Opuscula Math. 32, no. 1 (2012), 115-123

Opuscula Mathematica

A note on a fourth order discrete boundary value problem

Marek Galewski
Joanna Smejda

Abstract. Using variational methods we investigate the existence of solutions and their dependence on parameters for certain fourth order difference equations.

Keywords: discrete boundary value problem, variational method, coercivity, continuous dependence on parameters.

Mathematics Subject Classification: 39A10, 39A30.

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  • Marek Galewski
  • Technical University of Lodz, Institute of Mathematics, Wolczanska 215, 90-924 Lodz, Poland
  • Joanna Smejda
  • Lodz University, Faculty of Mathematics and Computer Science, Banacha 22, 90–238 Lodz, Poland
  • Received: 2011-01-04.
  • Revised: 2011-03-11.
  • Accepted: 2011-03-15.
Opuscula Mathematica - cover

Cite this article as:
Marek Galewski, Joanna Smejda, A note on a fourth order discrete boundary value problem, Opuscula Math. 32, no. 1 (2012), 115-123, http://dx.doi.org/10.7494/OpMath.2012.32.1.115

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