Integration of some chains of nonlinear difference equations by the method of the inverse spectral problem

DOI10.1007/BF01056762zbMath0601.39004MaRDI QIDQ1081038

M. E. Shmoĭsh, Michael I. Gekhtman, Yurij M. Berezansky

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Hilbert spacespectral measureinverse spectral problemBorel setnonlinear difference equationsnon-abelian Toda chainpseudo-orthogonalization

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (13)

On generalized spectral functions, the parametrization of block Hankel and block Jacobi matrices, and some root location problems ⋮ A Gelfand pair of compact quantum groups ⋮ Duality of algebras with an involution and generalized shift operators ⋮ On Weyl-Titchmarsh theory for singular finite difference Hamiltonian systems ⋮ Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants ⋮ Solution of the finite Toda lattice with self-consistent source ⋮ Solution of infinite Toda chains ⋮ A norm estimation for the generalized quasitranslation operator by orthogonal polynomials ⋮ Isospectral deformations of random Jacobi operators ⋮ Non-isospectral deformations of Jacobi matrices and nonlinear difference equations ⋮ Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations ⋮ Nonisospectral nonlinear difference equations ⋮ Trace formulas and Borg-type theorems for matrix-valued Jacobi and Dirac finite difference operators

Cites Work

• Unnamed Item
• Projective spectral theorem
• Discrete and continuous boundary problems

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