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Your search keyword '"Integral equation"' showing total 2 results
Start Over Descriptor "Integral equation" Topic bochner integrability Publication Year Range Last 50 years Publisher texas state university
2 results on '"Integral equation"'

1. On non-absolute functional Volterra integral equations and impulsive differential equations in ordered Banach spaces

Author

Seppo Seikkala and Seppo Heikkila

Subjects
HL integrability, Bochner integrability, ordered Banach space, dominated convergence, monotone convergence, integral equation, boundary value problem, Mathematics, QA1-939
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.

Published
2008

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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