POSITIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN

Li Hongyu; Sun Jingxian; Cui Yujun

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POSITIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN

机译：测度链上非线性微分方程的正解

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摘要

By applying the theory of fixed point index and the cone theory, the existence of positive solutions for the nonlinear differential equation on a measure chain Lx(t) = - [r (t)x~Δ(t)]~Δ= f (t, x(σ (t))) is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear operator.

机译：通过应用定点索引理论和锥理论，测度链上的非线性微分方程Lx（t）=-[r（t）x〜Δ（t）]〜Δ= f（在与相关线性算子相对应的第一特征值有关的某些条件下考虑t，x（σ（t）））。

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《Chinese journal of contemporary mathematics》 |2009年第1期|共10页
作者
Li Hongyu; Sun Jingxian; Cui Yujun;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Nonlinear differential equation on a measure chain; Positive solution; Fixed point index; Cone;

机译：测度链上的非线性微分方程;正解;不动点指数;锥;

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专利

1. POSITIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN [J] . Li Hongyu, Sun Jingxian, Cui Yujun Chinese journal of contemporary mathematics . 2009,第1期

机译：测度链上非线性微分方程的正解
2. Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure [J] . Jianwu Wu, Xinguang Zhang, Lishan Liu, Advances in Difference Equations . 2012,第1期

机译：带变号测度的高阶非线性分数阶微分方程的正解
3. Existence, multiplicity, and nonexistence of positive solutions to a differential equation on a measure chain [J] . Lynn Erbe, Allan Peterson, Ronald Mathsen Journal of Computational and Applied Mathematics . 2000,第1a2期

机译：度量链上微分方程正解的存在性，多重性和不存在
4. Existence of Positive Solutions of Nonlinear Fractional Quadratic Differential Equations [C] . K. Hilal, Y. Allaoui, K. Guida International conference on intuitionistic fuzzy sets and its applications . 2019

机译：非线性分数二次微分方程正解的存在性
5. Positive solutions of higher order boundary value problems of nonlinear fractional differential equations. [D] . McCabe, Michael. 2014

机译：非线性分数阶微分方程的高阶边值问题的正解。
6. Multiple positive solutions to a coupled systems of nonlinear fractional differential equations [O] . Kamal Shah, Rahmat Ali Khan -1

机译：非线性分数阶微分方程耦合系统的多个正解
7. POSITIVE SOLUTIONS IN AN ANNULUS FOR NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN [O] . CHUAN-JEN CHYAN, JOHNNY HENDERSON, HUI-CHUN LO 1999

机译：措施链上非线性微分方程的环空中的正解

POSITIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS ON A MEASURE CHAIN

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