[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