Variational technique and principal solution in half-linear oscillation criteria

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Authors

DOŠLÝ Ondřej FIŠNAROVÁ Simona

Year of publication 2011
Type Article in Periodical
Magazine / Source Appl. Math. Comput.
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Half-linear differential equation; variational technique; principal solution; oscillation criteria
Description We investigate oscillatory properties of half-linear differential equations. The investigated half-linear equation is viewed as a perturbation of another (nonoscillatory) equation of the same form and perturbation is allowed both in the absolute term and in the derivative term. First, the Sturmian type theorem for solutions of the associated Riccati equation is established. In the second part of the paper we prove new half-linear oscillation criteria using the variational technique
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