Regular and Pathological Eigenvalue Behavior for the Equation −λu″=Vuon the Semiaxis
作者： K. Naimark , M. Solomyak
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摘要: We study the behavior of eigenvalue distribution functionn(λ) for equation−λu″=Vuon R+,u(0)=0.Typically,n(λ)=O(λ−1/2) and, moreover,λ1/2n(λ)→π−1 ∫ V dxasλ→0. obtain criteria each these relations. Examples are presented where limλ→0 λ1/2n(λ) does exist, but is not equal toπ−1 dx.
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