Exact and approximate solutions of second order including function delay differential equations with variable coefficients

被引：6

作者：

Yalçinbas, S ^{[1
]}

Yeniçerioglu, AF ^{[1
]}

机构：

[1] Suleyman Demirel Univ, Fac Sci, Dept Math, TR-32260 Isparta, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 01期

关键词：

D O I：

10.1016/S0096-3003(02)00854-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the method of steps and the method of power series, the exact solution of the initial value problem for coupled second order delay differential equations with variable coefficients is constructed. Then, in a bounded domain, a finite analytic solution with error bounds is provided. (C) 2002 Elsevier Inc. All rights reserved.

引用

页码：287 / 298

页数：12

共 50 条

[1] The Exact Solution of Second-Order Variable Delay Differential Equations
Zhou, Shiping
Feng, Wei
2011 INTERNATIONAL CONFERENCE ON COMPUTERS, COMMUNICATIONS, CONTROL AND AUTOMATION (CCCA 2011), VOL III, 2010, : 501 - 504
[2] On the stability of the second-order delay differential equations with variable coefficients
Yeniçerioglu, AF
Yalçinbas, S
APPLIED MATHEMATICS AND COMPUTATION, 2004, 152 (03) : 667 - 673
[3] Oscillation of solutions of second-order neutral delay differential equations with integrable coefficients
Li, HJ
MATHEMATICAL AND COMPUTER MODELLING, 1997, 25 (03) : 69 - 79
[4] Classification scheme for nonoscillatory solutions of second order neutral differential equations with variable coefficients
He, W.S.
Lanzhou Daxue Xuebao/Journal of Lanzhou University, 2001, 37 (02):
[5] Approximate Solutions Of Time-fractional Fourth-order Differential Equations With Variable Coefficients
Wang, Xiaohua
JOURNAL OF APPLIED SCIENCE AND ENGINEERING, 2023, 26 (09): : 1225 - 1237
[6] BOUNDEDNESS OF SOLUTIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS AND SECOND-ORDER DIFFERENTIAL EQUATIONS WITH DELAY
汤慕忠
黄树荣
ChineseScienceBulletin, 1989, (02) : 171 - 172
[7] Oscillations of a class of second-order nonlinear delay differential equations with variable sign coefficients
Zou, Jietao
Zhang, Jianguo
Han, Xiaoyou
Zhu, Hongxia
SNPD 2007: EIGHTH ACIS INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING, ARTIFICIAL INTELLIGENCE, NETWORKING, AND PARALLEL/DISTRIBUTED COMPUTING, VOL 3, PROCEEDINGS, 2007, : 512 - +
[8] Asymptotic solutions for second order delay differential equations
Pinto, M
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 28 (10) : 1729 - 1740
[9] The behavior of solutions of second order delay differential equations
Yenicerioglu, Ali Fuat
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 332 (02) : 1278 - 1290
[10] Solving second-order differential equations with variable coefficients
Wilmer, A., III
Costa, G. B.
INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2008, 39 (02) : 238 - 243

← 1 2 3 4 5 →