Generalized linear differential equation using Hyers-Ulam stability approach

DOI10.3934/math.2021096zbMath1484.34059OpenAlexW3107073852MaRDI QIDQ2131562

Vediyappan Govindan, Chee Peng Lim, R. Vadivel, N. Gunasekaran, Bundit Unyong, S. Bowmiya, Praveen Agarwal, Grienggrai Rajchakit

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021096

zbMATH Keywords

Hyers-Ulam stabilitylinear differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items (7)

Hyers-Ulam stability for differential systems with \(2\times 2\) constant coefficient matrix ⋮ On a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviors ⋮ Hermite-Hadamard-type inequalities for geometrically \(r\)-convex functions in terms of Stolarsky's mean with applications to means ⋮ Qualitative analyses of fractional integrodifferential equations with a variable order under the Mittag-Leffler power law ⋮ Analysis of fractional integro causal evolution impulsive systems on time scales ⋮ Equivalence for various forms of quadratic functional equations and their generalized Hyers-Ulam-Rassias stability ⋮ A new approach to Hyers-Ulam stability of \(r\)-variable quadratic functional equations

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