The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations


We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x + λq(t)x = 0 on an infinite interval [a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive the asymptotic behavior of the eigenvalues. 
DOI: 10.1155/IJMMS/2006/29895

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