Frequency methods in the theory of bounded solutions of nonlinear \(n\)th-order differential equations (existence, almost periodicity, and stability) (Q1760437)
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: Frequency methods in the theory of bounded solutions of nonlinear \(n\)th-order differential equations (existence, almost periodicity, and stability) |
scientific article; zbMATH DE number 6105627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Frequency methods in the theory of bounded solutions of nonlinear \(n\)th-order differential equations (existence, almost periodicity, and stability) |
scientific article; zbMATH DE number 6105627 |
Statements
Frequency methods in the theory of bounded solutions of nonlinear \(n\)th-order differential equations (existence, almost periodicity, and stability) (English)
0 references
14 November 2012
0 references
The author obtains new conditions for the existence of bounded solutions of higher-order non-linear differential equations. The classical contraction mapping principle and A. N. Tikhonov's fixed-point principle are used in the proofs of existence and uniqueness theorems. Stability results of a bounded solution are derived from results of M. A. Krasnosel'skii and A. V. Pokrovskii. Results in \(L_2\)- and \(L_\infty\)-theories are explicitly given.
0 references
frequency methods
0 references
bounded solutions of nonlinear differential equations
0 references
existence
0 references
almost periodicity
0 references
stability
0 references
