半线性热传导方程的解关于边值的连续依赖性

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 140-143.

半线性热传导方程的解关于边值的连续依赖性

College of Information and Management Science Henan Agricultural University,College of Information and Management Science,Henan Agricultural University,,Zhengzhou 450002,China,Zhengzhou 450002,China

收稿日期:2007-06-10 出版日期:2008-03-30 发布日期:2023-10-17
作者简介:CAO Dian-li(1963-), male, native of Xinxiang,Henan, an associate Profession of Henan Agri- cultural, engages in partial diferential equations.
基金资助:
Supported by the NNSF of Henan Province(07230041080)

Continuously Dependent on Boundary Value for Solution of Semi-liner Heat-conduction Equation

College of Information and Management Science Henan Agricultural University,College of Information and Management Science,Henan Agricultural University,,Zhengzhou 450002,China,Zhengzhou 450002,China

Received:2007-06-10 Online:2008-03-30 Published:2023-10-17
About author:CAO Dian-li(1963-), male, native of Xinxiang,Henan, an associate Profession of Henan Agri- cultural, engages in partial diferential equations.
Supported by:
Supported by the NNSF of Henan Province(07230041080)

摘要/Abstract

摘要： Reference [1] deals with the uniqueness of solution to problem (A) and solution of problem (A) is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of problem (A) is continuously dependent on boundary value on the basis of references [2] and [3].

关键词: semi-liner , heat-conduction , equation; , boundary , value , problem; , continuously dependent

Abstract: Reference [1] deals with the uniqueness of solution to problem (A) and solution of problem (A) is continuously dependent on free term and initial value under certain conditions. This paper discuss the solution of problem (A) is continuously dependent on boundary value on the basis of references [2] and [3].

Key words: semi-liner , heat-conduction , equation; , boundary , value , problem; , continuously dependent

中图分类号:

O175.2

曹殿立, 王建平. 半线性热传导方程的解关于边值的连续依赖性[J]. 数学季刊, 2008, 23(1): 140-143.

CAO Dian-li, WANG Jian-ping. Continuously Dependent on Boundary Value for Solution of Semi-liner Heat-conduction Equation [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 140-143.

[1]	韩倩倩, 翟成波. 一阶泛函微分方程正周期解的存在唯一性[J]. 数学季刊, 2013, 28(3): 454-461.
[2]	张颖, 李吉娜, 张江红, 宋晓倩. (2+1)维破裂孤子方程及Kadomtsev-Petviashvili方程的Stable-range解法[J]. 数学季刊, 2012, 27(2): 183-190.
[3]	刘兴元. 具ρ-aplacian算子非齐次辊舍型二阶微分方程多点边值问题[J]. 数学季刊, 2011, 26(3): 372-377.
[4]	胡丽平, 周世国. 带有临界Sobolev指数的奇异双调和问题[J]. 数学季刊, 2007, 22(3): 395-401.
[5]	窦盼英, 吴昌群. 关于 f′fⁿ值分布一定理的再推广[J]. 数学季刊, 2007, 22(1): 155-158.
[6]	慕小武, 刘海军. 有限时区非线性系统的最优切换控制[J]. 数学季刊, 2006, 21(2): 185-195.
[7]	陈雪东. 具有边界摄动的拟线性Robin问题[J]. 数学季刊, 2006, 21(1): 90-95.
[8]	倪小虹, 葛渭高. 二阶微分方程半无穷区间边值问题的正解[J]. 数学季刊, 2005, 20(4): 380-384.
[9]	曹殿立, 梁保松, 叶耀军. 一类高维半线性热传导方程的唯一性与稳定性[J]. 数学季刊, 2004, 19(4): 416-421.
[10]	任立顺, 张彩玉. 广义泰勒余项“中值点”的渐进性[J]. 数学季刊, 2004, 19(3): 314-318.
[11]	李和成. 奇异二阶边值问题正解的存在性[J]. 数学季刊, 2004, 19(1): 101-106.