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Integral conditions for nonoscillation of second order nonlinear differential equations

Basic information
Original title:Integral conditions for nonoscillation of second order nonlinear differential equations
Authors:Zuzana Došlá, Mariella Cecchi, Mauro Marini, Ivo Vrkoč
Further information
Citation:DOŠLÁ, Zuzana, Mariella CECCHI, Mauro MARINI a Ivo VRKOČ. Integral conditions for nonoscillation of second order nonlinear differential equations. Nonlin. Anal., 2006, roč. 64, č. 5, s. 1278-1289. ISSN 0362-546X.Export BibTeX
@article{629584,
author = {Došlá, Zuzana and Cecchi, Mariella and Marini, Mauro and Vrkoč, Ivo},
article_number = {5},
keywords = {Change of integration; half-linear differential equation; nonoscillatory solution; principal solution},
language = {eng},
issn = {0362-546X},
journal = {Nonlin. Anal.},
title = {Integral conditions for nonoscillation of second order nonlinear differential equations},
volume = {64},
year = {2006}
}
Original language:English
Field:General mathematics
Type:Article in Periodical
Keywords:Change of integration; half-linear differential equation; nonoscillatory solution; principal solution

An extension of the Fubini theorem is presented and applied in studying the possible coexistence of nonoscillatorz solutions for the nonlinear second order differential equations of the Emden-Fowler type. Some discrepancies among the super-half linear, half-linear and sub-half linear case are pointed out and compared with the linear case. The obtained result for the half-linear equation is applied to prove the integral characterization of principal solutions.

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