𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A characterization of Hyers–Ulam stability of first order linear differential operators

✍ Scribed by Takeshi Miura; Shizuo Miyajima; Sin-Ei Takahasi

Book ID
108345319
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
202 KB
Volume
286
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Hyers–Ulam stability of linear different
Hyers–Ulam stability of linear differential equations of second order
✍ Yongjin Li; Yan Shen 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 304 KB

We prove the Hyers-Ulam stability of linear differential equations of second order. That is, if y is an approximate solution of the differential equation y + αy + βy = 0, then there exists an exact solution of the differential equation near to y.

Hyers–Ulam stability of linear different
Hyers–Ulam stability of linear differential operator with constant coefficients
✍ Takeshi Miura; Shizuo Miyajima; Sin–Ei Takahasi 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 132 KB

## Abstract Let __P__(__z__) be a polynomial of degree __n__ with complex coefficients and consider the __n__–th order linear differential operator __P__(__D__). We show that the equation __P__(__D__)__f__ = 0 has the Hyers–Ulam stability, if and only if the equation __P__(__z__) = 0 has no pure im