一类时滞微分方程解的存在性
he Existence of Solution of the delay differential equation
本文应用Schauder不动点理论研究了二阶时滞微分方程两点边值问题解的存在性：通过对非线性项中第三变元单调性的适当限制，将上下解方法应用到该微分方程边值问题中来，得到了一定条件下问题解的存在性，用迭代序列收敛到了该问题的近似解。本文所采用的主要技巧和方法是：利用上、下解方法及相应算子的性质得到了时滞微分方程边值问解的存在性。
In this paper, we apply the fixed point thoery for the two-point boundary value problem of the delay differential equation. We made some restriction on the nonlinear term, assuming that it is nondecreasing. then we apply the upper and lower solution for the delay differential equation.Also, we obtain some conditions of the existence of its solutions. At last, we used the sequence consistently converging its solutions. In this paper, the main methods and technique we use is as follows: We made some restriction on the nonlinear term, assuming that it is nondecreasing. Using the method of upper and lower solutions and the property operators, we got the existence of the problem
李瑞瑞
数学
时滞微分方程边值问题不动点上、下解全连续算子
delay differential equationboundary value problemthe fixed pointthe upper and lower solutionscompletely continuous operator
李瑞瑞.一类时滞微分方程解的存在性[EB/OL].(2011-03-08)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/201103-313.点此复制
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