Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Gorbunov O. V., Shieh C., Yurko V. A. SYSTEMS OF DIFFERENTIAL EQUATIONS ON THE LINE WITH REGULAR SINGULARITIES. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, vol. 15, iss. 1, pp. 27-30. DOI: 10.18500/1816-9791-2015-15-1-27-31, EDN: TMMCJF

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
02.03.2015
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.984
DOI: 
10.18500/1816-9791-2015-15-1-27-31
EDN: 
TMMCJF

SYSTEMS OF DIFFERENTIAL EQUATIONS ON THE LINE WITH REGULAR SINGULARITIES

Autors: 
Gorbunov O. V., Saratov State University
Shieh C.-T., Tamkang University
Yurko Vjacheslav Anatol'evich, Saratov State University
Abstract: 

Non-selfadjoint second order differential systems on the line having a non-integrable regular singularity are studied. We construct special fundamental systems of solutions with prescribed analytic and asymptotic properties. Asymptotics of the corresponding Stockes multipliers is established.

Key words: 
differential systems
singularity
spectral analysis
References: 
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Received: 
17.10.2014
Accepted: 
28.02.2015
Published: 
31.03.2015
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