时滞脉冲微分方程三点边值问题解的存在性和唯一性  

Existence and Uniqueness of Solutions for the three-Point Boundary Value Problem of Differential Equation with Time Lag and Impulse

作　　者：刘锡平[1] 贾梅[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《数学的实践与认识》2011年第7期190-196,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071164);上海市教育委员会科研创新项目(10ZZ93)

摘　　要：研究一类时滞与脉冲共存的微分方程三点边值问题,利用上下解与单调迭代方法获得了边值问题解的存在性定理和唯一性定理,给出求解该类问题解析近似解的迭代方法,得出了新的结论.This paper studies the three-point boundary value problem of differential equation with time lag and impulse, obtains sufficient conditions of the existence and uniqueness by using the upper and lower solutions method and monotone iterative method, gives the monotone iterative sequence which solve analytic approximate solutions of the problem, gets the new conclusion.

关 键 词：脉冲 时滞 边值问题 单调迭代方法 上下解 

分 类 号：O175.8[理学—数学]