An integral representation of solutions and the problem of coupling factors for a linear differential equation

DOI10.1007/BF01084154zbMath0584.34021OpenAlexW2053295690WikidataQ115394219 ScholiaQ115394219MaRDI QIDQ1070408

M. A. Kovalevskij

Publication date: 1986

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01084154

zbMATH Keywords

singular pointsfundamental set of solutionsintegrals of Mellin-Barns type

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30)

Cites Work

• Unnamed Item
• Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions
• A two point connection problem for general linear ordinary differential equations
• Numerical Analysis of Spectral Properties of Coupled Oscillator Schrodinger Operators I. Single and Double Well Anharmonic Oscillators
• On the Reduction of Connection Problems for Differential Equations with an Irregular Singular Point to Ones with Only Regular Singularities, I

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