A Cauchy-Euler type factorization of operators

DOI10.3836/tjm/1233844065zbMath1181.47015OpenAlexW1982220286MaRDI QIDQ1012446

Takeshi Miura, Sin-Ei Takahasi, Hiroyuki Takagi, Hirokazu Oka

Publication date: 21 April 2009

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1233844065

zbMATH Keywords

Hyers-Ulam stabilityCauchy-Euler type factorizationcommutative algebra without order

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Stability, separation, extension, and related topics for functional equations (39B82) General theory of ordinary differential operators (47E05) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

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Cites Work

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• On some inequalities and stability results related to the exponential function
• Comparison principles for thep-Laplacian on nonlinear networks
• Hyers–Ulam stability of linear differential operator with constant coefficients
• On the Stability of the Linear Functional Equation