山东科学
山東科學
산동과학
SHANDONG SCIENCE
2012年
5期
6-10
,共5页
四阶边值问题%不动点定理%正解
四階邊值問題%不動點定理%正解
사계변치문제%불동점정리%정해
fourth-order boundary value problem fixed point theorem%positive solution
基于泛函形式的锥拉伸与锥压缩不动点定理，本文获得了一类四阶梁方程边值问题正解的存在性．与已有文献不同的是本文所研究的方程的非线性项依赖于所有低阶导数．
基于汎函形式的錐拉伸與錐壓縮不動點定理，本文穫得瞭一類四階樑方程邊值問題正解的存在性．與已有文獻不同的是本文所研究的方程的非線性項依賴于所有低階導數．
기우범함형식적추랍신여추압축불동점정리，본문획득료일류사계량방정변치문제정해적존재성．여이유문헌불동적시본문소연구적방정적비선성항의뢰우소유저계도수．
This paper addresses the existence of positive solutions for a type of fourth-order beam equation boundary value problems based on function-typed fixed point theorem of cone expansion and compression. The unique characteristic is that its nonlinear term depends on all lower-order derivatives.
