On the solution of nonlinear two-point boundary value problem

被引：0

作者：

Huang, WH ^{[1
]}

Cao, JS

Shen, ZH

机构：

[1] Wuxi Univ Light Ind, Dept Math & Phys Sci, Wuxi 214036, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210008, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 1998年 / 19卷 / 09期

关键词：

Hilbert space; diffeomorphism; nonlinear two-point boundary value problem; unique solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a non-variational version of a max-min principle is proposed, and all existence and uniqueness result is obtained for the nonlinear two-point boundary value problem u" + g(t, u) = f(t), u(0) = u(2 pi) = 0.

引用

页码：889 / 894

页数：6

共 50 条

[1] An Existence of an Isolated Solution to Nonlinear Two-Point Boundary Value Problem with Parameter
B. B. Minglibayeva
A. T. Assanova
[J]. Lobachevskii Journal of Mathematics, 2021, 42 : 587 - 597
[2] A NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM AT RESONANCE
马如云
[J]. Science Bulletin, 1992, (02) : 172 - 172
[3] An Existence of an Isolated Solution to Nonlinear Two-Point Boundary Value Problem with Parameter
Minglibayeva, B. B.
Assanova, A. T.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2021, 42 (03) : 587 - 597
[4] On a unique solution for the two-point boundary value problem
Zhang, SQ
Zhong, CK
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 247 (02) : 653 - 657
[5] Constructing a Solution of a Two-Point Boundary Value Problem for a Nonlinear Matrix Lyapunov Equation
V. N. Laptinskii
I. I. Makovetskii
[J]. Differential Equations, 2020, 56 : 135 - 139
[6] Constructing a Solution of a Two-Point Boundary Value Problem for a Nonlinear Matrix Lyapunov Equation
Laptinskii, V. N.
Makovetskii, I. I.
[J]. DIFFERENTIAL EQUATIONS, 2020, 56 (01) : 135 - 139
[7] A nonlinear two-point boundary-value problem in geophysics
Marynets, Kateryna
[J]. MONATSHEFTE FUR MATHEMATIK, 2019, 188 (02): : 287 - 295
[8] Multiplicity of solutions to a nonlinear two-point boundary value problem
Zhu, PC
Qin, YM
[J]. PROGRESS IN NATURAL SCIENCE, 1999, 9 (08): : 570 - 579
[9] Multiplicity of solutions to a nonlinear two-point boundary value problem
朱佩成
秦玉明
[J]. Progress in Natural Science:Materials International, 1999, (08) : 3 - 5
[10] A two-point boundary value problem in nonlinear stability analysis
Luyckx, L
Loccufier, M
Noldus, E
[J]. COMPUTING ANTICIPATORY SYSTEMS, 2002, 627 : 468 - 479

← 1 2 3 4 5 →