Periodic solutions of nonautonomous ordinary differential equations of higher order. (English. Russian original) Zbl 0936.34033
Differ. Equations 35, No. 1, 71-77 (1999); translation from Differ. Uravn. 35, No. 1, 72-78 (1999).
The equation \(u^{(n)}= p(t)u+ q(t)\), \(n\geq 2\), where \(p\), \(q\) are \(\omega\)-periodic integral functions (over \([0,\omega]\)), is studied itself and under a general nonlinear perturbation for obtaining existence and uniqueness criteria of \(\omega\)-periodic solutions. The results slightly differ from those quoted among the references.
Reviewer: J.Andres (Olomouc)
MSC:
| 34C25 | Periodic solutions to ordinary differential equations |
