ON THE PARAMETRIZATION OF BOUNDARY-VALUE PROBLEMS WITH THREE-POINT NON-LINEAR RESTRICTIONS

被引：7

作者：

Ronto, Miklos ^{[1
]}

Marynets, K. ^{[2
]}

机构：

[1] Univ Miskolc, Dept Anal, H-3515 Miskolc, Hungary

[2] Uzhgorod Natl Univ, Uzhgorod, Ukraine

来源：

MISKOLC MATHEMATICAL NOTES | 2012年 / 13卷 / 01期

关键词：

three-point non-linear boundary-value problem; successive approximations; numerical-analytic method; determining system;

D O I：

10.18514/MMN.2012.444

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain some results concerning the solutions of certain types of three-point nonlinear boundary-value problems, subject to non-linear boundary conditions. We reduce the given problem to a parametrized one with linear two-point boundary restrictions containing some artificially introduced parameters. By the study of the transformed two-point problem we justify our method, which is based upon a special type of approximations constructed in analytic form.

引用

页码：91 / 106

页数：16

共 50 条

[41] Three-point boundary value problems in Banach spaces
Santos, Dionicio Pastor Dallos
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2019, 25 (02): : 351 - 362
[42] EXISTENCE OF MULTIPLE SOLUTIONS FOR THREE-POINT BOUNDARY-VALUE PROBLEMS ON INFINITE INTERVALS IN BANACH SPACES
Zhao, Yulin
Chen, Haibo
Xu, Chengjie
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[43] DOUBLE SOLUTIONS OF THREE-POINT BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS
Henderson, Johnny
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[44] MULTIPLE POSITIVE SOLUTIONS FOR NONLINEAR THIRD-ORDER THREE-POINT BOUNDARY-VALUE PROBLEMS
Guo, Li-Jun
Sun, Jian-Ping
Zhao, Ya-Hong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2007,
[45] POSITIVE SOLUTIONS TO GENERALIZED SECOND-ORDER THREE-POINT INTEGRAL BOUNDARY-VALUE PROBLEMS
Chasreechai, Saowaluk
Tariboon, Jessada
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,
[46] SINGULAR PERTURBATIONS OF NON-LINEAR ELLIPTIC AND PARABOLIC VARIATIONAL BOUNDARY-VALUE PROBLEMS
TON, BA
CANADIAN JOURNAL OF MATHEMATICS, 1966, 18 (04): : 861 - &
[47] BOUNDARY-VALUE PROBLEMS IN STRATIFIED SHEAR FLOWS WITH A NON-LINEAR CRITICAL LAYER
MARGOLIS, SB
SU, CH
PHYSICS OF FLUIDS, 1978, 21 (08) : 1247 - 1259
[48] INITIAL BOUNDARY-VALUE PROBLEMS IN ONE-DIMENSIONAL NON-LINEAR THERMOELASTICITY
RACKE, R
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 1988, 10 (05) : 517 - 529
[49] APPROXIMATE METHODS OF SOLVING NON-LINEAR BOUNDARY-VALUE PROBLEMS WITH A SMALL PARAMETER
KALJAKIN, LA
MATHEMATICS OF THE USSR-SBORNIK, 1976, 28 (04): : 491 - 500
[50] LOCAL ERROR BOUNDS FOR BOUNDARY-VALUE PROBLEMS OF NON-LINEAR ELASTICITY THEORY
LABISCH, F
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1978, 58 (06): : T212 - T215

← 1 2 3 4 5 →