一类Volterra型积分微分方程不可数个有界正解的存在性  

Existence for uncountable bounded positive solutions of Volterra integral-differential equations

作　　者：罗志敏 钟满田 LUO Zhi-min;ZHONG Man-tian(College of Humanities and Education,Jiangmen Polytechnic,Jiangmen 529000,China)

机构地区：[1]江门职业技术学院人文教育学院,广东江门529000

出　　处：《广州大学学报（自然科学版）》2023年第6期82-85,共4页Journal of Guangzhou University:Natural Science Edition

基　　金：广东省江门市基础与理论科学研究类资助项目(ZJ2022021N)。

摘　　要：文章讨论了一类Volterra型积分微分方程解的存在性,运用Banach空间中不动点方法,得到两个定理给出方程存在不可数个有界正解的充分条件,拓展了一些已有结果。最后举例说明结论的可行性。The paper deals with the existence of solutions for a class of Volterra integral-differential e-quations.By using the fixed point method in Banach space,two theorems were obtained to give suffi-cient conditions for the existence of uncountable bounded positive solutions of the equation.The con-clusions generalize these results.Finally,an example is given to illustrate the application of the theo-rems.

关 键 词：积分微分方程 不动点 BANACH空间 不可数 

分 类 号：O175[理学—数学]