Results 281 to 290 of about 26,746 (306)

Spectral and scattering inverse problems

Journal of Mathematical Physics, 1978
The reconstruction of a differential operator form discrete spectra is reduced to its reconstruction from an S-matrix. This method makes it possible to solve the singular Sturm–Liouville problems which determine certain modes of a sphere. The results pave the way for handling studies in which information on modes and scattering results would all be ...
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Spectral techniques in inverse stokes and Overdetermined problems

Surveys in Geophysics, 1993
This paper deals with spectral techniques applied to geodetic problems. The solutions of the Inverse Stokes problem and of the Overdetermined Boundary Value Problem have been obtained applying The Wiener principle directly in the spectral domain.
BARZAGHI, RICCARDO, A. Fermi, S. Tarantola, SANSO', FERNANDO   +3 more
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An operator integral in the multidimensional spectral inverse problem

Journal of Mathematical Sciences, 1997
An approach to inverse problems based upon boundary control theory [the BC-method; M. Belishev, 1986] is developed. M. Brodskii's operator integral is introduced, which works effectively for inverse problems. It has a dynamical nature connected with propagation of discontinuities of wave fields. The integral is proved to converge for (large) times when
Belishev, M. I., Kachalov, A. P.
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The integrated inverse spectral problem

Journal of Molecular Structure, 1994
Abstract The concept of the integrated inverse spectral problem is discussed. Force constants and electro-optical parameters of molecules and half-widths of spectral bands may be simultaneously determined as a result of solving this problem. A novel expression based on the correlation factor and penalty function is offered as a solution to the ...
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Inverse spectral problem for the Sturm Liouville equation

Inverse Problems, 2003
Summary: This paper discusses a new numerical approach to computing the potential \(q\) in the Sturm-Liouville problem \(-y''+ qy=\lambda y\) on a compact interval. It is shown that an algorithm to recover \(q\) from eigenvalues and multiplier constants can be derived. Examples of some test problems, and questions of efficiency are discussed.
Brown, B. M., Samko, V. S., Knowles, I. W., Marletta, M.   +3 more
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Inverse spectral problems for compact Hankel operators

Journal of the Institute of Mathematics of Jussieu, 2013
AbstractGiven two arbitrary sequences $({\lambda }_{j} )_{j\geq 1} $ and $({\mu }_{j} )_{j\geq 1} $ of real numbers satisfying $$\begin{eqnarray*}\displaystyle \vert {\lambda }_{1} \vert \gt \vert {\mu }_{1} \vert \gt \vert {\lambda }_{2} \vert \gt \vert {\mu }_{2} \vert \gt \cdots \gt \vert {\lambda }_{j} \vert \gt \vert {\mu }_{j} \vert \rightarrow 0,
Gérard, Patrick, Grellier, Sandrine
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INVERSE SPECTRAL PROBLEM FOR ATOM-LIKE MESONS

Modern Physics Letters A, 2008
Inverse spectral problem for the Dirac equation with quark–antiquark potential is treated. For a class of potentials of the form Q(x) = q(x) E + (m + x)I, where q(x) = o(1) for x → +∞, [Formula: see text], E = I2 is multiplicative identity matrix, it is proved that q(x) in the Dirac equation can be uniquely recovered from the data {λj, sj}.
Matrasulov, D. U., Sobiro, Z. A., Sabirov, K. K.   +2 more
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New inverse spectral problem and its application

1997
The origin of inverse spectral problems lies in natural science, but the problems themselves are purely mathematical. At the beginning these problems attracted attention of mathematicians by their nonstandard physical contents. But we think that today their place in mathematical physics is determined rather by the unexpected connection between inverse ...
Anne Boutet de Monvel, Vladimir Marchenko   +1 more
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Multidimensional inverse spectral problem for the equation ??? + (v(x) ? Eu(x))? = 0

Functional Analysis and Its Applications, 1989
R G Novikov, Novikov R G
exaly  

On the half inverse spectral problem for an integro-differential operator

Inverse Problems in Science and Engineering, 2017
Sergey Buterin
exaly