Hyers-Ulam stability of the delay equation \(y'(t)=\lambda y(t-\tau )\)
From MaRDI portal
Publication:624477
DOI10.1155/2010/372176zbMath1210.34108OpenAlexW1604541609WikidataQ58649832 ScholiaQ58649832MaRDI QIDQ624477
Publication date: 9 February 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2010/372176
Linear functional-differential equations (34K06) Perturbations of functional-differential equations (34K27)
Related Items (11)
Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces ⋮ On some recent developments in Ulam's type stability ⋮ Approximation of mixed-type functional equations in Menger PN-spaces ⋮ Ulam's type stability of impulsive ordinary differential equations ⋮ Hyers-Ulam stability of third order Euler's differential equations ⋮ Hyers-Ulam-Rassias stability of non-linear delay differential equations ⋮ Ulam-Hyers stability for a nonlinear Volterra integro-differential equation ⋮ Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type ⋮ Hyers-Ulam stability of linear functional differential equations ⋮ Hyers-Ulam stability and existence criteria for the solution of second-order fuzzy differential equations ⋮ A class of nonlinear differential equations with fractional integrable impulses
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the stability of functional equations
- A new approach to the stability of linear functional operators
- Transformations with bounded \(m\)-th differences
- Ulam's problem for approximate homomorphisms in connection with Bernoulli's differential equation
- A result of Tosio Aoki about a generalization of Hyers-Ulam stability of additive functions -- a question of priority
- Hyers-Ulam stability of linear differential equations of first order
- Hyers-Ulam stability of nonhomogeneous linear differential equations of second order
- On some inequalities and stability results related to the exponential function
- A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- On the stability of functional equations and a problem of Ulam
- Hyers-Ulam stability of linear differential equations of first order.
- Hyers-Ulam stability of functional equations in several variables
- Hyers-Ulam stability of linear differential equations of first order. II
- Hyers-Ulam stability of linear differential equations of first order. III
- Approximate isometries of the space of continuous functions
- Approximately isometric and multiplicative transformations on continuous function rings
- On the stability of the linear transformation in Banach spaces
- ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
- Stability of Isometries
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of linear differential operator with constant coefficients
- HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy
- Generalized Hyers-Ulam stability of Riccati differential equation
- Classes of transformations and bordering transformations
- Approximately Convex Functions
- On approximate isometries
- On the Stability of the Linear Functional Equation
- Approximate homomorphisms
- Stability of functional equations in several variables
This page was built for publication: Hyers-Ulam stability of the delay equation \(y'(t)=\lambda y(t-\tau )\)
