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Anti-periodic solutions for a higher order difference equation with p-Laplacian

  • Lingju Kong EMAIL logo , Jacob Parsley , Kaitlin Rizzo and Nicholas Russell

Abstract

A higher order difference equation is studied. The equation is defined on and contains a p-Laplacian and both advance and retardation. Some criteria are established for the existence of infinitely many anti-periodic solutions of the equation. Several consequences of the main theorems are also included. Two examples are provided to illustrate the applicability of the results.

MSC 2010: 39A05; 47J30; 58E05

Award Identifier / Grant number: DMS-1261308

Funding statement: The research by Jacob Parsley, Kaitlin Rizzo, and Nicholas Russell was conducted as part of a 2015 research experience for undergraduates at the University of Tennessee at Chattanooga that was supported by NSF grant DMS-1261308.

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Received: 2015-10-3
Revised: 2017-5-29
Accepted: 2017-9-25
Published Online: 2017-11-18
Published in Print: 2017-12-1

© 2017 Walter de Gruyter GmbH, Berlin/Boston

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