含双参数的非线性二阶脉冲微分系统的正解  

Positive Solutions for Nonlinear Second Order Impulsive Differential Systems with Two Parameters

作　　者：蔡静静[1] 

机构地区：[1]同济大学数学系,上海200092

出　　处：《同济大学学报（自然科学版）》2011年第6期919-923,共5页Journal of Tongji University:Natural Science

基　　金：上海市教委科研创新项目(09ZZ33)

摘　　要：研究一类带有双参数的非线性二阶m点脉冲微分系统正解的存在性并讨论正解不存在的情况,其中非线性项可有不同性质,系数a1(t)和a2(t)均Lp可积.通过构造一个特殊的锥,结合不动点指数理论,得到了参数λ和μ在不同条件下正解存在性定理,并在λ很小时得到了正解不存在性定理.The paper presents a study of the existence of positive solutions for a class of nonlinear second order impulsive differential systems with two parameters and the nonexistence of positive solutions,where the nonlinear terms have different properties and their coefficients a1（t）,a2（t） are LP-integrable.By applying the theory of the fixed point index and constructing a special cone,the existence theorem of positive solutions is proved when parameters λ and μ have different conditions,and the nonexistence theorem of positive solutions is proved while λ is sufficiently small.

关 键 词：正解 边值问题 不动点指数 锥 

分 类 号：O175.8[理学—数学]