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The intersection of the spectra of two Sturm–Liouville equations

✍ Scribed by YanXia Zhang; ZhongZhi Wang; Xuefeng Zhang


Book ID
119186934
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
196 KB
Volume
219
Category
Article
ISSN
0096-3003

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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: