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Banach空间上一类算子微分系统解的存在性与唯一性
  • 期刊名称：陕西师范大学学报(自然科学版)
  • 时间：2013.4.4
  • 页码：5-8
  • 分类：O177.2[理学—数学;理学—基础数学] O175.6[理学—数学;理学—基础数学]
  • 作者机构：[1]陕西师范大学数学与信息科学学院,陕西西安710062
  • 相关基金：国家自然科学基金资助项目（11001160）; 中央高校基本科研业务费专项资金项目（GK201002046）
  • 相关项目：非均匀恒化器模型共存态的唯一性、多解性与Hopf分歧
作者： 贾云锋|薛盼|
关键词： 算子微分系统, 解, 存在性, 唯一性, LIPSCHITZ条件, operator-differential system, solution, existence, uniqueness, Lipschitz condition
中文摘要：

运用强连续余弦算子族理论、压缩映像原理以及Gronwall-Bellman型积分不等式,研究了建立在Banach空间上一类二阶半线性非齐次算子微分系统解的存在性等性质.研究结果表明：在一定条件下系统存在唯一解并且解对初值具有连续依赖性;同时还证明了解的有界性,并对解进行了估计.

英文摘要：

By using the theory of the strongly continuous cosine family, the principle of properties of solutions of a second order semi-linear and nonhomogeneous operator-differential system in a Banach space are investigated. It is proved that the system has a unique solution and it continuously depends on the initial values under certain conditions; furthermore, the boundedness and the prior estimation on the solution are also presented.

同期刊论文项目
非均匀恒化器模型共存态的唯一性、多解性与Hopf分歧
期刊论文 29 著作 1
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