On Nonoscillation of Advanced Differential Equations with Several Terms
Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/637142 |
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| _version_ | 1832567290440187904 |
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| author | L. Berezansky E. Braverman |
| author_facet | L. Berezansky E. Braverman |
| author_sort | L. Berezansky |
| collection | DOAJ |
| description | Existence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented. |
| format | Article |
| id | doaj-art-1f07e812fcc9451097f4c6fbc715173c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-1f07e812fcc9451097f4c6fbc715173c2025-02-03T01:01:48ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/637142637142On Nonoscillation of Advanced Differential Equations with Several TermsL. Berezansky0E. Braverman1Department of Mathematics, Ben-Gurion University of Negev, Beer-Sheva 84105, IsraelDepartment of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, AB, T2N 1N4, CanadaExistence of positive solutions for advanced equations with several terms x˙(t)+∑k=1mak(t)x(hk(t))=0, hk(t)≥t is investigated in the following three cases: (a) all coefficients ak are positive; (b) all coefficients ak are negative; (c) there is an equal number of positive and negative coefficients. Results on asymptotics of nonoscillatory solutions are also presented.http://dx.doi.org/10.1155/2011/637142 |
| spellingShingle | L. Berezansky E. Braverman On Nonoscillation of Advanced Differential Equations with Several Terms Abstract and Applied Analysis |
| title | On Nonoscillation of Advanced Differential Equations with Several Terms |
| title_full | On Nonoscillation of Advanced Differential Equations with Several Terms |
| title_fullStr | On Nonoscillation of Advanced Differential Equations with Several Terms |
| title_full_unstemmed | On Nonoscillation of Advanced Differential Equations with Several Terms |
| title_short | On Nonoscillation of Advanced Differential Equations with Several Terms |
| title_sort | on nonoscillation of advanced differential equations with several terms |
| url | http://dx.doi.org/10.1155/2011/637142 |
| work_keys_str_mv | AT lberezansky onnonoscillationofadvanceddifferentialequationswithseveralterms AT ebraverman onnonoscillationofadvanceddifferentialequationswithseveralterms |