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[5] Orlov V.N. Metod priblizhennogo resheniya skalyarnogo i matrichnogo

differentsial’nykh uravneniy Rikkati [Approximate method to solve scalar and matrix

Riccati’s differential equations]. Cheboksary, Perfektum Publ., 2012. 112 p.

[6] Orlov V.N., Leont’eva

T.Yu

. Construction of approximate solution of nonlinear

differential equation in analyticity region.

Mezhdunar. Nauch.-Praktich. Konf.

"Fundamental’nye i prikladnye problemy mekhaniki deformiruemogo tverdogo tela,

matematicheskogo modelirovaniya i informatsionnykh tekhnologiy" [International

Scientific-Training Conf. "Fundamental and Applied Problems of Deformable Solids

Mechanics, Mathematical Simulation, and Information Technologies]. Cheboksary.

August 12–15, 2013, pp. 47–52 (in Russ.).

[7] Orlov V.N. Influence of initial data perturbation on approximate solution of one

nonlinear second-order equation in analyticity region.

Vestn. Chuvash. Gos. Ped.

Univ. im.

I.Ya

. Yakovleva. Ser. Mekh. predel’n. sost.

[Herald of the I. Yakovlev

Chuvash State Pedagogical University, Limit-State Mech.], 2013, no. 3 (17). pp. 103–

109 (in Russ.).

[8] Orlov V.N., Leont’eva

T.Yu

. Construction of approximate solution of nonlinear

differential equation in holomorphy region.

Vestn. Chuvash. Gos. Ped. Univ. im.

I.Ya

. Yakovleva. Ser. Estestv. i tekhn. nauki

[Herald of the I. Yakovlev Chuvash State

Pedagogical University, Nat. and Eng. Sci.], 2013, no. 4 (80), pp. 156–162 (in Russ.).

[9] Orlov V.N., Leont’eva

T.Yu

. Analysis of the influence of initial data perturbation

on approximate solution of one nonlinear second-order equation in the holomorphy

region].

Vestnik RGSU

[Bull. of the Russian State Social University], 2013, no. 1

(28), pp. 108–111 (in Russ.).

[10] Golubev V.V. Lektsii po analiticheskoy teorii differentsial’nykh uravneniy [Lectures

on analytical theory of differential equations]. Moscow, Leningrad, Gostekhizdat

Publ., 1950. 436 p.

[11] Orlov V.N., Guz’ M.P. Analysis of the movable singularity perturbation influence

on Cauchy problem approximate solution of one nonlinear differential equation.

Mezhdunar. Nauch.-Praktich. Konf. “Fundamental’nye i prikladnye problemy

mekhaniki deformiruemogo tverdogo tela, matematicheskogo modelirovaniya i

informatsionnykh tekhnologiy” [Inter. Scientific-Training Conf. “Fundamental and

Applied Problems of Deformable Solids Mechanics, Mathematical Simulation, and

Information Technologies”]. Cheboksary. August 12–15, 2013, pp. 36–46 (in Russ.).

[12] Kamke E. Spravochnik po obyknovennym differentsial’nym uravneniyam [Reference

book on ordinary differential equations]. Moscow, Nauka Publ., 1971. 576 p.

Статья поступила в редакцию 22.05.2014

Орлов Виктор Николаевич — д-р физ.-мат. наук, доцент, заведующий кафедрой

алгебры и геометрии Чувашского государственного педагогического университета

им. И.Я. Яковлева. Автор более 140 научных работ, в том числе монографии и

патентов на изобретение, в области аналитической теории дифференциальных урав-

нений, вычислительной математики, математического моделирования.

Чувашский государственный педагогический университет им. И.Я. Яковлева, Рос-

сийская Федерация, 428000, Чебоксары, ул. К. Маркса, д. 38.

Orlov V.N. — Dr. Sci. (Phys.-Math.), head of the Algebra and Geometry department of the

I. Yakovlev Chuvash State Pedagogical University. Author of more than 140 publications,

including monographs and patents in the field of analytical theory of differential equations,

computational mathematics, mathematical simulation.

I. Yakovlev Chuvash State Pedagogical University, ul. K. Marksa 38, Cheboksary, 428000

Russian Federation.

36

ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. “Естественные науки”. 2015. № 2