On the deformation of linear Hamiltonian systems

DOI10.1016/j.jmaa.2021.125051zbMath1460.35073arXiv2010.05175OpenAlexW3126976277MaRDI QIDQ2661191

Harald Schmid

Publication date: 1 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.05175

zbMATH Keywords

confluent Heun equationmonodromy preserving deformationscomplementary triangular formmatrix Lax pairChandrasekhar-Page equation

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) General spectral theory of ordinary differential operators (34L05)

Uses Software

• DLMF

Cites Work

• Common eigenvectors of two matrices
• Self-adjoint extensions for linear Hamiltonian systems with two singular endpoints
• Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I: General theory and \(\tau \)-function
• Complementary triangular forms of pairs of matrices, realizations with prescribed main matrices, and complete factorization of rational matrix functions
• Spectral theory of ordinary differential operators
• Perturbation theory for linear operators.
• On the eigenvalues of the Chandrasekhar–Page angular equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
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