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Mathematics
Systems of differential equations on the line with regular singularities
O. B. Gorbunova, C.-T. Shiehb, V. A. Yurkoa a Saratov State University, 83, Astrakhanskaya str., 410012, Saratov, Russia
b Tamkang University, Taiwan
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.
Citation:
O. B. Gorbunov, C.-T. Shieh, V. A. Yurko, “Systems of differential equations on the line with regular singularities”, Izv. Saratov Univ. Math. Mech. Inform., 15:1 (2015), 27–31
Linking options:
https://www.mathnet.ru/eng/isu560 https://www.mathnet.ru/eng/isu/v15/i1/p27
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