| | |
Summary: A STACKED DELTA-NABLA SELF-ADJOINT PROBLEM OF EVEN
ORDER
DOUGLAS R. ANDERSON AND JOAN HOFFACKER
Abstract. Existence criteria for two positive solutions to a nonlinear, even-order stacked
delta-nabla boundary-value problem with stacked, vanishing conditions at the two end-
points are found using the method of Green's functions. A few examples are given for
standard time scales. The corresponding even-order nabla-delta problem is also discussed
in detail.
1. Introduction
In this paper we determine the Green's function for a self-adjoint, even-order boundary-
value problem, namely
Bx = h, where Bx := (-1)n
(xn
)
n
with the boundary conditions
(1)
xi
(a) = 0, 0 i n - 1
(xn
|
