Criteria for the Existence of an Isolated Solution of a Nonlinear Boundary-Value Problem

被引：5

作者：

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

Temesheva, S. M. ^{[1
,3
]}

机构：

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

[2] Int Univ Informat Technol, Alma Ata, Kazakhstan

[3] Al Farabi Kazakh Natl Univ, Alma Ata, Kazakhstan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2018年 / 70卷 / 03期

关键词：

ORDINARY DIFFERENTIAL-EQUATIONS;

D O I：

10.1007/s11253-018-1507-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonlinear two-point boundary-value problem for an ordinary differential equation is studied by the method of parametrization. We construct systems of nonlinear algebraic equations that enable us to find the initial approximation to the solution to the posed problem. In terms of the properties of constructed systems, we establish necessary and sufficient conditions for the existence of an isolated solution to the analyzed boundary-value problem.

引用

页码：410 / 421

页数：12

共 50 条

[1] Criteria for the Existence of an Isolated Solution of a Nonlinear Boundary-Value Problem
D. S. Dzhumabaev
S. M. Temesheva
Ukrainian Mathematical Journal, 2018, 70 : 410 - 421
[2] ON THE EXISTENCE OF A GENERALIZED SOLUTION OF A NONLINEAR MIXED BOUNDARY-VALUE PROBLEM OF ELASTICITY
CHMAJ, J
MAJCHROWSKI, M
ARCHIVES OF MECHANICS, 1985, 37 (03): : 187 - 191
[3] Necessary and sufficient conditions for the existence of an "isolated" solution of a nonlinear two-point boundary-value problem
Dzhumabaev D.S.
Temesheva S.M.
Journal of Mathematical Sciences, 2013, 194 (4) : 341 - 353
[4] Existence and Asymptotic Properties of the Solution of a Nonlinear Boundary-Value Problem on the Real Axis
Parasyuk I.O.
Protsak L.V.
Journal of Mathematical Sciences, 2022, 263 (2) : 248 - 257
[5] ON THE EXISTENCE AND UNIQUENESS OF SOLUTION OF A NONCLASSICAL BOUNDARY-VALUE PROBLEM
MOISEEV, EI
DOKLADY AKADEMII NAUK, 1994, 336 (04) : 448 - 450
[6] THE EXISTENCE OF POSITIVE SOLUTIONS TO A SINGULAR NONLINEAR BOUNDARY-VALUE PROBLEM
WANG, JY
JIANG, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (02) : 322 - 329
[7] EXISTENCE OF SOLUTIONS FOR A NONLINEAR BOUNDARY-VALUE PROBLEM FOR A ROTATING STRING
LUNING, CD
PERRY, WL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (06): : A658 - A658
[8] SOLUTION OF A NONLINEAR 2 POINT BOUNDARY-VALUE PROBLEM
MOCK, MS
NUMERISCHE MATHEMATIK, 1974, 23 (01) : 37 - 46
[9] An existence result for a nonlinear boundary-value problem of hyperbolic type
Barbu, Viorel
Vrabie, Ioan I.
Nonlinear Analysis, Theory, Methods and Applications, 1997, 1 (04): : 373 - 382
[10] On a smooth solution of a nonlinear periodic boundary-value problem
I. V. Dombrovskii
Ukrainian Mathematical Journal, 1999, 51 (11) : 1779 - 1781

← 1 2 3 4 5 →