摘要
本文研究了一类一阶隐式微分方程周期边值问题的可解性.利用上下解方法和迭合度理论,获得了至少存在一个解的充分条件.
The solvability of a class of first-order implicit differential equation with periodic boundary value problems is studied in this paper. By using upper and lower solutions method and coincidence degree theory, an result about the existence of at least one solution is obtained.
出处
《数学杂志》
CSCD
北大核心
2013年第5期865-870,共6页
Journal of Mathematics
基金
国家自然科学基金资助(11161026
11261027)
关键词
隐式微分方程
周期边值问题
上下解
迭合度
implicit differential equations
periodic boundary value problems
upper and lower solutions
coincidence degree
