On the stability of the first-order linear recurrence in topological vector spaces

DOI10.1016/j.na.2010.06.011zbMath1201.39014arXiv1006.1940OpenAlexW2114602158MaRDI QIDQ992813

Dorian Popa, Mohammad Sal Moslehian

Publication date: 10 September 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.1940

zbMATH Keywords

locally convex spacestability of functional equationsfirst-order linear recurrencesequentially complete topological vector spaces

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (7)

Best constant in Hyers-Ulam stability of first-order homogeneous linear differential equations with a periodic coefficient ⋮ Best constant for Ulam stability of Hill's equations ⋮ Stability in generalized functions ⋮ Some stability results related to some fixed point theorems ⋮ Hyers-Ulam stability of the linear differential operator with nonconstant coefficients ⋮ Ulam stability of a linear difference equation in locally convex spaces ⋮ Hyers-Ulam stability of first-order nonhomogeneous linear difference equations with a constant stepsize

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General stability of functional equations of linear type
• Note on nonstability of the linear recurrence
• Stability of functional equations in single variable.
• Shadowing in dynamical systems
• Hyers-Ulam stability of functional equations in several variables
• On the stability of the quadratic functional equation in topological spaces
• Ternary derivations, stability and physical aspects
• Hyers-Ulam stability of the linear recurrence with constant coefficients
• Hyers--Ulam--Rassias stability of a linear recurrence
• The Hyers-Ulam stability of nonlinear recurrences
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation

This page was built for publication: On the stability of the first-order linear recurrence in topological vector spaces