Multiple positive solutions for boundary value problems of second order delay differential equations with one-dimensional p-Laplacian

• DOI: 10.1016/j.jmaa.2006.03.028
• Publication Date: 2006-04-18T15:18:47Z
• Authors: Youyu Wang; Wenxia Zhao; Weigao Ge
• Keywords: Delay differential equation; Value (mathematics)

AbstractWe consider the boundary value problems: (ϕp(x′(t)))′+q(t)f(t,x(t),x(t−1),x′(t))=0, ϕp(s)=|s|p−2s, p>1, t∈(0,1), subject to some boundary conditions. By using a generalization of the Leggett–Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problems.