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Correct Solvability of the Cauchy Problem for One Equation of Integral Form

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Abstract

We describe spaces of test functions that generalize S-type and W-type spaces. In these spaces, we establish the complete solvability of the Cauchy problem for one equation of integral form with Bessel fractional integro-differential operator.

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REFERENCES

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  1. Chernivtsi National University, Chernivtsi

    V. A. Litovchenko

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  1. V. A. Litovchenko
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Litovchenko, V.A. Correct Solvability of the Cauchy Problem for One Equation of Integral Form. Ukrainian Mathematical Journal 56, 228–243 (2004). https://doi.org/10.1023/B:UKMA.0000036098.43094.f7

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  • DOI: https://doi.org/10.1023/B:UKMA.0000036098.43094.f7

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