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

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  • Ruyun Ma
  • Jiemei Li

Abstract

We study the global bifurcation of the differential inclusion of the form , where is a “set-valued representation†of a function with jump discontinuities along the line segment . The proof relies on a Sturm-Liouville version of Rabinowitz's bifurcation theorem and an approximation procedure.

Suggested Citation

  • Ruyun Ma & Jiemei Li, 2009. "Global Bifurcation for Second-Order Neumann Problem with a Set-Valued Term," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-16, November.
    • Handle: RePEc:hin:jnijde:373851
    DOI: 10.1155/2009/373851
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