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Abstract Euler–Poisson–Darboux equation with nonlocal condition

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Abstract

We find conditions for the unique solvability of nonlocal problems for abstract differential equation of the Euler–Poisson–Darboux equation. Nonlocal conditions contain either Erdelyi–Kober operator or Riemann–Liouville fractional integration operator.

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Correspondence to A. V. Glushak.

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Original Russian Text © A.V. Glushak, 2016, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, No. 6, pp. 27–35.

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Glushak, A.V. Abstract Euler–Poisson–Darboux equation with nonlocal condition. Russ Math. 60, 21–28 (2016). https://doi.org/10.3103/S1066369X16060037

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  • DOI: https://doi.org/10.3103/S1066369X16060037

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