Bounded solutions of Stieltjes integral equations

Lovelady, David Lowell

doi:10.1090/S0002-9939-1971-0273333-1

Bounded solutions of Stieltjes integral equations
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Proc. Amer. Math. Soc. 28 (1971), 127-133 Request permission

Abstract:

Necessary and sufficient conditions are found for the existence of bounded solutions to some classes of nonhomogeneous linear Stieltjes integral equations. A theorem on the stability of bounded solutions is obtained, an application to a nonlinear Stieltjes integral equation is made.

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