On a recurrence method for solving a singularly perturbed Cauchy problem for a second order equation

被引：0

作者：

Kal'menov T.S. ^{[1
]}

Shaldanbaev A.S. ^{[2
]}

机构：

[1] Institute of Mathematics, Informatics, and Mechanics, Almaty

[2] South-Kazakh State University

来源：

Siberian Advances in Mathematics | 2011年 / 21卷 / 4期

关键词：

differential equation with deviating argument; singular Cauchy problem; spectral resolutions of selfadjoint operators;

D O I：

10.3103/S1055134411040055

中图分类号：

学科分类号：

摘要：

In the present article, the method of deviating argument is applied to solving a singularly perturbed Cauchy problem for an ordinary differential equation of the second order with variable coefficients. © 2011 Allerton Press, Inc.

引用

页码：274 / 281

页数：7

共 50 条

[1] On one method for the analysis of the Cauchy problem for a singularly perturbed inhomogeneous second-order linear differential equation
Bukzhalev, E. E.
[J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2017, 57 (10) : 1635 - 1649
[2] On one method for the analysis of the Cauchy problem for a singularly perturbed inhomogeneous second-order linear differential equation
E. E. Bukzhalev
[J]. Computational Mathematics and Mathematical Physics, 2017, 57 : 1635 - 1649
[3] Solution of Singularly Perturbed Cauchy Problem for Ordinary Differential Equation of Second Order with Constant Coefficients by Fourier Method
Shaldanbayev, Amir Sh.
Shomanbayeva, Manat T.
[J]. INTERNATIONAL CONFERENCE FUNCTIONAL ANALYSIS IN INTERDISCIPLINARY APPLICATIONS (FAIA2017), 2017, 1880
[4] Cauchy Problem for a Singularly Perturbed Delay Equation
N. T. Levashova
N. A. Mikheev
[J]. Moscow University Physics Bulletin, 2023, 78 : 595 - 602
[5] Cauchy Problem for a Singularly Perturbed Delay Equation
Levashova, N. T.
Mikheev, N. A.
[J]. MOSCOW UNIVERSITY PHYSICS BULLETIN, 2023, 78 (05) : 595 - 602
[6] A Method to Study the Cauchy Problem for a Singularly Perturbed Homogeneous Linear Differential Equation of Arbitrary Order
Bukzhalev, E. E.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2018, 73 (02) : 41 - 49
[7] The Shooting Method for the Second Order Singularly Perturbed Differential Equation
Demir, Duygu Donmez
Koca, Erhan
[J]. PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM-2015), 2016, 1738
[8] The Cauchy problem for singularly perturbed weakly nonlinear second-order differential equations: An iterative method
Bukzhalev E.E.
[J]. Moscow University Computational Mathematics and Cybernetics, 2017, 41 (3) : 113 - 121
[9] A Method for Studying the Cauchy Problem for a Singularly Perturbed Weakly Nonlinear First-Order Differential Equation
Bukzhalev, E. E.
[J]. MOSCOW UNIVERSITY PHYSICS BULLETIN, 2018, 73 (01) : 53 - 56
[10] A Method for Studying the Cauchy Problem for a Singularly Perturbed Weakly Nonlinear First-Order Differential Equation
E. E. Bukzhalev
[J]. Moscow University Physics Bulletin, 2018, 73 : 53 - 56

← 1 2 3 4 5 →