摘要
本文研究初值问題 x′=g(t,x,Tx) x(0)=x_0的正解,其中 Tx=φ_0(t)+integral from n=0 to 1 h(s,t)x(s)ds证明了初值问题的正解、最大解、最小解的存在性,并将所得结果应用于二阶常微分方程,得到正解的存在性。
The paper represents the positive solutions of initial value problem x′=g(t, x, Tx) x(0)=x_0 Where Tx=φ_0(t)+integral from 0 to t(h(s, t)x(s)ds)The existence of positive solution, maximal solution and minimal solution is proved. The results are applied to the second order ordinary differential equations and then the existence of positive solution is obtained.
出处
《西安矿业学院学报》
北大核心
1992年第3期293-298,共6页
Journal of Xi'an University of Science & Technology
关键词
积分
微分方程
初值
正解
partially ordered topological spaces, simply ordered set, maximal solution, minimal solution
