一类三阶边值问题解的存在唯一性  

Existence and Uniqueness of Solutionsfor a Class of Third-order Boundary Value Problems

作　　者：王丽媛 WANG Li-yuan(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,甘肃兰州730070

出　　处：《兰州文理学院学报（自然科学版）》2023年第4期7-12,共6页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金资助项目(11801243)。

摘　　要：通过对Green函数性质的分析,在非线性项满足一定的增长条件下,应用Banach不动点定理,获得了一类带有非线性边界条件的三阶边值问题解的存在唯一性结果,并通过3个例子验证了所获结果的有效性.By analyzing the properties of the Green function,the existence and uniqueness results of solutions for a class of third-order boundary value problems with nonlinear boundary conditions are obtained by using Banach fixed point theorem under certain growing conditions of the nonlinear terms.Three examples are given to verify the validity of the results.

关 键 词：非线性边界条件 BANACH不动点定理 三阶微分方程 

分 类 号：O175.8[理学—数学]