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New Trends in Analysis and Interdisciplinary Applications pp 111–120Cite as

Birkhäuser

Source Identification for the Differential Equation with Memory

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Part of the book series: Trends in Mathematics ((RESPERSP))

Abstract

We consider source identification problems for the heat equation with memory on an interval and on graphs without cycles (trees). We propose a stable efficient identification algorithm which reduces to the solving of linear integral Volterra equations of the second kind.

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Acknowledgements

The research of Sergei Avdonin was supported in part by the National Science Foundation, grant DMS 1411564. The authors were supported by the Ministry of Education and Science of Republic of Kazakhstan under the grant No. 4290/GF4.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Alaska Fairbanks, Ambler Lane 513, 756660, Fairbanks, AK, 99775-6660, USA

    S. A. Avdonin

  2. Department of Information and Communication Technologies, S. Seifullin Kazakh Agrotechnical University, Pobeda Ave. 62, Astana, 010011, Kazakhstan

    G. Y. Murzabekova

  3. Department of Mathematical and Computer Modelling, L.N. Gumilyov Eurasian National University, Satpayev Str. 2, Astana, 010008, Kazakhstan

    K. B. Nurtazina

Authors
  1. S. A. Avdonin
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  2. G. Y. Murzabekova
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  3. K. B. Nurtazina
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Corresponding author

Correspondence to G. Y. Murzabekova .

Editor information

Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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© 2017 Springer International Publishing AG

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Avdonin, S.A., Murzabekova, G.Y., Nurtazina, K.B. (2017). Source Identification for the Differential Equation with Memory. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_15

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