Metadata (abstracts and keywords) for the articles in the journal
Orlov V. N., 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. № 3(17). p. 119-130
Author(s):
Orlov V. N., 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
The article considers a first-order nonlinear ordinary differential equation with moving singularity which cannot be solved in quadratures in general case. The proof of the existence and uniqueness theorem for the solution of this equation in some neighborhood of moving singularity is provided. The approximate solution of the equation in neighborhood of moving singularity is constructed and research of influence of perturbation of moving singularity on the approximate solution is carried out. The results obtained in the complex domain are accompanied by calculations.
The contact details of authors:
1. Orlov, Victor Nikolayevich Dr. of Phys. & Math. Sci., Professor, I. Yakovlev Chuvash State Pedagogical University, Cheboksary
2. Guz, Marina Pavlovna Post-graduate Student, Department of Algebra, I. Yakovlev Chuvash State Pedagogical University, Cheboksary
Russian
English