一阶微分方程终值问题拟解的存在性  

The Existence of Quasi-Solutions to Terminal Value Problem of One-Order Differential Equation

作　　者：刘孝磊[1] 盖明久[1] 张强[1] 

机构地区：[1]海军航空工程学院基础部,山东烟台264001

出　　处：《海军航空工程学院学报》2013年第4期455-457,共3页Journal of Naval Aeronautical and Astronautical University

摘　　要：利用拟上下解方法,研究了一阶微分方程终值问题u′(t)=f()t,u(t),u(T)=xT拟解的存在性,并通过构造单调迭代序列得到该终值问题的最大最小拟解。By using the method of quasi-upper and lower solutions, the existence of quasi-solutions to terminal value problem of one-order differential equation u＇（t）=f（t,u（t））,u（T）=xr was studied. The maximum-minimum quasi-solution-pair was obtained by constructing two monotone iteration sequences.

关 键 词：终值问题 拟上下解 单调迭代 

分 类 号：O175.15[理学—数学]