Results 281 to 290 of about 17,806 (305)

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 ...
openaire   +1 more source

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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The inverse spectral problem for differential pencils by mixed spectral data

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
openaire   +1 more source

Periodic approximations in inverse spectral problems for canonical Hamiltonian systems

Journal of Functional Analysis, 2023
A R Zhang
exaly  

Inverse spectral problems for differential operators with non-separated boundary conditions

Journal of Inverse and Ill-Posed Problems, 2020
V A Yurko
exaly  

Inverse spectral problems for differential operators on arbitrary compact graphs

Journal of Inverse and Ill-Posed Problems, 2010
V A Yurko
exaly