| 非线性非单调二元算子方程组的解及其应用 |
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| 引用本文： | 康平,刘立山,王颖.非线性非单调二元算子方程组的解及其应用[J].数学研究,2006,39(3):261-265. |
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| 作者姓名： | 康平 刘立山 王颖 |
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| 作者单位： | 曲阜师范大学数学科学学院,山东,曲阜,273165 |
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| 基金项目： | 国家自然科学基金资助项目(10471075)，高等学校博士点专项基金(20050446001)，山东省自然科学基金资助项目(Y2003A01) |
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| 摘 要： | 利用非线性泛函分析中的锥理论和单调迭代的方法,研究了一类非线性非单调二元算子方程组的解的存在性,并给出了收敛于解的迭代序列,然后作为应用,得到了B anach空间中的一类非线性V olterra型积分方程组的解,改进了最近的许多结果.
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| 关 键 词： | 锥 Banach空间 二元算子 算子方程组 |
| 收稿时间： | 2005-05-18 |
| 修稿时间： | 2005年5月18日 |
Solutions of Systems of Nonlinear Non-monotone Two Binary Operator Equations and Applications |
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| Kang Ping,Liu Lishan,Wang Ying.Solutions of Systems of Nonlinear Non-monotone Two Binary Operator Equations and Applications[J].Journal of Mathematical Study,2006,39(3):261-265. |
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| Authors: | Kang Ping Liu Lishan Wang Ying |
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| Abstract: | In this paper,by using the cone theory and monotone iterative technique in nonlinear functional analysis,the existence of solutions for a class of systems of nonlinear non-mototone two binary operator equations is discussed.And the iterative sequences which converge to solutions are given.And then,as an application,the solutions for a class of systems of nonlinear integral equations of Volterra type in Banach spaces are obtained.The results presented here improve many recent results. |
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| Keywords: | cone Banach spaces two binary operators systems of operator equations |
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