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A CRITERION FOR DISCRETE SPECTRUM OF A CLASS OF DIFFERENTIAL OPERATORS

A CRITERION FOR DISCRETE SPECTRUM OF A CLASS OF DIFFERENTIAL OPERATORS
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摘要 In this paper,a sufficient and necessary condition is obtained to ensure that the spectrum of a class of 2n-order weighted differential operators is discrete.The proof is based on the method of certain weighted Sobolev spaces to be compactly embedded in weighted L^2(R).
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2003年第1期95-100,共6页 系统科学与复杂性学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China(No.10071048).
关键词 SPECTRUM weighted Sobolev space compactly embedding. 加权索伯列夫空间 微分算子 光谱 频谱 紧嵌入
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