Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments
This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can...
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Texas State University
2017-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/16/abstr.html |
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doaj-e5a0419ffd074e318d0430ca8aa520fc2020-11-24T20:49:57ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-01-01201716,112Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating argumentsErcan Tunc0 Gaziosmanpasa Univ., Tokat, Turkey This article concerns the oscillatory and asymptotic properties of solutions of a class of third-order neutral differential equations with distributed deviating arguments. We give sufficient conditions for every solution to be either oscillatory or to converges to zero. The results obtained can easily be extended to more general neutral differential equations and neutral dynamic equations on time scales. Two examples are also provided to illustrate the results.http://ejde.math.txstate.edu/Volumes/2017/16/abstr.htmlNeutral differential equationoscillationasymptotic behaviordistributed deviating arguments |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ercan Tunc |
| spellingShingle |
Ercan Tunc Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments Electronic Journal of Differential Equations Neutral differential equation oscillation asymptotic behavior distributed deviating arguments |
| author_facet |
Ercan Tunc |
| author_sort |
Ercan Tunc |
| title |
Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| title_short |
Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| title_full |
Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| title_fullStr |
Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| title_full_unstemmed |
Oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| title_sort |
oscillatory and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2017-01-01 |
| description |
This article concerns the oscillatory and asymptotic properties of
solutions of a class of third-order neutral differential equations
with distributed deviating arguments. We give sufficient conditions
for every solution to be either oscillatory or to converges to zero.
The results obtained can easily be extended to more general neutral
differential equations and neutral dynamic equations on time scales.
Two examples are also provided to illustrate the results. |
| topic |
Neutral differential equation oscillation asymptotic behavior distributed deviating arguments |
| url |
http://ejde.math.txstate.edu/Volumes/2017/16/abstr.html |
| work_keys_str_mv |
AT ercantunc oscillatoryandasymptoticbehaviorofthirdorderneutraldifferentialequationswithdistributeddeviatingarguments |
| _version_ |
1716805293403275264 |