An existence and uniqueness result for periodic solution of \(2n\)-order differential equations.
The main result in this paper states the existence and uniqueness of a periodic solution to some \(2n\)th-order differential equation. Only even-order derivatives of the unknown function appear in the equation. The hypotheses of the theorem assure that a related displacement-type map is a homeomorphism.
scientific article; zbMATH DE number 1977933