时标上带有积分边界条件的脉冲边值问题的正解  

Positive Solutions of Impulsive Boundary Value Problems with Integral Boundary Conditions on Time Scales

作　　者：武利猛[1] 李素红[1] 刘海怡 曹芮凡 李梦婷 WU Limeng;LI Suhong;LIU Haiyi;CAO Ruifan;LI Mengting(School of Mathematics and Information Technology,Hebei Normal University of Science&Technology,Qinhuangdao Hebei,066004,China)

机构地区：[1]河北科技师范学院数学与信息科技学院,河北秦皇岛066004

出　　处：《河北科技师范学院学报》2022年第4期53-62,共10页Journal of Hebei Normal University of Science & Technology

基　　金：河北省大学生创新创业训练计划项目(项目编号:S202210798038,X2022073);河北省高校基本科研业务费专项项目(项目编号:2021JK02);国家自然科学基金资助项目(项目编号:11901152)。

摘　　要：研究了时标上带有积分边界的二阶脉冲边值问题解的存在性,利用Leray-Schauder不动点定理、Leray-Schauder抉择定理和广义Leggett-Williams不动点定理,得到了至少存在1个和3个正解的判别条件,并通过举例证明了结果的可行性。The existence of solutions for second order impulsive boundary value problem with integral boundary conditions on time scales is studied with the Leray-Schauder fixed point theorem,Leray-Schauder alternative theorem and generalized Leggett-Williams fixed point theorem,and the existence of at least one or three positive solution is determined.Finally,an example is given to verify the feasibility of the result.

关 键 词：时标 不动点定理 脉冲动力方程 解的存在性 

分 类 号：O175.8[理学—数学]