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Existence of Solutions of a Partial Integrodifferential Equation with Thermostat and Time Delay

Author

Listed:
  • Carlo Bianca
  • Luca Guerrini
  • Annie Lemarchand

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.

Suggested Citation

  • Carlo Bianca & Luca Guerrini & Annie Lemarchand, 2014. "Existence of Solutions of a Partial Integrodifferential Equation with Thermostat and Time Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:463409
    DOI: 10.1155/2014/463409
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    References listed on IDEAS

    as
    1. Carlo Bianca & Massimiliano Ferrara & Luca Guerrini, 2013. "Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, November.
    2. Carlo Bianca & Massimiliano Ferrara & Luca Guerrini, 2013. "Qualitative Analysis of a Retarded Mathematical Framework with Applications to Living Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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