Periodic solutions of nonautonomous second-order differential equations with a p-Laplacian

Hairong Lian; Dongli Wang; Donal O'regan; Ravi P. Agarwal

doi:10.1515/anly-2014-1279

Periodic solutions of nonautonomous second-order differential equations with a p-Laplacian

Hairong Lian
, Dongli Wang
, Donal O'regan
, Ravi P. Agarwal

Mathematics

School of Science
Texas A&M University-Kingsville

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we study a periodic boundary value problem for a nonautonomous second-order differential equation with a p-Laplacian. Using the dual least-action principle and a perturbation technique, we obtain existence results under a sub-pth-polynomial condition. A generalized Wirtinger's inequality is employed to extend some recent results.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Analysis (Germany)
Volume	37
Issue number	1
DOIs	https://doi.org/10.1515/anly-2014-1279
Publication status	Published - 1 Feb 2017

Keywords

Boundary value problem
Dual
P-Laplacian
Periodic solution

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10.1515/anly-2014-1279

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abstract = "In this paper, we study a periodic boundary value problem for a nonautonomous second-order differential equation with a p-Laplacian. Using the dual least-action principle and a perturbation technique, we obtain existence results under a sub-pth-polynomial condition. A generalized Wirtinger's inequality is employed to extend some recent results.",

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AU - O'regan, Donal

AU - Agarwal, Ravi P.

PY - 2017/2/1

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AB - In this paper, we study a periodic boundary value problem for a nonautonomous second-order differential equation with a p-Laplacian. Using the dual least-action principle and a perturbation technique, we obtain existence results under a sub-pth-polynomial condition. A generalized Wirtinger's inequality is employed to extend some recent results.

KW - Boundary value problem

KW - Dual

KW - P-Laplacian

KW - Periodic solution

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Periodic solutions of nonautonomous second-order differential equations with a p-Laplacian

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Keywords

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