宁夏大学学报（自然科学版）2016，Vol.37Issue(4)：409-415,7.
一类非线性项包含导数的边值问题伪对称解的存在性
Existence of Pseudo-symmetric Solutions to A p-Laplacian Boundary Value Problem with Nonlinear Term Involving Derivative on Time Scale
摘要
Abstract
The following three-point boundary value problem for p-Laplacian dynamic equations with nonlinear term involving derivative on time scales T of the form is considered (φp(u△(t)))▽ +h(t)f(t,u(t),u△(t)) =0,t ∈ (0,T) T,u(0) =0,u(η) =u(t),where η∈ (0,T) T,T is symmetric in [η,T]Tand φp (u) =| u | p-2u with p ＞ 1.By using pseudo-symmetric technique and the five functional fixed-point theorem,it is proved that the boundary value problem has at least three positive pseudo-symmetric solutions under some assumptions.As an application,an example is given to illustrate the main results.The results are new even for the corresponding differential (T=R),difference equations (T=Z)as well as in general time scales.关键词
时标/边值问题/伪对称解/五泛函不动点定理Key words
time scales/boundary value problems/pseudo-symmetric solutions/five functional fixed-point theorem分类
数理科学引用本文复制引用
尹程,苏有慧,董婧..一类非线性项包含导数的边值问题伪对称解的存在性[J].宁夏大学学报（自然科学版）,2016,37(4):409-415,7.基金项目
国家自然科学基金资助项目(11361047,11501560) （11361047,11501560）
江苏省自然科学基金资助项目(BK20151160) （BK20151160）
青海省自然科学基金资助项目(2012-Z-910) （2012-Z-910）
江苏省六大人才高峰项目(2013-JY-003) （2013-JY-003）
徐州工程学院重点项目(2013102) （2013102）
