Positive solutions for a nonlinear differential equation on a measure chain
We are concerned with proving the existence of positive solutions of general two point boundary value problems for the nonlinear equation Lx(t) := -[r(t)x(Delta)(t)](Delta) = f(t,x(t)) We will use fixed point theorems concerning cones in a Banach space. Important results concerning Green's functions for general two point boundary value problems for Lx(t) := -[r(t)x(Delta)(t)](Delta) = 0 will also be given. (C) 2000 Elsevier Science Ltd. All rights reserved.
measure chains