Hyers-Ulam Stability of Some Differential Equations and Differential Operators
From MaRDI portal
Publication:5249879
DOI10.1007/978-1-4939-1286-5_14zbMath1320.34083OpenAlexW36499420MaRDI QIDQ5249879
Publication date: 12 May 2015
Published in: Handbook of Functional Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-1286-5_14
linear differential equationsHyers-Ulam stabilitydifferential operatorspartial differential equations
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Perturbations of ordinary differential equations (34D10) Linear ordinary differential equations and systems (34A30)
Related Items
Hyers-Ulam stability of first order linear differential equations of Carathéodory type and its application, Hyers-Ulam stability for second order linear differential equations of Carathéodory type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Laplace transform and Hyers-Ulam stability of linear differential equations
- On the Hyers-Ulam stability of the linear differential equation
- Hyers-Ulam stability of Euler's equation
- On the stability of the linear differential equation of higher order with constant coefficients
- Hyers-Ulam stability of a first order partial differential equation
- Ulam-Hyers stability for operatorial equations and inclusions via nonself operators
- On the quotient stability of a family of functional equations
- Hyers-Ulam stability of linear differential equations of second order
- Fixed point methods for the generalized stability of functional equations in a single variable
- Hyers-Ulam stability of linear differential equations of first order
- On some inequalities and stability results related to the exponential function
- A characterization of Hyers-Ulam stability of first order linear differential operators.
- Power series method and approximate linear differential equations of second order
- Comments on the core of the direct method for proving Hyers-Ulam stability of functional equations
- The Hyers--Ulam stability constants of first order linear differential operators
- On some recent developments in Ulam's type stability
- On the stability of the linear functional equation in a single variable on complete metric groups
- Hyers-Ulam stability of the linear differential operator with nonconstant coefficients
- Hyers-Ulam stability of linear differential equations of first order. II
- Hyers-Ulam stability of a system of first order linear differential equations with constant coefficients
- Hyers--Ulam--Rassias stability of a linear recurrence
- Hyers-Ulam stability of linear differential equations of first order. III
- The Hyers-Ulam stability of nonlinear recurrences
- On the stability of the linear transformation in Banach spaces
- ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy
- On the Stability of the Linear Mapping in Banach Spaces
- Hyers–Ulam stability of linear differential operator with constant coefficients
- Stability of functional equations in several variables
