Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term

Joint Authors

Ma, Ruyun
Li, Jiemei

Source

International Journal of Differential Equations

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-11-24

Country of Publication

Egypt

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

We study the global bifurcation of the differential inclusion of the form −(ku′)′+g(⋅,u)∈μF(⋅,u), u′(0)=0=u′(1), where F is a “set-valued representation” of a function with jump discontinuities along the line segment [0,1]×{0}.

The proof relies on a Sturm-Liouville version of Rabinowitz's bifurcation theorem and an approximation procedure.

American Psychological Association (APA)

Ma, Ruyun& Li, Jiemei. 2009. Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term. International Journal of Differential Equations،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-466965

Modern Language Association (MLA)

Ma, Ruyun& Li, Jiemei. Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term. International Journal of Differential Equations No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-466965

American Medical Association (AMA)

Ma, Ruyun& Li, Jiemei. Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term. International Journal of Differential Equations. 2009. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-466965

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-466965