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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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 |
id | doaj-art-9001884dc5d146de9030515e6d83ba28 |
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 |