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Weight Summability of Solutions of the Sturm–Liouville Equation

✍ Scribed by N Chernyavskaya; L Shuster

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
154 KB
Volume
151
Category
Article
ISSN
0022-0396

No coin nor oath required. For personal study only.

✦ Synopsis

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:

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