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Some Properties of the Zeros of Polynomial Solutions of Sturm–Liouville Equations

✍ Scribed by Campos, R. G.

Book ID
118199925
Publisher
Society for Industrial and Applied Mathematics
Year
1987
Tongue
English
Weight
462 KB
Volume
18
Category
Article
ISSN
0036-1410

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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: