A Global Bifurcation Theorem for Convex-Valued Differential Inclusions | Zendy

Stanisław Domachowski | Zendy; Jacek Gulgowski | Zendy

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A Global Bifurcation Theorem for Convex-Valued Differential Inclusions

Author(s) -

Stanisław Domachowski,

Jacek Gulgowski

Publication year - 2004

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/1198

Subject(s) - differential inclusion , bifurcation , mathematics , regular polygon , differential (mechanical device) , danskin's theorem , pure mathematics , mathematical analysis , brouwer fixed point theorem , fixed point theorem , physics , geometry , nonlinear system , quantum mechanics , thermodynamics

In this paper we prove a global bifurcation theorem for convex-valued completely continuous maps. Basing on this theorem we prove an existence theorem for convex-valued differential inclusions with Sturm-Liouville boundary conditions u′′(t) ∈ φ(t, u(t), u′(t)) for a.e. t ∈ (a, b)

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