Existence, Unicite et Multiplicite de Solutions Periodiques D'Equations Differentielles de Duffing Non-Lineaires Avec Dissipation

Nkashama, M. N.

Canadian journal of mathematics, Tome 39 (1987) no. 3, pp. 583-602

Résumé

Nous nous intéressons à l'existence, l'unicité et la multiplicité de solutions de l'équation différentielle forcée: 1.1 vérifiant les conditions périodiques 1.2 où e ∊ L 1(0, 2π), c ∊ R, c arbitraire, g:[0, 2π] × R → R satisfait les conditions de Carathéodory i.e.,g(·, x) est measurable pour tout x ∊ R, g(t, ·) est continu pour presque tout t ∊ [0, 2π].Le problème (1.1)-(1.2) a été étudié par plusieurs auteurs. Nous mentionerons les travaux [22], [18], [21], [20], [19], [7], [29], [25] et la bibliographie contenue dans ces articles.

Détail

DOI : 10.4153/CJM-1987-027-6

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