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

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Authors	DOŠLÝ Ondřej ŘEZNÍČKOVÁ Jana
Year of publication	2012
Type	Article in Periodical
Magazine / Source	Electron J. Qual. Theory Differ. Equ, Proc. 9th Coll. QTDE
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.emis.de/journals/EJQTDE/p1081.pdf
Field	General mathematics
Keywords	Half-linear differential equation; generalized Riccati equation; principal solution; minimal solution; conjugacy criterieon
Attached files	reprint.pdf
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.
Related projects:	Mathematical structures and their physical applications Kvalitativní vlastnosti řešení diferenciálních rovnic a jejich aplikace