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A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients

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Abstract

We establish conditions for the unique existence of a solution of a problem with formal initial conditions. We investigate the problem of its solvability in the case where a solution is not unique.

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References

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Authors and Affiliations

  1. “L’vivs’ka Politekhnika” University, Lvov

    V. S. Il’kiv

Authors
  1. V. S. Il’kiv
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 7, pp. 877–888, July, 1998.

This work was partially supported by the Foundation for Fundamental Research of the Ukrainian State Committee on Science and Technology.

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Il’kiv, V.S. A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients. Ukr Math J 50, 995–1008 (1998). https://doi.org/10.1007/BF02528829

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  • DOI: https://doi.org/10.1007/BF02528829

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