节点文献
Banach空间中非线性微分方程的迭代解
ITERATIVE SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS IN BANACH SPACES
【摘要】 在更广泛的条件下得到了Banach空间上一阶非线性微分方程初值问题和周期边值问题的最大解和最小解的存在性及其迭代求法 ,并推广了许多已知结果 .
【Abstract】 Under wider conditions,the maximal and minimal solutions of the initial value problem and periodic boundary value problem for first order nonlinear differential equations in Banach spaces are investigated,and the iterative algorithm of the solutions is also obtained.
【关键词】 Banach空间;
非线性微分方程;
迭代解;
【Key words】 Banach spaces; nonlinear differential equations; iterative solutions;
【Key words】 Banach spaces; nonlinear differential equations; iterative solutions;
【基金】 国家教委博士点基金资助项目
- 【文献出处】 山东大学学报(自然科学版) ,Journal of Shandong University(Natural Science Edition) , 编辑部邮箱 ,2000年04期
- 【分类号】O175
- 【下载频次】63