On the integral characterization of principal solutions for half-linear ODE
We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this n...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2013-01-01
|
| 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=1971 |
| _version_ | 1797830661366611968 |
|---|---|
| author | M. Cecchi Zuzana Dosla Ondrej Dosly Mauro Marini |
| author_facet | M. Cecchi Zuzana Dosla Ondrej Dosly Mauro Marini |
| author_sort | M. Cecchi |
| collection | DOAJ |
| description | We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter $\alpha$ is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations. |
| first_indexed | 2024-04-09T13:39:38Z |
| format | Article |
| id | doaj.art-98814696db48491abd13a5137c4b51fa |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:38Z |
| publishDate | 2013-01-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-98814696db48491abd13a5137c4b51fa2023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-01-0120131211410.14232/ejqtde.2013.1.121971On the integral characterization of principal solutions for half-linear ODEM. Cecchi0Zuzana Dosla1Ondrej Dosly2Mauro Marini3University of Florence, Firenze, ItalyMasaryk University, Brno, Czech RepublicMasaryk University, Brno, Czech RepublicUniversity of Florence, Firenze, ItalyWe discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter $\alpha$ is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1971half-linear differential equationprincipal solutionoscillation |
| spellingShingle | M. Cecchi Zuzana Dosla Ondrej Dosly Mauro Marini On the integral characterization of principal solutions for half-linear ODE Electronic Journal of Qualitative Theory of Differential Equations half-linear differential equation principal solution oscillation |
| title | On the integral characterization of principal solutions for half-linear ODE |
| title_full | On the integral characterization of principal solutions for half-linear ODE |
| title_fullStr | On the integral characterization of principal solutions for half-linear ODE |
| title_full_unstemmed | On the integral characterization of principal solutions for half-linear ODE |
| title_short | On the integral characterization of principal solutions for half-linear ODE |
| title_sort | on the integral characterization of principal solutions for half linear ode |
| topic | half-linear differential equation principal solution oscillation |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1971 |
| work_keys_str_mv | AT mcecchi ontheintegralcharacterizationofprincipalsolutionsforhalflinearode AT zuzanadosla ontheintegralcharacterizationofprincipalsolutionsforhalflinearode AT ondrejdosly ontheintegralcharacterizationofprincipalsolutionsforhalflinearode AT mauromarini ontheintegralcharacterizationofprincipalsolutionsforhalflinearode |