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Consider the linear operator L: BC[0, ] → BC[0, 7] defined by Си — и" - 2и is unbounded in the sup norm.

Consider the linear operator L: BC[0, ] → BC[0, 7] defined by Си — и" - 2и is unbounded in the sup norm.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove that Lis unbounded: Consider the linear operator L: BC[0, r] → BC[0, 7] defined by Lu = u" – 2u - is unbounded in the sup norm.
Transcribed Image Text:Prove that Lis unbounded: Consider the linear operator L: BC[0, r] → BC[0, 7] defined by Lu = u" – 2u - is unbounded in the sup norm.
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