%0 Journal Article
%T Solutions for a Class of Nonlinear Integro-Differential Equation on Unbounded Domains<br>无界域上一类非线性积分微分方程解的存在性
%A TIAN Ruilan
%A CHEN Fangqi
%A <br>田瑞兰
%J 系统科学与数学
%D 2008
%I 
%X Under weaker conditions, the existence of solutions for a class of nonlinear integro-differential equation on the half line $R^{+}$ is investigated. By introducing the equivalent norm, by use of the recurrence method, Tonelii sequence and the locally convex topology, the new existence theorems are given under a weaker condition and the results generalize and improve the related ones for a class of nonlinear equations of the migration of the moisture in soil on bounded domains.
%K Equation of the migration of the moisture in soil
%K Tonelii sequence
%K locally convex topology
%K measure of noncompactness
%K equivalent norm<br>湿气迁移方程
%K Tonelii近似序列
%K 局部凸拓扑
%K 非紧性测度
%K 等价范数.
%K 无界域
%K 非线性
%K 积分
%K 微分方程解
%K 存在性定理
%K UNBOUNDED
%K DOMAINS
%K EQUATION
%K NONLINEAR
%K CLASS
%K 结果
%K 迁移方程
%K 湿气
%K 有界域
%K 改进
%K 凸拓扑
%K 局部
%K 序列
%K 近似
%K 递归法
%K 利用
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=066A3502BA3E9626DF674E9B47FD8565&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=1A06585DAD15C0D4&eid=61477358EA613BC6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=6