An estimate of the Cauchy matrix function for the Dirac system in the case of finite-gap nonperiodic potentials

DOI10.1007/BF01210223zbMath0802.34011MaRDI QIDQ1326077

A. É. Mamatov, Boris Moiseevich Levitan

Publication date: 13 July 1994

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

zbMATH Keywords

estimatelinear differential systemsfinite-gap potentialCauchy matrix function

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Inverse problems involving ordinary differential equations (34A55)

Related Items

Cauchy problem for degenerating linear differential equations and averaging of approximating regularizations ⋮ On solutions of nonlinear Schrödinger equations with Cantor-type spectrum ⋮ Boundary-value problems for fourth-order equations of hyperbolic and composite types

Cites Work

• Solvability of the inverse problem for the Dirac system on the whole axis
• The inverse problem for periodic potentials