Opuscula Math. 34, no. 4 (2014), 747-761

Opuscula Mathematica

Existence of three solutions for perturbed nonlinear difference equations

Shapour Heidarkhani
Mohsen Khaleghi Moghadam

Abstract. Using critical point theory, we study the existence of at least three solutions for perturbed nonlinear difference equations with discrete boundary-value condition depending on two positive parameters.

Keywords: nonlinear difference equations, discrete boundary value problem, three solutions, critical point theory, variational methods.

Mathematics Subject Classification: 39A05, 34B15.

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  • Shapour Heidarkhani
  • Razi University, Faculty of Sciences, Department of Mathematics, 67149 Kermanshah, Iran
  • Mohsen Khaleghi Moghadam
  • Agricultural and Natural Source University, Department of Basic Science, Sari, Iran
  • Received: 2013-10-20.
  • Revised: 2013-12-20.
  • Accepted: 2013-12-20.
Opuscula Mathematica - cover

Cite this article as:
Shapour Heidarkhani, Mohsen Khaleghi Moghadam, Existence of three solutions for perturbed nonlinear difference equations, Opuscula Math. 34, no. 4 (2014), 747-761, http://dx.doi.org/10.7494/OpMath.2014.34.4.747

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