Oscillation criteria for certain nonlinear fourth order equations

This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously. Finally, several criteria for the existence of oscillator solutions are e...

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Bibliographic Details
Main Author:	W. E. Taylor
Format:	Article
Language:	English
Published:	Hindawi Limited 1983-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	nonlinear fourth order equations oscillatory and nonoscillatory solutions asymptotic behavior.
Online Access:	http://dx.doi.org/10.1155/S0161171283000502

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spelling	doaj-8ce2db9b3e9d4a61b71f45cdfdc76e182020-11-24T20:59:45ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251983-01-016355155710.1155/S0161171283000502Oscillation criteria for certain nonlinear fourth order equationsW. E. Taylor0Department of Mathematics, Texas Southern University, Houston, Texas 77004, USAThis work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously. Finally, several criteria for the existence of oscillator solutions are established.http://dx.doi.org/10.1155/S0161171283000502nonlinear fourth order equationsoscillatory and nonoscillatory solutionsasymptotic behavior.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	W. E. Taylor
spellingShingle	W. E. Taylor Oscillation criteria for certain nonlinear fourth order equations International Journal of Mathematics and Mathematical Sciences nonlinear fourth order equations oscillatory and nonoscillatory solutions asymptotic behavior.
author_facet	W. E. Taylor
author_sort	W. E. Taylor
title	Oscillation criteria for certain nonlinear fourth order equations
title_short	Oscillation criteria for certain nonlinear fourth order equations
title_full	Oscillation criteria for certain nonlinear fourth order equations
title_fullStr	Oscillation criteria for certain nonlinear fourth order equations
title_full_unstemmed	Oscillation criteria for certain nonlinear fourth order equations
title_sort	oscillation criteria for certain nonlinear fourth order equations
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	1983-01-01
description	This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously. Finally, several criteria for the existence of oscillator solutions are established.
topic	nonlinear fourth order equations oscillatory and nonoscillatory solutions asymptotic behavior.
url	http://dx.doi.org/10.1155/S0161171283000502
work_keys_str_mv	AT wetaylor oscillationcriteriaforcertainnonlinearfourthorderequations
_version_	1716781722752778240

Oscillation criteria for certain nonlinear fourth order equations

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