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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 and Ivo VRKOČ. Integral conditions for nonoscillation of second order nonlinear differential equations (Integral conditions for nonoscillation of second order nonlinear differential equations). Nonlin. Anal., 2006, vol. 64, No 5, p. 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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