Oscillations of Third Order Half Linear Neutral Differential Equations

In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t...

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Main Author: Baghdad Science Journal
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2015-09-01
Series:مجلة بغداد للعلوم
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Online Access:http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2108
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author Baghdad Science Journal
author_facet Baghdad Science Journal
author_sort Baghdad Science Journal
collection DOAJ
description In this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t_0, to be oscillatory. Examples are given to illustrate our main results.
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id doaj-art-d3e85ed7db11483b8ae05770f85ea3bb
institution Kabale University
issn 2078-8665
2411-7986
language English
publishDate 2015-09-01
publisher University of Baghdad, College of Science for Women
record_format Article
series مجلة بغداد للعلوم
spelling doaj-art-d3e85ed7db11483b8ae05770f85ea3bb2025-08-20T03:57:47ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862015-09-0112310.21123/bsj.12.3.625-631Oscillations of Third Order Half Linear Neutral Differential EquationsBaghdad Science JournalIn this paper the oscillation criterion was investigated for all solutions of the third-order half linear neutral differential equations. Some necessary and sufficient conditions are established for every solution of (a(t)[(x(t)±p(t)x(?(t) ) )^'' ]^? )^'+q(t) x^? (?(t) )=0, t?t_0, to be oscillatory. Examples are given to illustrate our main results.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2108Third order half linear Neutral differential equations, oscillation of solutions.
spellingShingle Baghdad Science Journal
Oscillations of Third Order Half Linear Neutral Differential Equations
مجلة بغداد للعلوم
Third order half linear Neutral differential equations, oscillation of solutions.
title Oscillations of Third Order Half Linear Neutral Differential Equations
title_full Oscillations of Third Order Half Linear Neutral Differential Equations
title_fullStr Oscillations of Third Order Half Linear Neutral Differential Equations
title_full_unstemmed Oscillations of Third Order Half Linear Neutral Differential Equations
title_short Oscillations of Third Order Half Linear Neutral Differential Equations
title_sort oscillations of third order half linear neutral differential equations
topic Third order half linear Neutral differential equations, oscillation of solutions.
url http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/2108
work_keys_str_mv AT baghdadsciencejournal oscillationsofthirdorderhalflinearneutraldifferentialequations