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Atomic functions: Generalization to the multivariable case and promising applications

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Abstract

Main trends in the theory of atomic functions are outlined. These functions have been studied for more than 35 years and gave rise to new research areas in mathematical analysis, approximation theory, numerical methods, etc. Atomic functions are infinitely differentiable solutions with compact support to special functional-differential equations.

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Authors and Affiliations

  1. A. N. Podgornyi Institute of Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine

    V. M. Kolodyazhny

  2. N. E. Zhukovskii National Aerospace University (KhAI), Kharkov, Ukraine

    V. A. Rvachov

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  1. V. M. Kolodyazhny
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  2. V. A. Rvachov
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Correspondence to V. M. Kolodyazhny.

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 155–177, November–December 2007.

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Kolodyazhny, V.M., Rvachov, V.A. Atomic functions: Generalization to the multivariable case and promising applications. Cybern Syst Anal 43, 893–911 (2007). https://doi.org/10.1007/s10559-007-0114-y

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