Multiple periodic solutions to a discrete $p^{(k)}$ - Laplacian problem

Marek Galewski; Renata Wieteska

doi:10.3934/dcdsb.2014.19.2535

Article Contents

2014, Volume 19, Issue 8: 2535-2547. Doi: 10.3934/dcdsb.2014.19.2535

This issue Previous Article Parameter estimation of systems with delays via structural sensitivity analysis Next Article A global implicit function theorem and its applications to functional equations

Multiple periodic solutions to a discrete $p^{(k)}$ - Laplacian problem

Marek Galewski^1, and
Renata Wieteska^1,

1.
Institute of Mathematics, Technical University of Lodz, Wolczanska 215, 90-924 Lodz

Received: November 2013

Revised: November 2013

Published: October 2014

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Abstract

We investigate the existence of multiple periodic solutions to the anisotropic discrete system. We apply the linking method and a new three critical point theorem which we provide.

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Mathematics Subject Classification: Primary: 39A10; Secondary: 34B15, 65Q20.

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