Periodic solutions of pendulum-type equations (Q1086411)
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: Periodic solutions of pendulum-type equations |
scientific article; zbMATH DE number 3983665
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions of pendulum-type equations |
scientific article; zbMATH DE number 3983665 |
Statements
Periodic solutions of pendulum-type equations (English)
0 references
1985
0 references
The authors consider the equation \[ x''=g(t,x)-p(t),\quad x(0)=x(2,\pi),\quad x'(0)=x'(2\pi), \] where g(t,x) and p(t) are both periodic in t with period \(2\pi\). They then provide sufficient conditions for the equation to have at least one solution of period \(2\pi\).
0 references
second order differential equation
0 references
0 references
0 references
0 references
