Advances in Difference Equations (Jan 2009)

Existence of Solutions for Nonlinear Four-Point <inline-formula><graphic file="1687-1847-2009-123565-i1.gif"/></inline-formula>-Laplacian Boundary Value Problems on Time Scales

  • Topal SGulsan,
  • Ozen OBatit,
  • Cetin Erbil

Journal volume & issue
Vol. 2009, no. 1
p. 123565

Abstract

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We are concerned with proving the existence of positive solutions of a nonlinear second-order four-point boundary value problem with a -Laplacian operator on time scales. The proofs are based on the fixed point theorems concerning cones in a Banach space. Existence result for -Laplacian boundary value problem is also given by the monotone method.