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Variational and Free Boundary Problems pp 135–152Cite as

A Two-Sided Game for Non Local Competitive Systems with Control on Source Terms

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Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 53))

Abstract

A two-sided game for the control of a stationary semilinear competitive system with nonlocal interaction terms is considered. The controls of the system are the autonomous sources. The saddle point of the system, i.e. the optimal solution of the game, is characterized as the unique solution of the associated optimality system, which is solved by an iterative scheme.

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Author information

Authors and Affiliations

  1. Mathematics Department, University of Tennessee, Knoxville, Tennessee, 37996, USA

    S. Lenhart

  2. Engineering Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 37831, USA

    S. Lenhart

  3. Engineering Physics and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 37831-6363, USA

    V. Protopopescu

  4. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio, 45221, USA

    S. Stojanovic

Authors
  1. S. Lenhart
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  2. V. Protopopescu
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  3. S. Stojanovic
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Editor information

Editors and Affiliations

  1. Institute for Mathematics and its Applications, University of Minnesota, 55455, Minneapolis, MN, USA

    Avner Friedman

  2. Department of Mathematics, Johns Hopkins University, 21218, Baltimore, MD, USA

    Joel Spruck

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© 1993 Springer-Verlag New York, Inc.

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Lenhart, S., Protopopescu, V., Stojanovic, S. (1993). A Two-Sided Game for Non Local Competitive Systems with Control on Source Terms. In: Friedman, A., Spruck, J. (eds) Variational and Free Boundary Problems. The IMA Volumes in Mathematics and its Applications, vol 53. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8357-4_9

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  • DOI: https://doi.org/10.1007/978-1-4613-8357-4_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8359-8

  • Online ISBN: 978-1-4613-8357-4

  • eBook Packages: Springer Book Archive

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