摘要
研究一类带扰动的滑动固定梁方程非线性边值问题。用混合单调算子新的不动点定理,得到所研究方程正解的存在唯一性,改进和推广了前人的工作。举例应用了所得的主要结果。
This work is concerned with the nonlinear boundary value problem of a class of beam equations with perturbed. Its existence and uniqueness of positive solutions were obtained by using a new fixed point theorem for mixed monotone operators. The result here improves and generalizes the predecessors’ work. Finally, the example was given to illustrate the main result.
出处
《西华大学学报（自然科学版）》
CAS
2016年第5期92-97,共6页
Journal of Xihua University:Natural Science Edition
基金
四川省教育厅科研项目(14ZB0309)
四川文理学院面上项目(2014Z010Y)
关键词
梁方程
非线性边值问题
正解
存在唯一性
混合单调算子
不动点定理
beam equation
nonlinear boundary value problem
positive solution
existence and uniqueness
mixed monotone operator
fixed point theorem
