An approximation approach to eigenvalue intervals for singular boundary value problems with sign changing nonlinearities

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Abstract

This paper presents new existence results for the singular boundary value problem{-u = g(t,u) + lambda h(t,u), t epsilon (0,1) u(0) = 0 = u(1).In particular our nonlinearity may be singular at t = 0, 1 and u = 0 and is allowed to change sign. Existence in this paper will be established by obtaining a sequence of upper and lower solutions which in turn will generate a sequence of approximate solutions.
Original languageEnglish (Ireland)
Number of pages18
JournalMATHEMATICAL INEQUALITIES & APPLICATIONS
Volume11
Publication statusPublished - 1 Jan 2008

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Lu, H,O'Regan, D,Agarwal, RP

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