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Conjugacy and principal solution of generalized half-linear second order differential equations

Basic information
Original title:Conjugacy and principal solution of generalized half-linear second order differential equations
Authors:Ondřej Došlý, Jana Řezníčková
Further information
Citation:DOŠLÝ, Ondřej a Jana ŘEZNÍČKOVÁ. Conjugacy and principal solution of generalized half-linear second order differential equations. Electron J. Qual. Theory Differ. Equ, Proc. 9th Coll. QTDE, 2012, roč. 2012, no. 5, s. ,,nestránkováno". ISSN 1417-3875.Export BibTeX
@article{965793,
author = {Došlý, Ondřej and Řezníčková, Jana},
article_number = {no. 5},
keywords = {Half-linear differential equation; generalized Riccati equation; principal solution; minimal solution; conjugacy criterieon},
language = {eng},
issn = {1417-3875},
journal = {Electron J. Qual. Theory Differ. Equ, Proc. 9th Coll. QTDE},
title = {Conjugacy and principal solution of generalized half-linear second order differential equations},
url = {http://www.emis.de/journals/EJQTDE/p1081.pdf},
volume = {2012},
year = {2012}
}
Original language:English
Field:General mathematics
WWW:link to a new windowhttp://www.emis.de/journals/EJQTDE/p1081.pdf
Type:Article in Periodical
Keywords:Half-linear differential equation; generalized Riccati equation; principal solution; minimal solution; conjugacy criterieon

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.

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