摘要
利用锥与半序理论和单调迭代技巧,讨论一类非线性二元算子方程解的存在唯一性,并给出迭代序列收敛误差估计,改进和推广了某些已有结果.最后给出所得结果的应用.
Using the cone and partial ordering theory and monotone iterative, the existence and uniqueness of solution for some nonlinear binary operators equations are discussed. And the error estimates for iterative sequence are also given. Some known results are improved and generalized. Finally, the applications of our results are given.
出处
《河南科学》
2004年第6期730-733,共4页
Henan Science
基金
河南省教委重点科研基金项目(2000110019)
商丘市科技攻关项目(200211125)
关键词
非线性算子
算子方程
锥
半序
迭代解法
nonlinear operator
operator equations
cone and partial ordering
iterative solution
