Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities

被引:1
|
作者
Zhang, Lingling [1 ]
Zhai, Chengbo [2 ]
机构
[1] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China
[2] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China
关键词
BOUNDARY-VALUE-PROBLEMS; DEVIATING ARGUMENTS; PULSE VACCINATION; PERIODIC PROBLEMS; EPIDEMIC MODEL; BANACH-SPACES; POPULATION;
D O I
10.1155/2013/259730
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.
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页数:10
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