Disconjugate operators and related differential equations
There are studied asymptotic properties of solutions of the nonlinear differential equation $L_nx+ p(t)f(x)=0$, where $L_n$ is disconjugate operator, $p$ is of one sign and $f(u)u>0$ for $u\ne 0$. Some comparison theorems in terms of property A and property B between linear and nonlinear equatio...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2000-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=34 |
| _version_ | 1797830805439905792 |
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| author | Zuzana Dosla M. Cecchi Mauro Marini |
| author_facet | Zuzana Dosla M. Cecchi Mauro Marini |
| author_sort | Zuzana Dosla |
| collection | DOAJ |
| description | There are studied asymptotic properties of solutions of the nonlinear differential equation $L_nx+ p(t)f(x)=0$, where $L_n$ is disconjugate operator, $p$ is of one sign and $f(u)u>0$ for $u\ne 0$. Some comparison theorems in terms of property A and property B between linear and nonlinear equations are also given which generalize known results for $n=3$. |
| first_indexed | 2024-04-09T13:43:05Z |
| format | Article |
| id | doaj.art-cc39d1cbc7f9408c8f699cf1685f3716 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:43:05Z |
| publishDate | 2000-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-cc39d1cbc7f9408c8f699cf1685f37162023-05-09T07:52:56ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752000-01-011999411710.14232/ejqtde.1999.5.434Disconjugate operators and related differential equationsZuzana Dosla0M. Cecchi1Mauro Marini2Masaryk University, Brno, Czech RepublicUniversity of Florence, Firenze, ItalyUniversity of Florence, Firenze, ItalyThere are studied asymptotic properties of solutions of the nonlinear differential equation $L_nx+ p(t)f(x)=0$, where $L_n$ is disconjugate operator, $p$ is of one sign and $f(u)u>0$ for $u\ne 0$. Some comparison theorems in terms of property A and property B between linear and nonlinear equations are also given which generalize known results for $n=3$.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=34 |
| spellingShingle | Zuzana Dosla M. Cecchi Mauro Marini Disconjugate operators and related differential equations Electronic Journal of Qualitative Theory of Differential Equations |
| title | Disconjugate operators and related differential equations |
| title_full | Disconjugate operators and related differential equations |
| title_fullStr | Disconjugate operators and related differential equations |
| title_full_unstemmed | Disconjugate operators and related differential equations |
| title_short | Disconjugate operators and related differential equations |
| title_sort | disconjugate operators and related differential equations |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=34 |
| work_keys_str_mv | AT zuzanadosla disconjugateoperatorsandrelateddifferentialequations AT mcecchi disconjugateoperatorsandrelateddifferentialequations AT mauromarini disconjugateoperatorsandrelateddifferentialequations |