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...
The kernel subtraction method of Kantorovich and Krylov is
studied in the setting of "Collectively Compact Operator Approximation
Theory." Fredholm integral equations of the second kind have
weakly singular kernels smoothened by a simple manipulation. This
allows for accurate numerical estimates of low order. The method
is first explained in...
In this thesis we examine the approximation theory of the
eigenvalue problem of bounded linear operators defined on a Banach
space, and its applications to integral and differential equations.
Special cases include the degenerate kernel method, projection method,
collocation method, the Galerkin method, the method of moments, and
the generalized...
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.
The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets....
The thesis analyzes the demographic, attitudinal and
behavioral characteristics of animal rights activists,
placing them in the context of resource policy. It is
argued that the animal rights movement combined the
Victorian critique of empiricism with a reaction to
modernity that was characteristic of other contemporary mass
movements. Animal rights...
Effective and sustainable fisheries management not only depends on identifying and defining stocks (fundamental unit of management), but also on having knowledge of factors influencing the abundance, distribution and connectivity of stocks. Population structure of Pacific cod (Gadus macrocephalus) in the southeastern Bering Sea (EBS) remains unresolved although genetic data...
