一类三阶微分方程特殊正解的存在性  

Existence of special positive solutions for a family of third order differential equations

作　　者：赵玉萍[1] 傅华 ZHAO Yu-ping;FU Hua(College of Mathematics and Statistics,Qinghai Nationalities University,Xining 810007,China;Department of Computer and Information Security Management,Fujian Jingcha College,Fuzhou 350007,China)

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007 [2]福建警察学院计算机与信息安全管理系,福建福州350007

出　　处：《东北师大学报（自然科学版）》2022年第2期16-21,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(12161071);青海民族大学校级项目(2021XJGH09)。

摘　　要：利用Schauder-Tychonoff不动点定理和分析技巧,研究了一类三阶非线性微分方程正解中最大解和最小解存在的充分和必要条件,并讨论了方程解的渐近性.By using Schauder-Tychonoff fixed point theorem and analysis technique, the sufficient and necessary conditions for the existence of maximum and minimum solutions in positive solutions of a family of third order nonlinear differential equations are studied, and the asymptotic behavior of solutions is discussed.

关 键 词：渐进性 正解 Schauder-Tychonoff不动点定理 

分 类 号：O175.7[理学—数学]