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非线性奇异Hamilton系统边值问题解的存在性与唯一性
引用本文:李良,綦建刚.非线性奇异Hamilton系统边值问题解的存在性与唯一性[J].宁波大学学报(理工版),2008,21(1):89-93.
作者姓名:李良  綦建刚
作者单位:宁波大学理学院,浙江,宁波,315211
基金项目:浙江省自然科学基金 , 浙江省宁波市青年科学基金 , 宁波大学校科研和教改项目
摘    要:考虑了定义在0,+∞)上的非线性奇异Hamilton系统在极限圆型条件的假设下,其解的存在性和唯一性,并进而考虑其在整个区间(-∞,∞)下的情况.

关 键 词:HAMILTON系统  不动点原理  Green矩阵函数  极限圆型

Existence and Uniqueness of Solution to Nonlinear Singular Hamiltonian Systems Boundary Value Problem
LI Liang,QI Jian-gang.Existence and Uniqueness of Solution to Nonlinear Singular Hamiltonian Systems Boundary Value Problem[J].Journal of Ningbo University(Natural Science and Engineering Edition),2008,21(1):89-93.
Authors:LI Liang  QI Jian-gang
Institution:( Faculty of Science, Ningbo University, Ningbo 315211, China )
Abstract:With assumption of the light-hand side being a linear system expression and belonging to the Weyl limit-circle case., we consider nonlinear singular Hamiltonian systems to be on the semi-axis (0,∞) and on the whole axis (-∞,∞), respectively, The existence and uniqueness of the solutions to the Hamiltonian systems problem are described and verified.
Keywords:Hamiltonian system  fixed point theorems  Green's function  limit-circle case
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