一阶隐式微分方程周期边值问题的上下解与迭合度  

THE UPPER AND LOWER SOLUTIONS OF FIRST ORDER IMPLICIT DIFFERENTIAL EQUATION WITH PERIODIC BOUNDARY VALUE PROBLEMS AND COINCIDENCE DEGREE

作　　者：王丽[1] 刘永莉[1] 霍锦霞[1] 

机构地区：[1]兰州城市学院数学学院,甘肃兰州730070

出　　处：《数学杂志》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)

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.

关 键 词：隐式微分方程 周期边值问题 上下解 迭合度 

分 类 号：O175.8[理学—数学]