The problem of connection of fundamental families of solutions for a system of linear differential equations with polynomial coefficients
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Publication:923788
DOI10.1007/BF00971151zbMath0712.34008MaRDI QIDQ923788
Publication date: 1990
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
connectiondifference equationMellin-Barnes integralsfundamental family of solutionsglobal representationpower series representation
Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Ordinary differential equations in the complex domain (34M99)
Cites Work
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- Birkhoff invariants and Stokes' multipliers for meromorphic linear differential equations
- Transfer of connection problems for meromorphic differential equations of rank \(r\geq 2\) and representations of solutions
- A two point connection problem
- A global representation of a fundamental set of solutions and a Stokes phenomenon for a system of linear ordinary differential equations
- Asymptotic simplification of self-adjoint differential equations with a parameter
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