International Journal of Difference Equations

  • Year: 2007
  • Volume: 2
  • Issue: 1

Differentiation and differences for solutions of nonlocal boundary value problems for second order difference equations

  • Author:
  • M. Benchohra1, S. Hamani1, J. Henderson2, S. K. Ntouyas3, A. Ouahab1
  • Total Page Count: 11
  • DOI:
  • Page Number: 37 to 47

1Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP89, 22000, Sidi Bel Abbès, Algérie. E-mail: benchohra@yahoo.com, hamani_samira@yahoo.fr, agh_ouahab@yahoo.fr

2Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA. E-mail: JohnnyHenderson@baylor.edu

3Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece. E-mail: sntouyas@uoi.gr

AMS subject classification: 39A10, 34B10.

Abstract

Solutions of the difference equation w(m ⩲ 2) = f (m, w(m), w(m ⩲ 1)) satisfying w(m1) − w(m2) = w1, w(m3) − w(m4) = w2, mi ∈ ℤ, i = 1, 2, 3, 4, and w1, w2 ∈ ℝ, are differentiated with respect to w1 and w2. In addition, differences of solutions with respect to m1, m2, m3 and m4 are considered.

Keywords

Difference equation, nonlocal, boundary value problem.