Uniquely solvable problems for abstract Legendre equation

A. V. Glushak

Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2018), pp. 3-15.

Résumé

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.

Détail

Mots-clés : abstract Legendre abstract equation, nonlocal condition
Keywords: Cauchy problem, unique solvability, fractional integral of a function with respect another function.

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