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关于非自伴算子D~2x~αD~2+x~β+ix~γ的极限点类(Ⅱ)
On the Limit-point Classification of Non-self-adjoint Operator D~2x~αD~2+x~β+ix~γ(Ⅱ)
【摘要】 <正> 在[4]里我们证明了如果实数α、β、γ不同时满足β≤γ=α-4,γ>0, 微分算式aD2xαD2+bxβ+icxγ在I=[1,∞]上是极限点的,其中a,b,c是正数,而当β=γ=α-4,γ>0时,存在正数σ使得微分算式D2xγ+4D2+σ(1+i)xγ不是极限点。本文将讨论剩下的
【Abstract】 This paper is a sequel of the previous work [4]. Here, we deal with the case: β<γ=α-4 and γ>0 which has not been considered in that paper. Now, using Kauffman’s method, the following theorem has been obtained: Let M≡αD2xγ+4D2+icxγ, γ>0, and L≡M+bxβ, where β<γ, a,b, c are positive numbers. If T1(M) is separated, then L is limit-point and T1(L) is separated.
- 【文献出处】 内蒙古大学学报(自然科学版) ,Acta Scientiarum Naturalium Universitatis Neimongol , 编辑部邮箱 ,1983年02期
- 【被引频次】1
- 【下载频次】90