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Your search keyword '"Integral equation"' showing total 2 results
2 results on '"Integral equation"'

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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2. ON NON-ABSOLUTE FUNCTIONAL VOLTERRA INTEGRAL EQUATIONS AND IMPULSIVE DIFFERENTIAL EQUATIONS IN ORDERED BANACH SPACES.

Author

HEIKKILÄ, SEPPO and SEIKKALA, SEPPO

Subjects
*VOLTERRA equations, *INTEGRAL equations, *DIFFERENTIAL equations, *BANACH spaces, *FUNCTIONAL equations
Abstract

In this article we derive existence and comparison results for discontinuous non-absolute functional integral equations of Volterra type in an ordered Banach space which has a regular order cone. The obtained results are then applied to first-order impulsive differential equations. [ABSTRACT FROM AUTHOR]

Published
2008

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