Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function

被引：15

作者：

Ma, Ruyun ^{[1
]}

Han, Xiaoling ^{[1
]}

机构：

[1] NW Normal Univ, Dept Math, Mathemat & Informat Sci Coll, Lanzhou 730070, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 5-6期

关键词：

Indefinite weight; Bifurcation; Nodal solutions; POSITIVE SOLUTIONS;

D O I：

10.1016/j.na.2009.01.046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of nodal solutions of an indefinite weight boundary value problem u '' + rh(t)f(u) = 0, 0 < t < 1, u(0) = u(1) = 0, where h is an element of C[0,1] changes sign. The proof of our main result is based upon bifurcation techniques. (C) 2009 Published by Elsevier Ltd

引用

页码：2119 / 2125

页数：7

共 50 条

[1] Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function
Ma, Ruyun
Han, Xiaoling
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1077 - 1083
[2] ON THE EXISTENCE OF POSITIVE EIGENFUNCTIONS FOR AN EIGENVALUE PROBLEM WITH INDEFINITE WEIGHT FUNCTION
BROWN, KJ
LIN, SS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (01) : 112 - 120
[3] On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem
Delgado, M
Suárez, A
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (06) : 1721 - 1728
[4] A LINEAR EIGENVALUE PROBLEM WITH INDEFINITE WEIGHT FUNCTION
ROTHER, W
[J]. ARCHIV DER MATHEMATIK, 1993, 60 (06) : 539 - 542
[5] EXISTENCE OF SOLUTIONS FOR AN EIGENVALUE PROBLEM WITH WEIGHT
El Amrouss, Abdel Rachid
El Habib, Siham
Tsouli, Najib
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[6] Existence of solutions of a nonlinear eigenvalue problem and their properties
Valovik, D. V.
Tikhov, S. V.
[J]. SBORNIK MATHEMATICS, 2024, 215 (01) : 52 - 73
[7] Nonhomogeneous eigenvalue problem with indefinite weight
Ge, Bin
Geng, Chang
[J]. COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (02) : 266 - 277
[8] Existence of positive solutions for a general nonlinear eigenvalue problem
Cheng, Xi-you
Zhang, Zhi-tao
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2011, 27 (03): : 367 - 372
[9] Existence of positive solutions for a general nonlinear eigenvalue problem
Xi-you Cheng
Zhi-tao Zhang
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27 : 367 - 372
[10] On the existence of positive solutions of a singular nonlinear eigenvalue problem
Maatoug, L
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (01) : 192 - 204

← 1 2 3 4 5 →