TY - JOUR
A2 - Zhang, Binggen
AU - Zhang, Ying
AU - Qiao, ShiDong
PY - 2009
DA - 2009/03/08
TI - Existence of Positive Solutions for -Point Boundary Value Problems on Time Scales
SP - 189768
VL - 2009
AB - We study the one-dimensional p-Laplacian m-point boundary value problem (φp(uΔ(t)))Δ+a(t)f(t,u(t))=0, t∈[0,1]T, u(0)=0, u(1)=∑i=1m−2aiu(ξi), where T is a time scale, φp(s)=|s|p−2s, p>1, some new results are obtained for the existence of at least one, two, and three positive solution/solutions of the above problem by using Krasnosel′skll′s fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as Leggett-Williams fixed point theorem. This is probably the first time the existence of positive solutions of one-dimensional p-Laplacian m-point boundary value problem on time scales has been studied.
SN - 1026-0226
UR - https://doi.org/10.1155/2009/189768
DO - 10.1155/2009/189768
JF - Discrete Dynamics in Nature and Society
PB - Hindawi Publishing Corporation
KW -
ER -