Opuscula Mathematica
Opuscula Math. 34, no. 4 (2014), 851-870

On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian

Joanna Smejda
Renata Wieteska
Abstract. In this paper we study the existence and the nonexistence of solutions for the boundary value problems of a class of nonlinear second-order discrete equations depending on a parameter. Variational (the mountain pass technique) and non-variational methods are applied.
Keywords: discrete boundary value problems, variational methods, mountain pass theorem.
Mathematics Subject Classification: 39A10, 39A12, 34B15.
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Joanna Smejda
Technical University of Lodz, Institute of Mathematics, Wolczanska 215, 90-924 Lodz, Poland
Renata Wieteska
Technical University of Lodz, Institute of Mathematics, Wolczanska 215, 90-924 Lodz, Poland
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Received: 2014-04-06.
Revised: 2014-05-05.
Accepted: 2014-05-11.
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Joanna Smejda, Renata Wieteska, On the dependence on parameters for second order discrete boundary value problems with the p(k)-Laplacian, Opuscula Math. 34, no. 4 (2014), 851-870, http://dx.doi.org/10.7494/OpMath.2014.34.4.851.
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