Net'osova O. Application of group analysis for solution of nonlinerial evolutionary problems for partial differential equations.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0499U000494

Thesis Registration Form

0499U000494.pdf

Applicant for

Net'osova Oleksandra Mykhajlivna

Specialization

01.01.02 - Диференційні рівняння

Date of defense

16-03-1999

Specialized Academic Board

Д 26.206.02

The Institute of Mathematics of NASU

Essay

Group theoretical propertied of nonlinear evolutionary problems for partial differential equations. Study invariant propertied and construct group-invariant solutions for nonlinear evolutionary problems. Method of investigation - Lie-Ovsjannikov theory. Work out method of investigation group propertie nonlinear evolutionary problems. Necessary and sufficient conditions existence and uniqueness its invariant solutions are obtained. Group-invariant solutions concrete problems are found. District of application common of theory for nonlinear partial differential equations and then applications.

Thesis supervisor

Березовський А.А.

Official opponents

Селезов І.Т.
Нікітін А.Г.

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