Conjugacy and principal solution of generalized half-linear second order differential equations
We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new conjugacy criterion for the generalized half-linear e...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2012-05-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1081 |
| _version_ | 1797830644137459712 |
|---|---|
| author | Ondrej Dosly J. Reznickova |
| author_facet | Ondrej Dosly J. Reznickova |
| author_sort | Ondrej Dosly |
| collection | DOAJ |
| description | We study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new conjugacy criterion for the generalized half-linear equation. |
| first_indexed | 2024-04-09T13:40:27Z |
| format | Article |
| id | doaj.art-58ee103885704377a67ba955e6528545 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:27Z |
| publishDate | 2012-05-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-58ee103885704377a67ba955e65285452023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-05-012012511310.14232/ejqtde.2012.3.51081Conjugacy and principal solution of generalized half-linear second order differential equationsOndrej Dosly0J. Reznickova1Masaryk University, Brno, Czech RepublicTomas Bata University, Zlin, Czech RepublicWe study the generalized half-linear second order differential equation and the associated Riccati type differential equation. We introduce the concepts of minimal and principal solutions of these equations and using these concepts we prove a new conjugacy criterion for the generalized half-linear equation.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1081half-linear differential equationgeneralized riccati equationprincipal solutionminimal solutionconjugacy criterion |
| spellingShingle | Ondrej Dosly J. Reznickova Conjugacy and principal solution of generalized half-linear second order differential equations Electronic Journal of Qualitative Theory of Differential Equations half-linear differential equation generalized riccati equation principal solution minimal solution conjugacy criterion |
| title | Conjugacy and principal solution of generalized half-linear second order differential equations |
| title_full | Conjugacy and principal solution of generalized half-linear second order differential equations |
| title_fullStr | Conjugacy and principal solution of generalized half-linear second order differential equations |
| title_full_unstemmed | Conjugacy and principal solution of generalized half-linear second order differential equations |
| title_short | Conjugacy and principal solution of generalized half-linear second order differential equations |
| title_sort | conjugacy and principal solution of generalized half linear second order differential equations |
| topic | half-linear differential equation generalized riccati equation principal solution minimal solution conjugacy criterion |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1081 |
| work_keys_str_mv | AT ondrejdosly conjugacyandprincipalsolutionofgeneralizedhalflinearsecondorderdifferentialequations AT jreznickova conjugacyandprincipalsolutionofgeneralizedhalflinearsecondorderdifferentialequations |