This article is cited in 5 papers

Uniquely solvable problems for abstract Legendre equation

A. V. Glushak

Belgorod State National Research University, 85 Pobedy str., Belgorod, 308015 Russia

Abstract: 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.

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

UDC: 517.983

Received: 15.04.2017

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 1–12

Bibliographic databases:

• 
•