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Nonlinearly perturbed renewal equations: The nonpolynomial case


Author: Ying Ni
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 84 (2011).
Journal: Theor. Probability and Math. Statist. 84 (2012), 117-129
MSC (2010): Primary 60K05, 34E10; Secondary 60K25
DOI: https://doi.org/10.1090/S0094-9000-2012-00865-X
Published electronically: July 31, 2012
MathSciNet review: 2857422
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Abstract: Models of nonlinearly perturbed renewal equations with nonpolynomial perturbations are studied. Exponential asymptotic expansions are given for the solutions to the perturbed renewal equations under consideration. An application to perturbed M/G/1/ queues is presented.


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

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Additional Information

Ying Ni
Affiliation: Division of Applied Mathematics, School of Education, Culture, and Communication, Mälardalen University, Västerås 721 23, Sweden
Email: ying.ni@mdh.se

DOI: https://doi.org/10.1090/S0094-9000-2012-00865-X
Keywords: Perturbed renewal equation, nonpolynomial perturbation
Received by editor(s): October 30, 2010
Published electronically: July 31, 2012
Article copyright: © Copyright 2012 American Mathematical Society

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