ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Birth of Periodic Solutions of Differential Equation with Delay from the Balance Point



Russia, 620083, Ekaterinburg, Lenin st., 51.
Ural State University,
Math. Department


In this article differential equation with constant delay are considered. For this equation bifurcation of birth of periodic solutions from the balance point are investigated. The base for construction of ramification equation is a special integral equation. New procedure of derivation of integral equation which use special boundary problems for systems of ordinary differential equations are proposed. The Modification of Hopf method is used in order to analyze a system of ramification equations. The conditions of existence and stability are obtained.

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