Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Bounded solutions of Stieltjes integral equations

Author: David Lowell Lovelady
Journal: Proc. Amer. Math. Soc. 28 (1971), 127-133
MSC: Primary 45.30; Secondary 34.00
MathSciNet review: 0273333
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 45.30, 34.00

Retrieve articles in all journals with MSC: 45.30, 34.00

Additional Information

Keywords: Bounded solutions, Stieltjes integral equations, Banach-Steinhaus Theorem, stability
Article copyright: © Copyright 1971 American Mathematical Society