Existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order differential system with a parameter

Yang J.; Wei Z.

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Existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order differential system with a parameter

机译：具有参数的非线性奇异二阶微分系统Sturm-Liouville边值问题正解的存在性

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摘要

By employing the fixed point theorem of cone expansion and compression of norm type, we investigate the existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order ordinary differential system with a parameter. Some well-known results in the literature are generalized and improved. An example is presented to illustrate the application of our main result.

机译：通过利用范数类型的锥展开和压缩的不动点定理，研究了带参数的非线性奇异二阶常微分系统Sturm-Liouville边值问题正解的存在性。文献中的一些众所周知的结果得到了概括和改进。给出一个例子来说明我们主要结果的应用。

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《Journal of Applied Mathematics and Computing》 |2010年第2期|共17页
作者
Yang J.; Wei Z.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Positive solutions; Second order differential systems; Sturm-Liouville boundary value problems;

机译：正解;二阶微分系统;Sturm-Liouville边值问题;

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专利

1. Existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order differential system with a parameter [J] . Yang J., Wei Z. Journal of Applied Mathematics and Computing . 2010,第1a2期

机译：具有参数的非线性奇异二阶微分系统Sturm-Liouville边值问题正解的存在性
2. Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval [J] . LI Yao-hong 数学季刊（英文版） . 2014,第001期

机译：无限区间上带积分边界条件的二阶非线性奇异微分方程系统正解的存在性
3. Existence of positive solutions for nonlinear singular differential systemsinvolving parameter [J] . A. R. Meenakshi, D. Jaya Shree International journal of mathematical analysis . 2010,第5a8期

机译：带有参数的非线性奇异系统的正解的存在性
4. The Existence of Positive Solutions for Sturm-liouville Boundary Value Problem with Strong Singularity [C] . Li Pengsong, Xie Jisheng, Ai Shu International Conference on Future Electrical Power and Energy Systems . 2014

机译：强大奇异性Sturm-Liouville边值问题正解的存在
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. Multiple Positive Solutions to Nonlinear Boundary Value Problems of a System for Fractional Differential Equations [O] . Chengbo Zhai, Mengru Hao -1

机译：分数阶微分方程组非线性边值问题的多个正解
7. On existence of positive solutions of coupled integral boundary value problems for a nonlinear singular superlinear differential system [O] . Cui Yujun, Sun Jingxian 2012

机译：非线性奇异超线性微分系统耦合积分边值问题正解的存在性

Existence of positive solutions of Sturm-Liouville boundary value problems for a nonlinear singular second order differential system with a parameter

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