Fiche du document
1989
Copyright PERSEE 2003-2023. Works reproduced on the PERSEE website are protected by the general rules of the Code of Intellectual Property. For strictly private, scientific or teaching purposes excluding all commercial use, reproduction and communication to the public of this document is permitted on condition that its origin and copyright are clearly mentionned.
Sujets proches
Natural science Sciences Science of science Finiteness Finity Finitude Equations, Differential Boundary conditions (Differential equations) AprioriCiter ce document
Bernadette Ermens et al., « Higher order nonlinear boundary value problems with finitely many solutions », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1989.57817
Métriques
Partage / Export
Résumé
A class of boundary conditions for higher order analytic ordinary differential equations is introduced for which the existence of some a priori bounds for the possible solutions implies the finiteness of the set of solutions. Applications are given to nonresonant and to resonant boundary value problems.