ON THE HYERS-ULAM STABILITY OF THE BANACH SPACE-VALUED DIFFERENTIAL EQUATION y'=λy

By Sin-Ei Takahasi, Takeshi Miura, S. Miyajima. 2002

215 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/e911650c146f143a56f4467f3169c5f6e8888356

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Soon-Mo Jung
2. S. Miyajima
3. Sin-Ei Takahasi
4. Takeshi Miura
5. E. Biçer
6. Cemil Tunç
7. Krzysztof Cieplinski
8. Akbar Zada

In Geometry and Topology

1. Soon-Mo Jung
2. S. Miyajima
3. Sin-Ei Takahasi
4. Takeshi Miura
5. E. Biçer
6. Cemil Tunç

Citations in the corpus

• Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients☆ (2006, unknown): “By (13), we have y′(t) = A y(t) + b(t) + v(t) (17) for all t ∈ R.”
• Hyers-Ulam-Rassias Stability for a First Order Functional Differential Equation (2015, background): “Since then, the stability problems of various functional equations have been investigated by many authors (see [1-17]).”
• Hyers–Ulam stability of linear differential operator with constant coefficients (2003, methodology): “In [7] we generalized this result to the case of the complex Banach space valued differential equation y′ = λy.”
• A fixed point approach to the stability of differential equations . (2010, background): “This result of Alsina and Ger has been generalized by Takahasi, Miura and Miyajima: They proved in [17] that the Hyers-Ulam stability holds for the Banach space valued differential equation y′(x) = λy(x) (see also [11]).”