Let S denote a Banach Space,
B the bounded linear transformations on S, and let Q and A denote functions from
[0,∞) into B with Q continuous. The objective here is to derive a Green’s function
KA and hence an integral inverting operator RA for the singular boundary value
problem
![{
Y′ − QY = H
A (0)Y (0) + lim A(cn)Y(cn) = 0,
n→ ∞](a110x.png) | (1) |
where {cn}n=1∞ is a positive, increasing, unbounded number sequence and H is a
continuous function from [0,∞) into S.
|