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非单调算子方程组解的存在唯一性及其应用
  • ISSN号：1672-1454
  • 期刊名称：《大学数学》
  • 时间：0
  • 分类：O177.91[理学—数学;理学—基础数学]
  • 作者机构：[1]齐鲁师范学院数学系,山东济南250013, [2]徐州师范大学科文学院,江苏徐州221116
  • 相关基金：国家自然科学基金（10671167）;山东省高等学校科技计划研究项目（J09LA55）;齐鲁师范学院青年教师科研基金项目（2011L1508）
作者： 刘春晗[1], 王建国[1], 王鑫[2]
关键词： 算子方程组, 非单调算子, 不动点, 迭代序列, systems of operator equations, non-monotone operator, fixed point, iterative order
中文摘要：

在Banach空间中不具有连续性和紧性的条件下讨论了一类非单调算子方程组解的存在唯一性及迭代收敛性，并且应用到Hammerstein型积分方程中．

英文摘要：

We discuss the existence and uniqueness of solutions of a class of systerms of non-monotone operator equations without any compactness or continuity conditions in Banaeh space. Finally, some applications to Hammerstein integral equation are also given.

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期刊信息
  • 《大学数学》
  • 主管单位:国家教育部
  • 主办单位:教育部数学与统计学教学指导委员会 高等教育出版社 合肥工业大学
  • 主编：徐宗本
  • 地址：合肥市屯溪路193号合肥工业大学屯溪校区320信箱
  • 邮编：230009
  • 邮箱：hfdxsx@163.com
  • 电话：0551-62901476
  • 国际标准刊号：ISSN：1672-1454
  • 国内统一刊号：ISSN：34-1221/O1
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 被引量:7540