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Half-range solutions of Sturm-Liouville kinetic equations

✍ Scribed by Dita, P

Book ID: 120940808
Publisher: Institute of Physics
Year: 1986
Tongue: English
Weight: 431 KB
Volume: 19
Category: Article
ISSN: 0305-4470
DOI: 10.1088/0305-4470/19/8/029

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We consider an equation &y"(x)+q(x) y(x)=f (x), x # R; ( 1 ) We study requirements for a weight function r(x) # L loc p (R) and for q(x) under which, for a given p # [1, ], regardless of f (x) # L p (R), the solution y(x) # L p (R) of Eq. (1) satisfies the inequalities: