Unique solvability of a coupling problem for entire functions

Abstract

We establish the unique solvability of a coupling problem for entire functions which arises in inverse spectral theory for singular second order ordinary differential equations/two-dimensional first order systems and is also of relevance for the integration of certain nonlinear wave equations.

19 pages

References in corpus (2)

• An isospectral problem for global conservative multi-peakon solutions of the Camassa-Holm equation
• On the isospectral problem of the dispersionless Camassa-Holm equation

Cited by in corpus (4)

• The inverse spectral problem for periodic conservative multi-peakon solutions of the Camassa-Holm equation
• The modified Camassa-Holm equation on a nonzero background: large-time asymptotics for the Cauchy problem
• Continued fraction expansions of Herglotz-Nevanlinna functions and generalized indefinite strings of Stieltjes type
• A Riemann-Hilbert approach to the modified Camassa-Holm equation with step-like boundary conditions