Global bifurcation theorem for a class of boundary conditions for ordinary differential equations of second order | Zendy

Gulgowski Jacek | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Global bifurcation theorem for a class of boundary conditions for ordinary differential equations of second order

Author(s) -

Gulgowski Jacek

Publication year - 2005

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310248

Subject(s) - mathematics , bifurcation , class (philosophy) , ordinary differential equation , order (exchange) , boundary value problem , image (mathematics) , mathematical analysis , boundary (topology) , pure mathematics , differential equation , discrete mathematics , nonlinear system , physics , finance , quantum mechanics , artificial intelligence , computer science , economics

In this paper we deal with boundary value problemswhere l : C 1 ([ a, b ], ℝ k ) → ℝ k × ℝ k is continuous, μ ≤ 0 and φ is a Caratheodory map. We define the class S of maps l , for which a global bifurcation theorem holds for the problem (+), with φ ( t, x, y, λ ) = λ (| x 1 |, …, | x k |) + o (| x | + | y |). We show that the class S contains Sturm‐Liouville boundary conditions. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research