Best constant for Ulam stability of Hill's equations
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Publication:2208969
DOI10.1016/j.bulsci.2020.102888zbMath1457.34091OpenAlexW3039002027MaRDI QIDQ2208969
Ryuma Fukutaka, Masakazu Onitsuka
Publication date: 28 October 2020
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2020.102888
best constantHill's equationperiodic coefficientUlam stabilitysecond-order linear differential equation
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (12)
Conditional Ulam stability and its application to von Bertalanffy growth model ⋮ Hyers-Ulam stability for differential systems with \(2\times 2\) constant coefficient matrix ⋮ Parameterized shadowing for nonautonomous dynamics ⋮ Characterization of Ulam-Hyers stability of linear differential equations with periodic coefficients ⋮ Stability of a general functional equation in \(m\)-Banach spaces ⋮ Hyers-Ulam stability for a type of discrete Hill equation ⋮ Hyers-Ulam-Rassias stability for nonautonomous dynamics ⋮ On perturbations of two general equations in several variables ⋮ On the generalized Hyers-Ulam stability of a functional equation and its consequences ⋮ Hyers-Ulam stability for a class of perturbed Hill's equations ⋮ Ulam stability of functional equations in 2-Banach spaces via the fixed point method ⋮ Hyers-Ulam stability for second order linear differential equations of Carathéodory type
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