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1. Convergence theorems for HL integrable vector-valued functions with applications

Author

Heikkilä, S., Kumpulainen, M., and Seikkala, S.

Subjects
*STOCHASTIC convergence, *BANACH spaces, *VECTOR-valued measures, *FIXED point theory, *BOUNDARY value problems, *INTEGRAL equations
Abstract

Abstract: In this paper we prove dominated and monotone convergence theorems for HL integrable Banach-valued functions. These results and a fixed point theorem in ordered spaces are then applied to prove existence and comparison results for integral equations of Fredholm type in ordered Banach spaces involving Kurzweil integrals or improper integrals. Results are used also to solve concrete second-order functional boundary value problems involving discontinuities and singularities. [Copyright &y& Elsevier]

Published
2009
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