This article is cited in 20 papers

Abstract Euler–Poisson–Darboux equation with nonlocal condition

A. V. Glushak

Belgorod State National Research University, 15 Pobedy str., Belgorod, 308015 Russia

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.

Keywords: nonlocal condition, unique solvability, Euler–Poisson–Darboux equation, Erdelyi–Kober operator, Riemann–Liouville operator.

UDC: 517.983

Received: 09.10.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:6, 21–28

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