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The inverse problem of reconstruction of the medium’s conductivity in a class of discontinuous and increasing functions. (English) Zbl 0823.34019

Marchenko, V. A. (ed.), Spectral operator theory and related topics. Collection of papers. Providence, RI: American Mathematical Society. Adv. Sov. Math. 19, 209-232 (1994).
The author studies the inverse spectral problem for the so-called impedance equation \[ A^{-1} (x) {d \over dx} \left( A(x) {d \over dx} u(x, \lambda) \right) + \lambda u(x, \lambda) = 0. \]
For the entire collection see [Zbl 0802.00007].

MSC:

34A55 Inverse problems involving ordinary differential equations
34B30 Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)
34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators
78A25 Electromagnetic theory (general)
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