Existence and Uniqueness of Global Solution to a Mathematical Model of Retinal Vascular Tumors

Lu Chuang-ye; Wei Xue-mei

doi:10.3969/j.issn.1007-7162.2016.03.013

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

Existence and Uniqueness of Global Solution to a Mathematical Model of Retinal Vascular Tumors

更新时间：2026-05-27

- Existence and Uniqueness of Global Solution to a Mathematical Model of Retinal Vascular Tumors
- Vol. 33, Issue 3, Pages: 70-75(2016)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.1007-7162.2016.03.013
  CLC：
- Online First：19 May 2016，
  
  Published：2016
- 稿件说明：
移动端阅览
卢创业, 卫雪梅. 一个视网膜血管肿瘤数学模型整体解的存在唯一性[J]. 广东工业大学学报, 2016, 33(3): 70-75.

Lu Chuang-ye, Wei Xue-mei. Existence and Uniqueness of Global Solution to a Mathematical Model of Retinal Vascular Tumors[J]. 2016, 33(3): 70-75.
卢创业, 卫雪梅. 一个视网膜血管肿瘤数学模型整体解的存在唯一性[J]. 广东工业大学学报, 2016, 33(3): 70-75. DOI： 10.3969/j.issn.1007-7162.2016.03.013.

Lu Chuang-ye, Wei Xue-mei. Existence and Uniqueness of Global Solution to a Mathematical Model of Retinal Vascular Tumors[J]. 2016, 33(3): 70-75. DOI： 10.3969/j.issn.1007-7162.2016.03.013.

摘要

研究了一个视网膜血管肿瘤的数学模型．该模型是肿瘤生长的固定边界问题，包含了反应扩散方程和常微分方程．文中先对模型进行分类讨论，然后通过运用Banach不动点定理，抛物方程的

估计，证明了模型在特定情况下局部解的存在唯一性.最后利用延拓的方法得到了模型在特定情况下整体解的存在唯一性．

Abstract

In this paper the researchers study a mathematical model of a retinal vascular tumor. The model is a fixed boundary problem of tumor growth

including several reaction diffusion equations and ordinary differential equations. The paper first discusses the classification of the model

then applies

-estimate and Banach Fixed Point Theorem to prove the existence and uniqueness of local solution under special conditions. In the end

the local solution proves to be global in special cases by continuation method.

关键词

Keywords

references

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Qualitative Analysis and Numerical Simulation of Generative Model of Tumor Lymphatic Vessels Under ECM Remodeling

A Qualitative Analysis of a Hyperbolic Tumor Growth Model with Robin Free Boundary

Existence of the Solution to the Metabolic Model of Colon Cancer Cells

Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin

Existence of Solutions for a Class of Fourth-Order BVP

Related Author

Wang Zhen-you

Huang Ya-ting

Zhou Yun

Wei Xue-mei

Liang Xiao-zhen

Chen Mei-gui

Wei Xue-mei

Lu Yu

Related Institution

School of Mathematics and Statistics, Guangdong University of Technology

School of Applied Mathematics, Guangdong University of Technology

AI问答

⁰