Comparison of nonlinearities in oscillation theory of half-linear differential equations

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Authors

ŘEHÁK Pavel

Year of publication 2008
Type Article in Periodical
Magazine / Source Acta Math. Hungar
MU Faculty or unit

Faculty of Education

Citation
Doi http://dx.doi.org/10.1007/s10474-008-7181-z
Field General mathematics
Keywords half-linear differential equation; comparison theorem; Riccati technique
Description Several comparison theorems with respect to powers in nonlinearities for half-linear differential equations are presented. The Riccati transformation and the reciprocity principle are utilized. Some examples and one integral extension of the classical comparison result are presented as well.
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