Geodesic
Uniquely solvable problems for abstract Legendre equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 3-15

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For loaded abstract Legendre equation we find sufficient conditions of solvability of the Cauchy problem and the boundary control problem. We also consider nonlocal problem that contains fractional integral of a function with respect to another function.
Mots-clés : abstract Legendre abstract equation, nonlocal condition
Keywords: Cauchy problem, unique solvability, fractional integral of a function with respect another function. 
@article{IVM_2018_7_a0,
     author = {A. V. Glushak},
     title = {Uniquely solvable problems for abstract {Legendre} equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {7},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_7_a0/}
}
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A. V. Glushak. Uniquely solvable problems for abstract Legendre equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2018_7_a0/