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A Multipoint Problem with Complex Coefficients for Partial Differential Equations That Are Unsolvable for the Highest Derivative

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Abstract

Conditions of correct solvability in various functional spaces of a problem with multipoint conditions in the time variable and periodicity conditions in the space coordinate are established for partial differential equations that are unsolvable for the highest derivative with time. Metric theorems on lower estimates of small denominators that arise in the construction of solutions are proved.

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Authors and Affiliations

  1. Pidstrygach Institute of Applied Problems in Mechanics and Mathematics of the National Academy of Science of Ukraine, Lviv

    I. S. Klyus & B. Ya. Ptashnyk

Authors
  1. I. S. Klyus
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  2. B. Ya. Ptashnyk
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Klyus, I.S., Ptashnyk, B.Y. A Multipoint Problem with Complex Coefficients for Partial Differential Equations That Are Unsolvable for the Highest Derivative. Journal of Mathematical Sciences 107, 3620–3625 (2001). https://doi.org/10.1023/A:1011906626677

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  • DOI: https://doi.org/10.1023/A:1011906626677

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