SOME EXISTENCE RESULTS OF SEMILINEAR SINGULARLY PERTURBED NONLOCAL BOUNDARY VALUE PROBLEMS

被引：1

作者：

Wang, Sheng-Ping ^{[1
]}

机构：

[1] Cardinal Tien Coll Healthcare & Management, Holist Educ Ctr, Sanxing Township 26646, Yilan County, Taiwan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2014年 / 18卷 / 04期

关键词：

Singular perturbation; Barrier solutions; Boundary layer; Interior layer; Multi-point boundary value problem; ORDINARY DIFFERENTIAL-EQUATIONS; PERTURBATIONS;

D O I：

10.11650/tjm.18.2014.2860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By standard barrier solution method associated with Schauder fixed point theorem, we establish an existence theory for nonlinear second order nonlinear multi-point boundary value problem (1.3), (1.4). Through the pervious existence theorem, we mainly work out some asymptotic behaviors of solutions for semilinear singularly perturbed three-point boundary value problem (1.1), (1.2). Barrier solutions will be constructed explicitly when the boundary or interior layers occur, respectively.

引用

页码：1071 / 1087

页数：17

共 50 条

[1] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo Jiaqi Yao Jingsun (Anhui Normal Univerisity
[J]. Analysis in Theory and Applications, 2001, (04) : 11 - 16
[2] On the existence of symmetric solutions to some singularly perturbed semilinear elliptic problems
Pistoia, A
[J]. ASYMPTOTIC ANALYSIS, 2000, 22 (02) : 149 - 161
[3] On the existence of symmetric solutions to some singularly perturbed semilinear elliptic problems
[J]. 2000, IOS Press (22)
[4] BOUNDARY AND INTERIOR LAYER BEHAVIOR OF SOLUTIONS OF SOME SINGULARLY PERTURBED SEMILINEAR ELLIPTIC BOUNDARY-VALUE-PROBLEMS
DESANTI, AJ
[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 1986, 65 (03): : 227 - 262
[5] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION OF HIGHER ORDER
Chen Songlin (East China Institute of Metallurgy
[J]. Analysis in Theory and Applications, 2000, (03) : 100 - 105
[6] The singularly perturbed boundary value problems for higher order semilinear elliptic equations
Mo, JQ
Xu, YX
[J]. ACTA MATHEMATICA SCIENTIA, 1997, 17 (01) : 44 - 50
[7] Singularly perturbed semilinear elliptic boundary value problems with discontinuous source term
Dongdong Nie
Feng Xie
[J]. Boundary Value Problems, 2016
[8] A class of singularly perturbed robin boundary value problems for semilinear elliptic equation
Mo J.
[J]. Applied Mathematics-A Journal of Chinese Universities, 2001, 16 (4) : 364 - 368
[9] THE SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR HIGHER ORDER SEMILINEAR ELLIPTIC EQUATIONS
莫嘉琪
许玉兴
[J]. Acta Mathematica Scientia, 1997, (01) : 44 - 50
[10] A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
Mo JiaqiDept.of Math.
[J]. Applied Mathematics:A Journal of Chinese Universities, 2001, (04) : 364 - 368

← 1 2 3 4 5 →