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On the uniqueness criterion for solutions of the Sturm-Liouville equation

✍ Scribed by Kh. K. Ishkin

Book ID
110149409
Publisher
SP MAIK Nauka/Interperiodica
Year
2008
Tongue
English
Weight
699 KB
Volume
84
Category
Article
ISSN
0001-4346

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✍ N Chernyavskaya; L Shuster πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 154 KB

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: