Geodesic
Abstract Euler--Poisson--Darboux equation with nonlocal condition
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2016), pp. 27-35

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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.
Mots-clés : nonlocal condition, Euler–Poisson–Darboux equation
Keywords: unique solvability, Erdelyi–Kober operator, Riemann–Liouville operator. 
@article{IVM_2016_6_a2,
     author = {A. V. Glushak},
     title = {Abstract {Euler--Poisson--Darboux} equation with nonlocal condition},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {27--35},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_6_a2/}
}
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A. V. Glushak. Abstract Euler--Poisson--Darboux equation with nonlocal condition. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2016), pp. 27-35. http://geodesic.mathdoc.fr/item/IVM_2016_6_a2/