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Asymptotics of the spectrum of the Sturm-Liouville operator with regular boundary conditions

Research paper by A. S. Makin

Indexed on: 19 Jul '08Published on: 19 Jul '08Published in: Differential Equations



Abstract

On the interval (0, π), we consider the spectral problem generated by the Sturm-Liouville operator with regular but not strongly regular boundary conditions. For an arbitrary potential q(x) ∈ L1 (0, π) [q(x) ∈ L2(0, π)], we establish exact asymptotic formulas for the eigenvalues of this problem.