| EXISTENCE AND UNIQUENESS FOR SECOND-ORDER VECTOR BOUNDARY VALUE PROBLEM OF NONLINEAR SYSTEMS |
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| 作者姓名： | Du Zengji Lin Xiaojie Ge Weigao |
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| 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. |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10371006） and the Doctoral ProgramFoundation of Education Ministry of China. |
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| 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.
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| 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 |
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| 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. |
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| Authors: | Du Zengji Lin Xiaojie Ge Weigao |
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| Institution: | (1) Dept. of Math., Beijing Institute of Technology, 100081 Beijing, China;(2) Dept. of Math., Xuzhou Normal Univ., 221116 Xuzhou, China |
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| 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. |
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| Keywords: | vector differential equation nonlinear boundary value problem existence and uniqueness upper and lower solutions method |
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