Multiple positive solutions for singular problems with mixed boundary data and derivative dependence

  • Authors:

  • Baoqiang Yan;Donal O'Regan;Ravi P. Agarwal

  • Affiliations:

  • Department of Mathematics, Shandong Normal University, Ji-nan, 250014, China;Department of Mathematics, National University of Ireland, Galway, Ireland;Department of Mathematical Science, Florida Institute of Technology, 150 W University Blvd, Melbourne, FL 32901, United States

  • Venue:
  • Mathematical and Computer Modelling: An International Journal
  • Year:
  • 2007

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Abstract

The existence of at least two positive solutions is presented for the singular second-order boundary value problems {1p(t)(p(t)x^'(t))^'+@F(t)f(t,x(t),p(t)x^'(t))=0,00p(t)x^'(t)=0,x(1)=0 using the fixed point index, where @!"0^11p(r)dr=+~ and f may be singular at x=0 and px^'=0. The solutions we construct may be unbounded.