一类梁方程正解的存在性和对参数的依赖性  

Existence and Dependence of Positive Solution on a Parameter for a Beam Equation

作　　者：邱镜亮[1] QIU Jing-liang(School of Applied Science, Beijing Information Science ＆Technology University, Beijing 100192, China)

机构地区：[1]北京信息科技大学理学院,北京100192

出　　处：《数学的实践与认识》2017年第10期262-269,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(9011623903);北京市教委科技计划项目(71E1710957)

摘　　要：应用锥不动点定理并结合Banach空间中的半序结构,研究了一类梁方程的可解性问题.不仅得到了梁方程正解的存在性结果,并且讨论了梁方程正解对参数的依赖性.注意到梁方程中含有正参数λ和L^p-可积函数,获得的结果是新的,并从本质上推广了已有文献的结果.Using fixed point techniques combining with partially ordered structure of Banach space, we consider a solvable problem for a beam equation. We not only establish the existence results of the beam equation, but we discuss the dependence of positive solution on a parameter. Noting that the beam equation contains a positive parameter and a Lp-integrable function, our results are new, which are complement of previously known results.

关 键 词：梁方程 正解的存在性和依赖性 半序结构 HOLDER不等式 Lp-可积函数 

分 类 号：O175.8[理学—数学]