Stieltjes and Stieltjes-Volterra integral equations

dc.creatorGibson, William Loane
dc.description.abstractSuppose S is an interval [a,b], R is a complete normed ring with identity, G is the complete normed group of quasi-continuous functions from S into R normed with the supremum norm, and H is the class of all functions from G into G to which {0,0} belongs. D. B. Hinton identified a class F of kernel functions F from S X S into R and a reversible transformation y from F onto F containing only pairs {F,M} which satisfy the Stieltjes-Volterra integral equation M(x, c) = 1 + (L) [integral c to x] dF[x,I]M[I,c] for all {x,c} in S X S ...
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleStieltjes and Stieltjes-Volterra integral equations
dc.type.genreThesis of Arts and Sciences, Department of of Houston of Philosophy


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