一类脉冲一阶非线性微分方程积分边值问题的正解  

On Positive Solutions of a Class of Impulsive First-Order Nonlinear Differential Equation Integral Boundary Value Problems

作　　者：吴丽娇[1] Wu Lijiao(Fujian Chuanzheng Communications College,Fuzhou 350000,China)

机构地区：[1]福建船政交通职业学院

出　　处：《黑河学院学报》2019年第12期213-214,220,共3页Journal of Heihe University

摘　　要：脉冲微分方程是微分方程里重要的研究分支,是人类对工程技术、种群动态、最优控制等实际问题的研究所建立的一类优秀的数学模型,对于具有脉冲的非线性微分方程边值问题的研究具有实际应用价值。利用锥不动点定理,结合数学分析方法研究一类脉冲微分方程边值正解的存在性问题,建立该类方程边值问题存在正解的充分条件,所得结果推广并改进了前人的相关结果。The impulsive differential equation,an important branch of differential equations,is viewed as an excellent mathematical model established by human beings on studying some practical problems,such as engineering technology,population dynamics,and optimal control.It has practical application value for studying impulsive nonlinear differential equation boundary value problems.This paper discusses the existence of positive solutions for boundary value problems of a class of impulsive differential equations by using cone fixed point theorem and mathematical analysis methods,and establishes the sufficient conditions for the existence of positive solutions for boundary value problems of such equations.It is hopeful that the promotion of results obtained can improve the previous results.

关 键 词：边值问题 脉冲 一阶非线性微分方程 不动点定理 

分 类 号：O175[理学—数学]