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Filtering by: Subject Equations Creator James, Ralph Leland

The solution of singular volterra integral equations by successive approximations

Creator:

James, Ralph Leland

Resource Type:

Masters Thesis

Full Text:

EQUATIONS B S E E APPROXIMATIONS Abstract approved t The integral equation tR(t) = SK(t-u)R(u)du, where
Convergence of positive operators

Creator:

James, Ralph Leland

Abstract:

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....

Resource Type:

Dissertation

Full Text:

previous theory is applied to the inte- gral equation (3.1) x(t) - x(s)k(s, t)dp,(s) y(t) where C2 is a