Kondakova S. On asymptotic expansions of solutions to singular perturbed systems of linear differential equations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U002630

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

14-06-2004

Specialized Academic Board

Д 26.001.37

Taras Shevchenko National University of Kyiv

Essay

The object are singular perturbed systems of liner differential equations with slowly changing coefficients and degenerate matrix near derivative; by the method of the theory of transforming matrices we developed a general algorithm for the receiving the formal solution of rational and integer ranges systems with different type of roots of the characteristic equation (including the turning point); it is made by means of perturbed characteristic equation; the asymptotic characteristics of the obtain result are investigated

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