Oscillation for higher order differential equations with a middle term

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Authors

BARTUŠEK Miroslav DOŠLÁ Zuzana MARINI Mauro

Year of publication 2014
Type Article in Periodical
Magazine / Source Boundary Value Problems
MU Faculty or unit

Faculty of Science

Citation
Web http://www.boundaryvalueproblems.com/content/2014/1/48
Doi http://dx.doi.org/10.1186/1687-2770-2014-48
Field General mathematics
Keywords Higher order nonlinear differential equation; middle term; oscillation;
Description We study the existence of bounded oscillatory solutions for a higher order differential equation, considered as a perturbation of an associated linear equation. Jointly with this, we study the nonexistence of solutions vanishing at infinity and, as an application, we obtain in the linear case an asymptotic equivalency criterion.
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