 2011, pp 191-199 from Springer

Abstract: Abstract In this paper, we show a recent development of the Hyers–Ulam stability and Ger type stability of the first order linear differential equation $$y + py + q = 0$$ for holomorphic functions on convex open sets of the complex number field and continuously differentiable functions on open intervals of the real number field.

Keywords: Exponential functions; Hyers–Ulam stability; Ger type stability (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_15

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DOI: 10.1007/978-1-4614-0055-4_15

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