Oscillation for higher order differential equations with a middle term

Boundary value problems

Mauro Marini²  Zuzana Dol³  Miroslav Bartuek³ 

[1] , University of Florence, Florence, Italy;Department of Mathematics and Informatics ‘Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic;Ulisse Dini’

关键词: Nontrivial Solution;    Force Term;    Independent Solution;    Middle Term;    Oscillatory Solution;   

DOI  :  10.1186/1687-2770-2014-48

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY