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Half‐Linear Eigenvalue Problems

 

作者: Walter Eberhard,   Árpad Elbert,  

 

期刊: Mathematische Nachrichten  （WILEY Available online 1997）
卷期: Volume 183, issue 1  

页码: 55-72

 

ISSN:0025-584X

 

年代: 1997

 

DOI:10.1002/mana.19971830105

 

出版商: WILEY‐VCH Verlag

 

关键词: Half‐linear differential equations;asymptotic estimates of solutions and eigenvalues

 

数据来源: WILEY

 

摘要:

AbstractWe consider the eigenvalue problemfortϵ [0,b], wherean= |a|nsgna, aϵ ℝ, λ ϵ ℝ, the constants μ, vare real such that 0 ≤ μ0 which corresponds to the well‐known WKB‐approximation in the linear casen= 1, μ = 0. In the second part we investigate the asymptotic distribution of the eigenvalues in the general case of two ‐point boundary conditions and refine these results for the so called separated b

 

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