Rvachova T. The generalized Taylor series and their applications

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U001882

Thesis Registration Form

0406U001882.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

14-04-2006

Specialized Academic Board

K64.051.11

Essay

The thesis is devoted to a research of the different problems connected with generalized Taylor series (GTS). In it the existence of the asymptotics for basic functions of the GTS is proved; the corresponding asymptotic formulas are obtained. The theorem of the relation between the coefficients and the sum of the GTS is proved; the sufficient conditions of the analyticity and of belonging to Gevrey class and A-space of Roumieu are obtained. The existence and uniqueness of solutions with the compact support of some FDE connected with a theory of the GTS are proved.

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Files

aref.doc

dis.pdf

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