Stability of the Banach space valued Chebyshev differential equation

DOI10.1016/j.aml.2012.03.012zbMath1257.34043OpenAlexW1965280643WikidataQ115360867 ScholiaQ115360867MaRDI QIDQ712654

Takahiro Hayata, Sin-Ei Takahasi, Takeshi Miura, Kôtarô Tanahashi

Publication date: 17 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.03.012

zbMATH Keywords

Hyers-Ulam stabilityexponential functionsChebyshev differential equationRassias stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Linear differential equations in abstract spaces (34G10)

Related Items (5)

Maxwell–Eshelby relation in Cosserat elasticity theory ⋮ The Ulam stability of first order linear dynamic equations on time scales ⋮ On the Ulam stability of a class of Banach space valued linear differential equations of second order ⋮ A general method for the Ulam stability of linear differential equations ⋮ Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order nonlinear dynamic equations

Cites Work

• Hyers-Ulam-Rassias stability of functional equations in nonlinear analysis
• On the stability of functional equations
• A note on stability of an operator linear equation of the second order
• Approximation of analytic functions by Chebyshev functions
• On stability of additive mappings
• On some inequalities and stability results related to the exponential function
• A characterization of Hyers-Ulam stability of first order linear differential operators.
• Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients
• On the stability of the linear transformation in Banach spaces
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• Hyers–Ulam stability of linear differential operator with constant coefficients
• The stability of the exponential equation
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms
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