POSITIVE SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH SINGULAR NONLINEAR TERM

Giuseppe Maria Coclite; Mario Michele Coclite

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POSITIVE SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH SINGULAR NONLINEAR TERM

机译：具有奇异非线性项的积分-微分方程的正解

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摘要

The existence of a positive solution in a weighted Sobolev space for a homogeneous semilinear elliptic integro-differential Dirichlet problem is proved. The integral operator of the equation depends on a nonlinear function with a singularity at the origin.

机译：证明了齐次半线性椭圆积分微分Dirichlet问题在加权Sobolev空间中存在一个正解。该方程的积分算子取决于在原点处具有奇异性的非线性函数。

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《Differential and integral equations》 |2005年第9期|共26页
作者
Giuseppe Maria Coclite; Mario Michele Coclite;
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正文语种 eng
中图分类微分方程、积分方程;
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专利

1. POSITIVE SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH SINGULAR NONLINEAR TERM [J] . Giuseppe Maria Coclite, Mario Michele Coclite Differential and integral equations . 2005,第9期

机译：具有奇异非线性项的积分-微分方程的正解
2. A unique positive solution for second-order nonlinear impulsive singular integro-differential equations in Banach spaces [J] . Haiyan Zhang, Yaohong Li International journal of mathematical analysis . 2011,第41a44期

机译：Banach空间中二阶非线性脉冲奇异积分-微分方程的唯一正解
3. Positive solutions for nth-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banach spaces [J] . Haijun Zhang, Lishan Liu, Yonghong Wu Nonlinear Analysis: An International Multidisciplinary Journal . 2009,第2期

机译：Banach空间中无穷区间上n阶非线性脉冲奇异积分-微分方程的正解
4. Positive Solutions of Singular Integro-differential Equations at Resonance in Banach Spaces [C] . Jianxin Cao, Haibo Chen Machine vision, image processing, and pattern analysis . 2011

机译：Banach空间中共振奇异积分-微分方程的正解
5. Linear and nonlinear parabolic partial differential equations with singular lower order term. [D] . Kombe, Ismail. 2003

机译：具有奇异低阶项的线性和非线性抛物线偏微分方程。
6. A Collocation Method for Numerical Solution of Nonlinear Delay Integro-Differential Equations for Wireless Sensor Network and Internet of Things [O] . Rohul Amin, Shah Nazir, Iván García-Magariño 2020

机译：无线传感器网络与物联网非线性时滞积分微分方程数值解的配置方法
7. Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces [O] . Yan Sun 2012

机译：Banach空间中奇异非线性二阶脉冲积分微分方程Sturm-Liouville边值问题的正解
8. Note on Solutions to a Class of Nonlinear Singular Integro-Differential Equations [R] . Ablowitz, M. J., Fokas, A. S., Kruskal, M. D. 1986

机译：关于一类非线性奇异积分微分方程解的注记

POSITIVE SOLUTIONS FOR AN INTEGRO-DIFFERENTIAL EQUATION WITH SINGULAR NONLINEAR TERM

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