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The cauchy problem for evolution equations with the Bessel operator of infinite order. II

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Abstract

We prove the correct solvability of the Cauchy problem for singular evolution equations of infinite order in classes of initial conditions that are generalized functions like ultra-distributions (analytic functionals).

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References

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Authors and Affiliations

  1. Chernovtsy National University, 2 Kotsyubinskii str., Chernovtsy, 58000, Ukraine

    V. V. Gorodetskii & O. V. Martynyuk

Authors
  1. V. V. Gorodetskii
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  2. O. V. Martynyuk
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Correspondence to O. V. Martynyuk.

Additional information

Original Russian Text © V.V.Gorodetskii and O.V.Martynyuk, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 7, pp. 31–42.

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Gorodetskii, V.V., Martynyuk, O.V. The cauchy problem for evolution equations with the Bessel operator of infinite order. II. Russ Math. 54, 26–36 (2010). https://doi.org/10.3103/S1066369X10070030

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  • DOI: https://doi.org/10.3103/S1066369X10070030

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