摘要
研究了时标上三阶非线性p-Lap lac ian三点边值问题[φp(p(t)uΔ(t))]+a(t)f(t,u(t))=0,t∈[0,T],βu(0)-γuΔ(0)=0,uΔ(T)=αu(η),uΔ(0)=0借助于锥上的五泛函不动点定理,得到了边值问题至少有三个正解的一些新的结果,同时给出了例子验证了主要结果。
The following third order nonlinear p-Laplacian three-point boundary value problems on time scales [φp(p(t)u^Δ(t))] +a(t)f(t,u(t))=0,t∈,βu(0)-γuΔ(0)=0,u^Δ(T)=αu(η),u^Δ(0)=0are studied.By means of five functionals fixed point theorems in cones,some new results for the existence of at least three positive solutions of the boundary value problem are obtained.As an application,an example is given to illustrate the main result.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2011年第3期17-21,共5页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(60604004)
河北省自然科学基金数学研究专项资助项目(07M005)
关键词
时标
边值问题
正解
不动点定理
time scales
boundary value problem
positive solutions
fixed point theorem