带有变系数的二阶脉冲微分方程的正解  

Study on the Positive Solution of Second-order Impulsive Differential Equation with Variable Coefficients

作　　者：李海艳 LI Haiyan(School of General Education,Chengdu Jincheng College,Chengdu,Sichuan 611731,China)

机构地区：[1]成都锦城学院通识教育学院,四川成都611731

出　　处：《平顶山学院学报》2021年第5期1-8,共8页Journal of Pingdingshan University

摘　　要：研究了一类非线性项与一阶导数有关,且带有变系数h(t)的二阶脉冲微分方程的边值问题,通过构造一个特殊的锥,利用锥上的不动点指数理论获得该问题正解的存在性定理.This study explores the boundary value problem of second-order differential equations with variable coefficient h(t),where the nonlinear term f is related to the first derivative.By constructing a special cone and applying the fixed point index theory on the cone,the study obtains the existence theorem of the positive solution of the problem.

关 键 词：正解 边值问题 不动点指数 

分 类 号：O175.14[理学—数学]