Open Access
2014 Existence of Solutions of a Partial Integrodifferential Equation with Thermostat and Time Delay
Carlo Bianca, Luca Guerrini, Annie Lemarchand
Abstr. Appl. Anal. 2014(SI04): 1-7 (2014). DOI: 10.1155/2014/463409

Abstract

This paper deals with the mathematical analysis of a retarded partial integrodifferential equation that belongs to the class of thermostatted kinetic equations with time delay. Specifically, the paper is devoted to the proof of the existence and uniqueness of mild solutions of the related Cauchy problem. The main result is obtained by employing integration along the characteristic curves and successive approximations sequence arguments. Applications and perspective are also discussed within the paper.

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Carlo Bianca. Luca Guerrini. Annie Lemarchand. "Existence of Solutions of a Partial Integrodifferential Equation with Thermostat and Time Delay." Abstr. Appl. Anal. 2014 (SI04) 1 - 7, 2014. https://doi.org/10.1155/2014/463409

Information

Published: 2014
First available in Project Euclid: 27 February 2015

MathSciNet: MR3272199
zbMATH: 07022428
Digital Object Identifier: 10.1155/2014/463409

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI04 • 2014
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