标题:Positive solutions for a fourth-order p-Laplacian boundary value problem with impulsive effects
作者:Zhang, Keyu; Xu, Jiafa; Dong, Wei
作者机构:[Zhang, Keyu; Xu, Jiafa] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.; [Zhang, Keyu] Qilu Normal Univ, Dept Math, Jinan 250013, 更多
通讯作者:Zhang, KY
通讯作者地址:[Zhang, KY]Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China.
来源:BOUNDARY VALUE PROBLEMS
出版年:2013
DOI:10.1186/1687-2770-2013-120
关键词:p-Laplacian boundary value problem with impulsive effects; positive; solution; fixed point index; concave function; Jensen inequality
摘要:This paper is devoted to study the existence and multiplicity of positive solutions for the fourth-order p-Laplacian boundary value problem involving impulsive effects; {(vertical bar y ''vertical bar(p-1)y '')'' = f(t,y), t is an element of J,t not equal t(k),; Delta y'vertical bar(t-tk) = -I-k(y(t(k))), k = 1,2, ... , m,; y(0) = y(1) = y ''(0) = y ''(1) = 0,; where J = [0, 1], f is an element of C([0, 1] x R+, R+), I-k is an element of C(R+, R+) (R+ := [0,infinity)). Based on a priori estimates achieved by utilizing the properties of concave functions and Jensen's inequality, we adopt fixed point index theory to establish our main results.
收录类别:SCOPUS;SCIE
WOS核心被引频次:1
Scopus被引频次:4
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84887934124&doi=10.1186%2f1687-2770-2013-120&partnerID=40&md5=363ffcb98f5d98b9229c41d334c41240
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