一类静态梁方程的非负解与非正解  

Nonegative and nonpositive solutions of an equation as sociated with an elastic beam

作　　者：宋灵宇[1] 李晓莉[2] 

机构地区：[1]西安交通大学理学院,陕西西安710049 [2]长安大学理学院,陕西西安710064

出　　处：《长安大学学报（自然科学版）》2005年第5期124-126,共3页Journal of Chang’an University(Natural Science Edition)

摘　　要：运用Leray-Schauder拓扑度理论,证明了带导数项的一端简单支撑另一端滑动的静态梁方程的可解性,得出了非负解与非正解存在的判据,仅要求非线性项f在原点的1个邻域满足一定的符号条件,突破了以往对非线性项f的增长性限制。所获结果对工程设计及相关数值计算具有重要的理论意义和实用价值。The existence of nonegative and nonpositive solutions for a nonlinear elastic beam equation is discussed with derivative arguments. The existence results without any growth restriction on f are obrained. Here only the condition is required that nonlinear function f satisfies certain sign conditions for a neighborhood of origin of coordinates,which breaks through previous growth restrictions on f. 6 refs.

关 键 词：四阶边值问题 正解 存在性 不动点 

分 类 号：O189[理学—数学]