一类非线性不连续集值发展型方程的广义单调迭代法

On the General Monotone Iterative Method for a Class of Nonlinear Discontinuous Set-valued Evolution Equations

中文关键词:  非线性不连续问题  发展型方程  广义单调迭代法

英文关键词:nonlinear discontinuous problem  evolution equation  general monotone iterative method

中文摘要:

      本文利用广义单调迭代法研究了一类非线性不连续集值发展型方程的数值解法,利用序理论给出其迭代格式,得到了迭代解的收敛性结果.在一种较弱的条件下,给出了离散解集收敛性的若干结论.

英文摘要:

      Using the general monotone iterative method and ordering theory, a class of nonlinear discontinuous set-valued evolution equations is discussed in this paper, some results on the convergence of the iterative solution is obtained. Moreover, we also get some results about the convergence of the solution set under a very general condition.