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EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR BOUNDARY VALUE PROBLEM OF NONLINEAR SYSTEMS
作者姓名:Du  Zengji  Lin  Xiaojie  Ge  Weigao
作者单位:[1]Dept. of Math. , Beijing Institute of Technology,Beijing 100081 ,China. [2]Dept. of Math., Xuzhou Normal Univ., Xuzhou 221116, China.
基金项目:Supported by the National Natural Science Foundation of China (10371006) and the Doctoral ProgramFoundation of Education Ministry of China.
摘    要:This paper is concerned with the following second-order vector boundary value problem :x^R=f(t,Sx,x,x'),0〈t〈1,x(0)=A,g(x(1),x'(1))=B,where x,f,g,A and B are n-vectors. Under appropriate assumptions,existence and uniqueness of solutions are obtained by using upper and lower solutions method.

关 键 词:无线电向量  边界值  非线性系统  存在性  唯一性
收稿时间:2003-04-03

Existence and uniqueness for second-order vector boundary value problem of nonlinear systems
Du Zengji Lin Xiaojie Ge Weigao.EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR BOUNDARY VALUE PROBLEM OF NONLINEAR SYSTEMS[J].Applied Mathematics A Journal of Chinese Universities,2005,20(3):323-330.
Authors:Du Zengji  Lin Xiaojie  Ge Weigao
Institution:(1) Dept. of Math., Beijing Institute of Technology, 100081 Beijing, China;(2) Dept. of Math., Xuzhou Normal Univ., 221116 Xuzhou, China
Abstract:This paper is concerned with the following second-order vector boundary value problem: x″ =f(t,Sx,x,x′), 0<t<1, x(0)=A, g(x(1), x′(1))=B, where x, f, g, A and B are n-vectors. Under appropriate assumptions, existence and uniqueness of solutions are obtained by using upper and lower solutions method. Supported by the National Natural Science Foundation of China (10371006) and the Doctoral Program Foundation of Education Ministry of China.
Keywords:vector differential equation  nonlinear boundary value problem  existence and uniqueness  upper and lower solutions method  
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