共振情形下一类非合作反应堆数学模型正解的存在性  

Existence of Positive Solutions for a Non-cooperative Mathematical Model of Nuclear Reactors at Resonance

作　　者：陈瑞鹏 刘佳音 张光晨 CHEN Ruipeng;LIU Jiayin;ZHANG Guangchen(College of Mathematics and Information Science,North Minzu University,Yinchuan 750021,China)

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021

出　　处：《应用数学》2021年第3期639-646,共8页Mathematica Applicata

基　　金：国家自然科学基金(11761004);宁夏自然科学基金(2020AAC03232);宁夏高等教育一流学科建设基金(NXYLXK2017B09);北方民族大学校级科研项目(2021XYZSX01)。

摘　　要：研究一类源自核反应堆的二阶非合作微分系统正解的存在性,其中非线性项为变号函数.运用分歧理论为该系统建立了数个正解的存在性结果,并得到保证正解存在的最优充分条件.所得结果丰富并补充了已有文献的相关结论.This article concerns the existence of positive solutions for a class of second-order noncooperative differential systems,which arises in nuclear engineering,where the nonlinear terms are signchanging.Several existence results on positive solutions are established by employing bifurcation theory,and some optimal sufficient conditions to guarantee the existence of positive solutions are also obtained.Our main findings enrich and complement those in the existing literature.

关 键 词：非合作系统 正解 存在性 分歧理论 

分 类 号：O175.8[理学—数学]