Half-linear eigenvalue problem: Limit behavior of the first eigenvalue for shrinking interval

Boundary value problems

Gabriella Bognr²  Ondej Dol³ 

[1] Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic;University of Miskolc, Egyetemváros, Miskolc, Hungary

关键词: Eigenvalue Problem;    Riccati Equation;    Constant Coefficient;    Linear Case;    Order Differential Equation;   

DOI  :  10.1186/1687-2770-2013-221

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We investigate the limit behavior of the first eigenvalue of the half-linear eigenvalue problem when the length of the interval tends to zero. We show that the important role is played by the limit behavior of ratios of primitive functions of coefficients in the investigated half-linear equation. MSC:34C10.

【 授权许可】

CC BY