On slow oscillation and nonoscillation in retarded equations

Sufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.

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Bibliographic Details
Main Author: Bhagat Singh
Format: Article
Language:English
Published: Wiley 1979-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171279000417
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author Bhagat Singh
author_facet Bhagat Singh
author_sort Bhagat Singh
collection DOAJ
description Sufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1979-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-fb352f61c9624ecfa164d13e0b85a8792025-08-20T03:25:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012352353010.1155/S0161171279000417On slow oscillation and nonoscillation in retarded equationsBhagat Singh0Department of Mathematics, University of Wisconsin Center, Manitowoc 54220, Wisconsin, USASufficient conditions have been found to ensure that all oscillatory solutions of (r(t)y′(t))′+a(t)y(t−ξ(t))=f(t) are slowly oscillating. This behaviour is further linked to nonoscillation.http://dx.doi.org/10.1155/S0161171279000417oscillationnonoscillationmoderately oscillatingslowly oscillating.
spellingShingle Bhagat Singh
On slow oscillation and nonoscillation in retarded equations
International Journal of Mathematics and Mathematical Sciences
oscillation
nonoscillation
moderately oscillating
slowly oscillating.
title On slow oscillation and nonoscillation in retarded equations
title_full On slow oscillation and nonoscillation in retarded equations
title_fullStr On slow oscillation and nonoscillation in retarded equations
title_full_unstemmed On slow oscillation and nonoscillation in retarded equations
title_short On slow oscillation and nonoscillation in retarded equations
title_sort on slow oscillation and nonoscillation in retarded equations
topic oscillation
nonoscillation
moderately oscillating
slowly oscillating.
url http://dx.doi.org/10.1155/S0161171279000417
work_keys_str_mv AT bhagatsingh onslowoscillationandnonoscillationinretardedequations