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

• Autorzy: Kong L. , Parsley J. , Rizzo K. , Russell N.

Identyfikatory

DOI

10.1515/jaa-2017-0015

• Języki publikacji: EN

Abstrakty

EN

A higher order difference equation is studied. The equation is defined onℤand 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.

Słowa kluczowe

EN

difference equations; higher order; anti-periodic solution; variational approach

PL

równania różniczkowe; wyższy rząd; rozwiązania antyokresowe; podejście wariacyjne

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2017
• Tom: Vol. 23, nr 2
• Strony: 111--125
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Kong L.

• Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA

autor

Parsley J.

• Department of Mathematics, Tennessee Technological University, Cookeville, TN 38505, USA

autor

Rizzo K.

• Department of Mathematics, Allegheny College, Meadville, PA 16335, USA

autor

Russell N.

• Department of Mathematics, University of Delaware, Newark, DE 19716, USA

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).