Oscillations of linear integro-differential equations (Q1767425)
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: Oscillations of linear integro-differential equations |
scientific article; zbMATH DE number 2143659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillations of linear integro-differential equations |
scientific article; zbMATH DE number 2143659 |
Statements
Oscillations of linear integro-differential equations (English)
0 references
11 March 2005
0 references
The authors consider the linear integro-differential equation of the type \[ \dot x(t) +\int_0^t x(t-s)dr_s(t,s)\;\;t\geq 0 \] where the function \(r: [0, \infty)^2\to [0, \infty)\) is increasing with respect to \(s\leq t\). Sufficient conditions which guarantee that this equation cannot have a positive solution are established.
0 references
linear integro-differential equation
0 references
oscillation
0 references
positive solution
0 references
