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.
出处
《系统科学与数学》
CSCD
北大核心
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．
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
Equation of the migration of the moisture in soil
Tonelii sequence
locally convex topology
measure of noncompactness
equivalent norm
