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 Mat. Sb., 2006, Volume 197, Number 9, Pages 91–102 (Mi msb1353)

Lagrangian asymptotic behaviour of solutions of inhomogeneous systems of ordinary differential equations

L. D. Kudryavtsev

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The problem under consideration concerns when a system of ordinary differential equations reducible to a weakly non-linear system has solutions with the same asymptotic behaviour as solutions of the corresponding homogeneous system. The existence and uniqueness of global solutions to the inhomogeneous system is established in the form of a solution to a homogeneous system of differential equations, in the case when asymptotic initial data is prescribed at the singular points of these systems.
Bibliography: 6 titles.

DOI: https://doi.org/10.4213/sm1353

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English version:
Sbornik: Mathematics, 2006, 197:9, 1341–1351

Bibliographic databases:

UDC: 517.91/.93
MSC: 34D05, 34E10

Citation: L. D. Kudryavtsev, “Lagrangian asymptotic behaviour of solutions of inhomogeneous systems of ordinary differential equations”, Mat. Sb., 197:9 (2006), 91–102; Sb. Math., 197:9 (2006), 1341–1351

Citation in format AMSBIB
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