Grytsaj I. Design and investigation of mathematical model of dynamical systems with quadratic nonlinearity.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U005077

Thesis Registration Form

0406U005077.pdf

Applicant for

Specialization

  • 01.05.02 - Математичне моделювання та обчислювальні методи

14-12-2006

Specialized Academic Board

Д 26.001.35

Taras Shevchenko National University of Kyiv

Essay

The thesis considers investigation methods of stability solution for different types of nonlinear differential, difference, differential-difference systems with quadratic right-hand side. The criteria of stabilization for the systems with pure delay were defined. Lotka-Volterra model was investigated, the theorems concerning asymptotic stability area were proven, the influence of delay on the area of asymptotic stability was defined. The mathematical model of levitationly carriage dynamics was constructed in the thesis. The model solutions were obtained.

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Files

Diser01.doc

Diser02.doc

Diser03.doc

Diser04.doc

Diser05.doc

Diser06.doc

Diser07.doc

Diser08.doc

Diser09.doc

Diser10.doc

aref.doc

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