Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality

Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordi...

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Main Author: Norio Yoshida
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2010/520486
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author Norio Yoshida
author_facet Norio Yoshida
author_sort Norio Yoshida
collection DOAJ
description Picone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordinary half-linear differential equations.
format Article
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institution Kabale University
issn 1687-9643
1687-9651
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-9001884dc5d146de9030515e6d83ba282025-02-03T01:28:57ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/520486520486Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type InequalityNorio Yoshida0Department of Mathematics, University of Toyama, Toyama 930-8555, JapanPicone-type inequality is established for a class of half-linear elliptic equations with forcing term, and oscillation results are derived on the basis of the Picone-type inequality. Our approach is to reduce the multi-dimensional oscillation problems to one-dimensional oscillation problems for ordinary half-linear differential equations.http://dx.doi.org/10.1155/2010/520486
spellingShingle Norio Yoshida
Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
International Journal of Differential Equations
title Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
title_full Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
title_fullStr Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
title_full_unstemmed Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
title_short Forced Oscillations of Half-Linear Elliptic Equations via Picone-Type Inequality
title_sort forced oscillations of half linear elliptic equations via picone type inequality
url http://dx.doi.org/10.1155/2010/520486
work_keys_str_mv AT norioyoshida forcedoscillationsofhalflinearellipticequationsviapiconetypeinequality