Variational method and conjugacy criteria for half-linear differential equations

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Authors

DOŠLÝ Ondřej CHVÁTAL Martin

Year of publication 2013
Type Article in Periodical
Magazine / Source Arch. Math.
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.5817/AM2013-1-9
Field General mathematics
Keywords Half-linear differential equation; conjugacy criteria; variational principle; energy functional; half-linear trigonometric functions
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Description We establish new conjugacy criteria for half-linear second order differential equations. These criteria are based on the relationship between conjugacy of the investigated equation and nonpositivity of the associated energy functional.
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