Stokes' phenomenon and the absolutely continuous spectrum of one-dimensional Schrödinger operators

DOI10.1016/j.cam.2004.01.012zbMath1085.34069OpenAlexW1963680767MaRDI QIDQ596244

Sumit K. Garg

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.012

zbMATH Keywords

Schrödinger operatorsLiouville-Green approximationAbsolutely continuous spectrumOne-dimensionalStokes' phenomena

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Cites Work

• On subordinacy and analysis of the spectrum of one-dimensional Schrödinger operators
• Bounded solutions and absolute continuity of Sturm-Liouville operators
• Asymptotic simplification of self-adjoint differential equations with a parameter
• Asymptotic Approximations of Integrals
• General connection formulae for Liouville-Green approximations in the complex plane
• On Matrix-Valued Herglotz Functions
• ASYMPTOTIC METHODS IN THE THEORY OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS
• Oscillatory and Non-Oscillatory Linear Differential Equations
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