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A representation for solutions of the Sturm–Liouville equation

✍ Scribed by Kravchenko, Vladislav V.

Book ID
111671203
Publisher
Taylor and Francis Group
Year
2008
Tongue
English
Weight
181 KB
Volume
53
Category
Article
ISSN
1747-6933

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📜 SIMILAR VOLUMES

Weight Summability of Solutions of the S
Weight Summability of Solutions of the Sturm–Liouville Equation
✍ N Chernyavskaya; L Shuster 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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: