In 1964, Zarantonello published a constructive method for
the solution of certain nonlinear problems in a Hilbert space. We
extend the method in various directions including a generalization
to a Banach space setting. A revealing geometric interpretation of
the method yields guidelines for the analysis.
G. F. Drukarev has given a method for solving the Fredholm
equations which arise in the study of collisions between electrons
and atoms. He transforms the Fredholm equations into Volterra
equations plus finite algebraic systems. H. Brysk observes that
Drukarev's method applies generally to a Fredholm integral equation
(I-λ G)u...
One of the most serious problems confronting modern America
is the efficient and rational utilization of the recreation resource base,
not only in terms of present demands and needs, but future as well.
The resource manager, in the past, has had few guidelines from
which to determine the type and...
The use of radioactive isotopes as tracers in biological systems
has become widespread since the close of World War II. Proper
use of radiotracers requires a fundamental understanding of the physical
nature of radioactivity, the characteristics of ionizing radiation,
and the various methods available for measuring radioactivity.
More importantly, the...