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P算子与非线性微分积分方程的周期边值问题
P-operator and periodic boundary values of non-linear differential-integral equation
【摘要】 利用部分逆算子理论就一阶非线性微分积分方程的周期边值问题(PBVP)x′=f(t,x,Tx),x(0)=x(2π),讨论了解的存在性,并利用上、下解方法给出其求近似解的迭代程序。
【Abstract】 The existence of the solution was given by using partial inverse openator theory with regard to the periodic boundary value problems(PBVP) of the firstorder differentialintegral equation: x′=f(t,x,Tx), x(0)=x(2π),and given an iterative program for finding approximate solution by means of the upper and lower solutions.
【关键词】 P算子;
Dini导数;
上、下解;
Lery-Schauder原理;
【Key words】 P-operator; Dini-differential; upper and lower solution; theory of Lery-Schauder;
【Key words】 P-operator; Dini-differential; upper and lower solution; theory of Lery-Schauder;
- 【文献出处】 宝鸡文理学院学报(自然科学版) ,Journal of Baoji College of Arts and Science(Natural Science Edition) , 编辑部邮箱 ,2003年02期
- 【分类号】O175.8
- 【下载频次】20