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半线性椭圆最优控制问题的最优性
  • ISSN号：1000-5900
  • 期刊名称：《湘潭大学自然科学学报》
  • 时间：0
  • 分类：O175.8[理学—数学;理学—基础数学]
  • 作者机构：[1]重庆三峡学院数学与统计学院,重庆万州404100, [2]重庆三峡学院电子与信息工程学院,重庆万州404100
  • 相关基金：国家自然科学基金（10971074）; 湖南省自然科学基金（06A069）阶段性研究成果
作者： 鲁祖亮[1], 黄晓[2]
关键词： 最优控制问题, 半线性椭圆方程, 最优性条件, optimal control problems, semilinear elliptic equations, optimality
中文摘要：

文章讨论了半线性椭圆最优控制问题的二阶最优性条件.假设约束集满足一些特殊性质,得到了半线性椭圆最优控制问题的二次增长条件、二阶充分最优性条件和二阶必要的最优性条件.最后证明了这三个条件是等价的.

英文摘要：

In this article,we discuss the second-order optimality conditions for optimal control problems of semilinear elliptic equations.By assuming some specific properties of constraints,we present the quadratic growth condition,the necessary and sufficient second-order optimality conditions for semilinear optimal control problems.Finally,we prove that the three conditions are equivalent.

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期刊信息
  • 《湘潭大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:湖南省教育厅
  • 主办单位:湘潭大学
  • 主编：黄云清
  • 地址：湖南湘潭市
  • 邮编：411105
  • 邮箱：jxtus@xtu.edu.cn
  • 电话：0731-58292143
  • 国际标准刊号：ISSN：1000-5900
  • 国内统一刊号：ISSN：43-1066/N
  • 邮发代号:42-33
  • 获奖情况:
  • 全国优秀科技期刊,湖南省一级期刊
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4425