Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II
We study the oscillation of solutions to the differential equation $$ dot{x}(t) +a_1(t)x[r(t)]+a_2(t)x[p(t)]=0, quad tgeq t_0 $$ which has a retarded argument $r(t)$ and an advanced argument $p(t)$. We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide exa...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2002-04-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2002/31/abstr.html |
| _version_ | 1818514466784935936 |
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| author | Leonid Berezansky Yury Domshlak |
| author_facet | Leonid Berezansky Yury Domshlak |
| author_sort | Leonid Berezansky |
| collection | DOAJ |
| description | We study the oscillation of solutions to the differential equation $$ dot{x}(t) +a_1(t)x[r(t)]+a_2(t)x[p(t)]=0, quad tgeq t_0 $$ which has a retarded argument $r(t)$ and an advanced argument $p(t)$. We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results. |
| first_indexed | 2024-12-11T00:16:16Z |
| format | Article |
| id | doaj.art-4fd0deb413724b03b71344774cea255b |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-11T00:16:16Z |
| publishDate | 2002-04-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-4fd0deb413724b03b71344774cea255b2022-12-22T01:27:56ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-04-01200231118Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, IILeonid BerezanskyYury DomshlakWe study the oscillation of solutions to the differential equation $$ dot{x}(t) +a_1(t)x[r(t)]+a_2(t)x[p(t)]=0, quad tgeq t_0 $$ which has a retarded argument $r(t)$ and an advanced argument $p(t)$. We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results.http://ejde.math.txstate.edu/Volumes/2002/31/abstr.htmlmixed differential equations, oscillation, non-oscillation, Sturmian comparison method. |
| spellingShingle | Leonid Berezansky Yury Domshlak Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II Electronic Journal of Differential Equations mixed differential equations, oscillation, non-oscillation, Sturmian comparison method. |
| title | Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II |
| title_full | Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II |
| title_fullStr | Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II |
| title_full_unstemmed | Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II |
| title_short | Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory, II |
| title_sort | differential equations with several deviating arguments sturmian comparison method in oscillation theory ii |
| topic | mixed differential equations, oscillation, non-oscillation, Sturmian comparison method. |
| url | http://ejde.math.txstate.edu/Volumes/2002/31/abstr.html |
| work_keys_str_mv | AT leonidberezansky differentialequationswithseveraldeviatingargumentssturmiancomparisonmethodinoscillationtheoryii AT yurydomshlak differentialequationswithseveraldeviatingargumentssturmiancomparisonmethodinoscillationtheoryii |