Correct solvability of a general differential equation of the first order in the space Lp(ℝ)

N. Chernyavskaya; L. A. Shuster

doi:10.5817/AM2015-2-87

Correct solvability of a general differential equation of the first order in the space L_p(ℝ)

N. Chernyavskaya, L. A. Shuster

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We consider the equation (Formula Presented)We obtain minimal requirements to the functions r and q, in addition to (2), under which equation (1) is correctly solvable in L_p(ℝ), p ∊ [1,∞].

Original language	English
Pages (from-to)	87-105
Number of pages	19
Journal	Archivum Mathematicum
Volume	51
Issue number	2
DOIs	https://doi.org/10.5817/AM2015-2-87
State	Published - 7 Jul 2015

Keywords

Correct solvability
Differential equation of the first order

ASJC Scopus subject areas

General Mathematics

Access to Document

10.5817/AM2015-2-87

Cite this

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abstract = "We consider the equation (Formula Presented)We obtain minimal requirements to the functions r and q, in addition to (2), under which equation (1) is correctly solvable in Lp(ℝ), p ∊ [1,∞].",

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