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Sbornik: Mathematics, 2006, Volume 197, Issue 9, Pages 1341–1351
DOI: https://doi.org/10.1070/SM2006v197n09ABEH003801 (Mi sm1353) 		 
Lagrangian asymptotic behaviour of solutions of inhomogeneous systems of ordinary differential equations

L. D. Kudryavtsev

Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.1070/SM2006v197n09ABEH003801
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.
Received: 19.10.2005
Russian version:
Matematicheskii Sbornik, 2006, Volume 197, Number 9, Pages 91–102
DOI: https://doi.org/10.4213/sm1353
Bibliographic databases:
Document Type: Article
UDC: 517.91/.93
MSC: 34D05, 34E10
Language: English
Original paper language: Russian
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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    Russian version PDF:218
    English version PDF:17
    References:76
    First page:6
     
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