Existence and continuity of positive solutions on a parameter for second-order impulsive differential equations

被引：10

作者：

Tian, Yafang ^{[1
]}

Zhang, XueMei ^{[1
]}

机构：

[1] North China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2016年

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

continuity on a parameter; impulsive differential equations; transformation technique; L-p-integrable; eigenvalue; BOUNDARY-VALUE-PROBLEMS; PERIODIC-SOLUTIONS; DELAYED ARGUMENT; GREENS-FUNCTION; P-LAPLACIAN; MULTIPLICITY;

D O I：

10.1186/s13661-016-0672-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying the eigenvalue theory and theory of alpha-concave operator, we establish some new sufficient conditions to guarantee the existence and continuity of positive solutions on a parameter for a second-order impulsive differential equation. Furthermore, two nonexistence results of positive solutions are also given. In particular, we prove that the unique solution of the problem is strongly increasing and depends continuously on the parameter lambda.

引用

页数：22

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