Fourier Transforms and Ulam Stabilities of Linear Differential Equations

Murali Ramdoss () and Ponmana Selvan Arumugam ()
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Murali Ramdoss: Sacred Heart College (Autonomous), PG and Research Department of Mathematics
Ponmana Selvan Arumugam: Sacred Heart College (Autonomous), PG and Research Department of Mathematics

A chapter in Frontiers in Functional Equations and Analytic Inequalities, 2019, pp 195-217 from Springer

Abstract: Abstract The purpose of this paper is to study the Hyers–Ulam stability and Generalized Hyers–Ulam stability of the general Linear Differential Equations of first order and second order with constant coefficients using Fourier Transform method. Moreover, the Hyers–Ulam stability constants of these differential equations are obtained. Some examples are given to illustrate the main results.

Keywords: Hyers–Ulam stability; Generalized Hyers–Ulam stability; Linear differential equation; Fourier transform method; 35B35; 34K20; 26D10; 44A10; 39B82 (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-28950-8_12

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DOI: 10.1007/978-3-030-28950-8_12

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