New General Solutions of Ordinary Differential Equations and The Methods for The Solution of Boundary-Value Problems

被引：12

作者：

Dzhumabaev, D. S. ^{[1
,2
]}

机构：

[1] Kazakhstan Minist Educ & Sci, Inst Math & Math Simulat, Astana, Kazakhstan

[2] Al Farabi Kazakh Natl Univ, Int Univ Informat Technol, Alma Ata, Kazakhstan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 71卷 / 07期

关键词：

APPROXIMATION; SOLVABILITY; CRITERIA;

D O I：

10.1007/s11253-019-01694-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New general solutions of ordinary differential equations are introduced and their properties are established. We develop new methods for the solution of boundary-value problems based on the construction and solution of the systems of algebraic equations for arbitrary vectors of the general solutions. An approach to finding the initial approximation to the required solution of a nonlinear boundary-value problem is proposed.

引用

页码：1006 / 1031

页数：26

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