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On a weighted boundary value problem for a system of linear ordinary differential equations with a singularity. I. (Russian. English summary) Zbl 0677.34018

Summary: A system of second order differential equations with an irregular singular point is considered. The fundamental system of matrix-solutions is constructed. The asymptotics of these solutions and their derivatives in a neighbourhood of the singular point are considered.

MSC:

34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
34A30 Linear ordinary differential equations and systems
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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