Investigation of the stability via shadowing property

DOI10.1155/2009/156167zbMath1185.39022OpenAlexW2075621751WikidataQ59248531 ScholiaQ59248531MaRDI QIDQ1035457

Se-Hyun Ku, Heejeong Koh, Sang Hyuk Lee

Publication date: 3 November 2009

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/117778

zbMATH Keywords

Banach spacesHyers-Ulam stabilitypseudo-orbitsnormed groupshadowing property (pseudo-orbit tracing property)stability problems for functional equations

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (3)

On some recent developments in Ulam's type stability ⋮ Multi-sensitivity, syndetical sensitivity and the asymptotic average- shadowing property for continuous semi-flows ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation

Cites Work

• On the stability of an \(n\)-dimensional cubic functional equation
• General stability of functional equations of linear type
• Locally expanding mappings and hyperbolicity
• The problem of S. M. Ulam for approximately multiplicative mappings
• On the stability of functional equations and a problem of Ulam
• On the stability of functional equations in Banach spaces
• Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
• Hyers-Ulam stability of functional equations in several variables
• On the stability of the linear transformation in Banach spaces
• Proprieta’ locali e approssimazione di operatori
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Remarks on the stability of functional equations

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