| 一类非单调算子方程解的存在性及应用 |
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| 引用本文： | 张传林. 一类非单调算子方程解的存在性及应用[J]. 西安工业大学学报, 2007, 27(5): 504-506 |
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| 作者姓名： | 张传林 |
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| 作者单位： | 日照广播电视大学教学科研处 日照276826 |
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| 摘 要： | 在实Banach空间中,利用锥理论和单调迭代方法,推广了A(x,y) Mx中混合单调条件,用A(x,y) Tx来代替以往的混合单调性.给出了一类非单调算子方程x=A(x,x)解的存在性定理,并对脉冲微分方程初值问题进行了讨论.
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| 关 键 词： | 锥 单调算子 单调迭代 算子方程的解 |
| 文章编号： | 1673-9965（2007）05-504-03 |
| 收稿时间： | 2007-06-08 |
| 修稿时间： | 2007-06-08 |
On Solution Existence and Applications of a Class of Nonmonotone Operator Equation |
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| ZHANG Chuan-lin. On Solution Existence and Applications of a Class of Nonmonotone Operator Equation[J]. Journal of Xi'an Institute of Technology, 2007, 27(5): 504-506 |
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| Authors: | ZHANG Chuan-lin |
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| Abstract: | By using cone theorem and monotone iterative method, the mixed monotone condition in A(x,y) Mx in Banach spaces is extended.The traditional mixed monotonicity is replaced by A(x,y) Tx.Then the existence of solutions for a kind of nonmonotonic operator equation is given and the initial value problems for impulsive differential equations are discussed. |
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| Keywords: | cone monotonic operator monotone iterative solutions of operator equations |
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