Hyers-Ulam stability of a class second differential equation \(y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) (Q523233)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Hyers-Ulam stability of a class second differential equation \(y(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) |
scientific article; zbMATH DE number 6706537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hyers-Ulam stability of a class second differential equation \(y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) |
scientific article; zbMATH DE number 6706537 |
Statements
Hyers-Ulam stability of a class second differential equation \(y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x))\) (English)
0 references
20 April 2017
0 references
By using a generalized fixed point theorem, the paper studies the Hyers-Ulam-Rassias stability and Hyers-Ulam stability for the class of second differential equations \[ y''(x)+p(x)y'(x)+q(x)y(x)=F(y(x)). \] In addition, by giving a counter-example, the authors show that the differential equation \[ y'(x)=F(x,y(x)) \] does not have on an infinite interval the Hyers-Ulam stability.
0 references
fixed point method
0 references
differential equation
0 references
Hyers-Ulam-Rassias stability
0 references
Hyers-Ulam stability
0 references
0 references
0 references
0 references
