Metadata (abstracts and keywords) for the articles in the journal
Guz M. P. Investigation of the influence of disturbances moving singular point on the approximate solution of the cauchy problem of the nonlinear differential equations in the complex domain // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2013. № 4(18). p. 43-51
Author(s):
Guz M. P.
Index of UDK:
517.927.4
DOI:
Title:
Investigation of the influence of disturbances moving singular point on the approximate solution of the cauchy problem of the nonlinear differential equations in the complex domain
Keywords:
nonlinear differential equation, Cauchy problem, the necessary and sufficient conditions of existence, movable singular points, the exact criteria for existence.
Abstracts:
Is considered an ordinary non-linear differential equation of the first order with polynomial part of the fourth degree, having movable singularities and generally not resolvable in quadratures. The article provides precise criteria for the existence of movable singular points of solutions of the given equation. Criteria need to build a movable singular points of solutions of the equation with the required accuracy. Research carried out for the case of the complex domain.
The contact details of authors:
Guz, Marina Pavlovna Post-graduate Student, Department of Algebra, I. Yakovlev Chuvash State Pedagogical University, Cheboksary
Russian
English