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一类偏微分发展方程的缓慢振荡解(英文)
引用本文:郭雅丽,张传义.一类偏微分发展方程的缓慢振荡解(英文)[J].黑龙江大学自然科学学报,2009,26(1).
作者姓名:郭雅丽  张传义
作者单位:哈尔滨工业大学数学系,哈尔滨,150001
摘    要:讨论了一类偏微分发展方程的缓慢振荡解(mild解)存在唯一的一个充分条件,并且把相应结果应用于讨论一类偏微分方程缓慢荡解(mild解)存在唯一的条件.

关 键 词:缓慢振荡函数  指数稳定半群  偏微分方程

Slowly oscillating solutions to some classes of partial evolution equations
GUO Ya-li,ZHANG Chuang-yi.Slowly oscillating solutions to some classes of partial evolution equations[J].Journal of Natural Science of Heilongjiang University,2009,26(1).
Authors:GUO Ya-li  ZHANG Chuang-yi
Institution:Department of Mathematics;Harbin Institute of Technology;Harbin 150001;China
Abstract:Some sufficient conditions for the existence and uniqueness of slowly oscillating(mild) solutions to some classes of partial evolution equations are discussed.Thereby,the existence and uniqueness of slowly oscillating solutions to some partial differential equations are given.
Keywords:slowly oscillating function  exponentially stable semigroup  partial differential equations
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