Existence of Solutions for Nonlinear Four-Point p-Laplacian Boundary Value Problems on Time Scales

نویسندگان

  • S. Gulsan Topal
  • O. Batit Ozen
  • Erbil Cetin
  • Alberto Cabada
چکیده

Let T be any time scale such that 0, 1 be subset of T. The concept of dynamic equations on time scales can build bridges between differential and difference equations. This concept not only gives us unified approach to study the boundary value problems on discrete intervals with uniform step size and real intervals but also gives an extended approach to study on discrete case with non uniform step size or combination of real and discrete intervals. Some basic definitions and theorems on time scales can be found in 1, 2 . In this paper, we study the existence of positive solutions for the following nonlinear four-point boundary value problem with a p-Laplacian operator:

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تاریخ انتشار 2009