Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function

Ma RY; Han XL

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Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function

机译：不定权函数的非线性特征值问题正解的存在性和多重性

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摘要

This paper is concerned with the existence, multiplicity and stability of positive solutions of an indefinite weight boundary value problem u '' + lambda a(t)f(u) = 0, 0 < t < 1, u(0) = u(1) = 0, where a is an element of C[0,1] changes sign. The proof of our main result is based upon bifurcation techniques.

机译：本文涉及一个不确定权重边值问题u''+ lambda a（t）f（u）= 0，0

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《Applied mathematics and computation》 |2009年第3期|共7页
作者
Ma RY; Han XL;
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正文语种 eng
中图分类数值分析;
关键词
Indefinite weight problem; Bifurcation; Positive solutions;

机译：不确定重量问题;分叉;正解;

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专利

1. Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function [J] . Ma RY, Han XL Applied mathematics and computation . 2009,第3期

机译：不定权函数的非线性特征值问题正解的存在性和多重性
2. Existence of nodal solutions of a nonlinear eigenvalue problem with indefinite weight function [J] . Ruyun Ma, Xiaoling Han Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第5a6期

机译：不定权函数的非线性特征值问题的节点解的存在性
3. On Critical Exponent for the Existence and Stability Properties of Positive Weak Solutions for some Nonlinear Elliptic Systems Involving the (e?‘?, e?‘?)-Laplacian and Indefinite Weight Function [J] . G A Afrouzi, J Vahidi Proceedings of the Indian Academy of Sciences. Mathematical sciences . 2011,第1期

机译：具有（e？′?, e？′？）-Laplacian和不定权函数的某些非线性椭圆系统的正弱解的存在性和稳定性的临界指数
4. Multiple existence of positive solutions to quasilinear elliptic equations involving indefinite lower terms [C] . Kimiaki Narukawa International Conference on Mathematical Problems in Engineering, Aerospace and Sciences . 2012

机译：拟线性椭圆方程的阳性解的多重存在涉及无限期术语
5. Existence and multiplicity of positive solutions of nonlinear integral and differential equations. [D] . Wang, Haiyan. 1997

机译：非线性积分和微分方程正解的存在性和多重性。
6. Multiplicity and asymptotic behavior of solutions for Kirchhoff type equations involving the Hardy–Sobolev exponent and singular nonlinearity [O] . Liejun Shen -1

机译：具有Hardy-Sobolev指数和奇异非线性的Kirchhoff型方程解的多重性和渐近性
7. On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem [O] . Delgado Delgado, Manuel, Suárez Fernández, Antonio 2004

机译：一类不确定的非线性特征值问题正解的存在性与多重性
8. On the Structure of Continua of Positive and Concave Solutions for Twopoint Nonlinear Eigenvalue Problems. [R] . clement,ph. emmerth, i. b. 1977

机译：关于两点非线性特征值问题正凹解的连续结构。

Existence and multiplicity of positive solutions of a nonlinear eigenvalue problem with indefinite weight function

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