含下有界非线性项的一类弹性梁方程解的存在性与多解性  

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF NONLINEAR ELASTIC BEAM EQUATIONS WITH BOUNDED-BELOW NONLINEARITY

作　　者：姚庆六[1] 

机构地区：[1]南京财经大学应用数学系,南京210003

出　　处：《应用数学学报》2004年第1期117-122,共6页Acta Mathematicae Applicatae Sinica

摘　　要：利用锥拉伸和锥压缩型的Krasnosel’skii不动点定理,对于一类含下有界非线性项的四阶两点边值问题考察了解和正解的存在性和多解性.这类问题通常描述两端固定的弹性梁的形变.By using the Krasnosel'skii fixed point theorem of cone expansion-compression type, the existence and multiplicity of solutions and positive solutions are considered for a class of fourth-order two-point boundary value problems with bounded-below nonlinearity. This class of problems usually describes the deformations of elastic beams with both fixed points.

关 键 词：下有界非线性项 弹性梁方程 存在性 边值问题 多解性 正解 

分 类 号：O175.8[理学—数学]