Ulam's problem for approximate homomorphisms in connection with Bernoulli's differential equation

DOI10.1016/j.amc.2006.08.120zbMath1118.39014OpenAlexW2072590419WikidataQ115361859 ScholiaQ115361859MaRDI QIDQ884112

Themistocles M. Rassias, Jung, Soon-Mo

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.120

zbMATH Keywords

Hyers-Ulam stabilityUlam's problemBernoulli's differential equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (11)

Unnamed Item ⋮ Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Hyers-Ulam stability of a general linear partial differential equation ⋮ On some recent developments in Ulam's type stability ⋮ Hyers-Ulam stability of the delay equation \(y'(t)=\lambda y(t-\tau )\) ⋮ Hyers-Ulam stability of third order Euler's differential equations ⋮ An interview with Themistocles M. Rassias ⋮ Hyers–Ulam Stability for Differential Equations and Partial Differential Equations via Gronwall Lemma ⋮ Ulam-Hyers stability of a parabolic partial differential equation ⋮ On Hyers-Ulam-Rassias stability of a Volterra-Hammerstein functional integral equation ⋮ On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains

Cites Work

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• 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 linear differential equations of first order.
• ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy
• On the Stability of the Linear Functional Equation
• Approximate homomorphisms

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