Elishevich M. Asymptotic Integration of Linear Differential Equations of First Order with Degeneracy and a Singular Point in the Complex Banach Space

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0403U002625

Thesis Registration Form

0403U002625.pdf

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

23-06-2003

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The Dissertation is devoted to the investigation in complex Banach space of the linear homogeneous and heterogeneous differential equations of the first order with an irregular singular point for the case, when the main term of the expansion into series by independent variable of the operator next to the derivative of the highest order, is singular. The algorithm of the construction of the partial formal solutions has been created. The asymptotic behaviour of the solutions near singular point is considered. Linear independence of the solutions has been proved

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Files

aref.doc

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