OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS

In this work, we investigate the oscillation and nonoscillation of a class of second order neutral dierential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest integer function.

Bibliographic Details
Main Authors: A. K. TRIPATHY, R. R. MOHANTA
Format: Article
Language:English
Published: Conspress 2015-12-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Neutral dierential equation
oscillation
nonoscillation
picewise-constant argument
Online Access:http://www.rjm-cs.ro/TripathyMohanta-2-2015.pdf
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spelling doaj-c085f62da4d44c58a1f5faf879805bdf2020-11-24T20:41:45ZengConspressRomanian Journal of Mathematics and Computer Science2247-689X2015-12-0152178190OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTSA. K. TRIPATHY0R. R. MOHANTA1Department of Mathematics, Sambalpur University, Sambalpur-768019, INDIA E-mail address: arun tripathy70@rediffmail.comDepartment of Mathematics, Sambalpur University, Sambalpur-768019, INDIA E-mail address: mrashmirekha92@gmail.comIn this work, we investigate the oscillation and nonoscillation of a class of second order neutral dierential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest integer function.http://www.rjm-cs.ro/TripathyMohanta-2-2015.pdfNeutral dierential equationoscillationnonoscillationpicewise-constant argument
collection DOAJ
language English
format Article
sources DOAJ
author A. K. TRIPATHY
R. R. MOHANTA
spellingShingle A. K. TRIPATHY
R. R. MOHANTA
OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
Romanian Journal of Mathematics and Computer Science
Neutral dierential equation
oscillation
nonoscillation
picewise-constant argument
author_facet A. K. TRIPATHY
R. R. MOHANTA
author_sort A. K. TRIPATHY
title OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
title_short OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
title_full OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
title_fullStr OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
title_full_unstemmed OSCILLATION PROPERTIES OF A CLASS OF SECOND ORDER NEUTRAL DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENTS
title_sort oscillation properties of a class of second order neutral differential equations with piecewise constant arguments
publisher Conspress
series Romanian Journal of Mathematics and Computer Science
issn 2247-689X
publishDate 2015-12-01
description In this work, we investigate the oscillation and nonoscillation of a class of second order neutral dierential equations with piecewise constant arguments of the form: ((r(t)(y(t) + p(t)y(t-1))')' + q(t)y([t-1]) = f(t); where [ ] denotes the greatest integer function.
topic Neutral dierential equation
oscillation
nonoscillation
picewise-constant argument
url http://www.rjm-cs.ro/TripathyMohanta-2-2015.pdf
work_keys_str_mv AT aktripathy oscillationpropertiesofaclassofsecondorderneutraldifferentialequationswithpiecewiseconstantarguments
AT rrmohanta oscillationpropertiesofaclassofsecondorderneutraldifferentialequationswithpiecewiseconstantarguments
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