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Solvability of Integral Equations with Endogenous Delays.

Authors :
Hritonenko, Natali
Yatsenko, Yuri
Source :
Acta Applicandae Mathematicae; Dec2013, Vol. 128 Issue 1, p49-66, 18p
Publication Year :
2013

Abstract

This paper performs a systematic study of some nonlinear integral equations with unknown lower limits of integration, which arise in economics, operations research, population biology and environmental sciences. A general investigation technique is developed for systems of such equations and several theorems about the existence and uniqueness of a solution are proven. The links to other functional equations with state-dependent delays are discussed. Applied interpretation of the obtained results is provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01678019
Volume :
128
Issue :
1
Database :
Complementary Index
Journal :
Acta Applicandae Mathematicae
Publication Type :
Academic Journal
Accession number :
91859851
Full Text :
https://doi.org/10.1007/s10440-013-9821-8