Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran
Abstract
This paper deals with the singular Sturm-Liouville expressions $ \ell y = -y''+q(x)y=\lambda y $ on a finite interval, where the potential function $q$ is real and has a singularity inside the interval. Using the asymptotic estimates of a spectral fundamental system of solutions of Sturm-Liouville equation, the asymptotic form of the solution of the equation (0.1) and the eigenvalues are obtained, and proves the stability of the solution of the inverse spectral problem.
Mosazadeh, S. (2015). The stability of the solution of an inverse spectral problem with a singularity. Bulletin of the Iranian Mathematical Society, 41(5), 1061-1070.
MLA
S. Mosazadeh. "The stability of the solution of an inverse spectral problem with a singularity". Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1061-1070.
HARVARD
Mosazadeh, S. (2015). 'The stability of the solution of an inverse spectral problem with a singularity', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1061-1070.
VANCOUVER
Mosazadeh, S. The stability of the solution of an inverse spectral problem with a singularity. Bulletin of the Iranian Mathematical Society, 2015; 41(5): 1061-1070.
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