无界域上一类非线性积分微分方程解的存在性  

SOLUTIONS FOR A CLASS OF NONLINEAR INTEGRO-DIFFERENTIAL EQUATION ON UNBOUNDED DOMAINS

作　　者：田瑞兰[1] 陈芳启[2] 

机构地区：[1]天津大学力学系,天津300072 [2]南京航空航天大学数学系,南京210016

出　　处：《系统科学与数学》2008年第1期76-82,共7页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10572057)资助课题．

摘　　要：在比较宽松的条件下,研究了无界域上一类非线性积分微分方程解的存在性.通过引进等价的范数,利用递归法、Tonelii近似序列和局部凸拓扑,建立了新的存在性定理,改进了定义在有界域上的非线性湿气迁移方程的相应结果.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.

关 键 词：湿气迁移方程 Tonelii近似序列 局部凸拓扑 非紧性测度 等价范数 

分 类 号：O175.6[理学—数学]