Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties
This article presents a new approach for investigating the oscillation properties of second order linear differential equations with a damped term containing a deviating argument $$ x''(t)-[P(t)x(r(t))]'+Q(t)x(l(t))=0,quad r(t)leq t. $$ To study this equation, a specially adapted vers...
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Texas State University
2004-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2004/59/abstr.html |
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doaj-52643dccfbe74953a873c3e78a627e1d2020-11-25T00:00:51ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-04-01200459130Damped second order linear differential equation with deviating arguments: Sharp results in oscillation propertiesLeonid BerezanskyYury DomshlakThis article presents a new approach for investigating the oscillation properties of second order linear differential equations with a damped term containing a deviating argument $$ x''(t)-[P(t)x(r(t))]'+Q(t)x(l(t))=0,quad r(t)leq t. $$ To study this equation, a specially adapted version of Sturmian Comparison Method is developed and the following results are obtained: http://ejde.math.txstate.edu/Volumes/2004/59/abstr.htmlLinear differential equation with deviating argumentssecond orderdamping termoscillationSturmian comparison method |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Leonid Berezansky Yury Domshlak |
| spellingShingle |
Leonid Berezansky Yury Domshlak Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties Electronic Journal of Differential Equations Linear differential equation with deviating arguments second order damping term oscillation Sturmian comparison method |
| author_facet |
Leonid Berezansky Yury Domshlak |
| author_sort |
Leonid Berezansky |
| title |
Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties |
| title_short |
Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties |
| title_full |
Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties |
| title_fullStr |
Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties |
| title_full_unstemmed |
Damped second order linear differential equation with deviating arguments: Sharp results in oscillation properties |
| title_sort |
damped second order linear differential equation with deviating arguments: sharp results in oscillation properties |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2004-04-01 |
| description |
This article presents a new approach for investigating the oscillation properties of second order linear differential equations with a damped term containing a deviating argument $$ x''(t)-[P(t)x(r(t))]'+Q(t)x(l(t))=0,quad r(t)leq t. $$ To study this equation, a specially adapted version of Sturmian Comparison Method is developed and the following results are obtained: |
| topic |
Linear differential equation with deviating arguments second order damping term oscillation Sturmian comparison method |
| url |
http://ejde.math.txstate.edu/Volumes/2004/59/abstr.html |
| work_keys_str_mv |
AT leonidberezansky dampedsecondorderlineardifferentialequationwithdeviatingargumentssharpresultsinoscillationproperties AT yurydomshlak dampedsecondorderlineardifferentialequationwithdeviatingargumentssharpresultsinoscillationproperties |
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1725443042842771456 |