1 ( Problem 30. Prove that PP1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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from which we Conclude that
Problem 29. Prove that the fanction is with Comfact support)
Thus, for xER, we have
w is with Comfact Suftortwet
G(vc2)=W(x)=
188
V(t) dt
-00
and by Holder's ineguality
P-1
"p
Solve problem number 29 and 30
(3
(8)
where c is a universal constant (indefendent of
P-1
"P ?
2P
( Problem 30. Prove that PP:
Argue now by density. Let usw'ER),
there
ezists a sefuence (4)<C(R) such that
1,P
k in w(R) (by Theorem 8-7 )' APPIsing 0
we have
Transcribed Image Text:from which we Conclude that Problem 29. Prove that the fanction is with Comfact support) Thus, for xER, we have w is with Comfact Suftortwet G(vc2)=W(x)= 188 V(t) dt -00 and by Holder's ineguality P-1 "p Solve problem number 29 and 30 (3 (8) where c is a universal constant (indefendent of P-1 "P ? 2P ( Problem 30. Prove that PP: Argue now by density. Let usw'ER), there ezists a sefuence (4)<C(R) such that 1,P k in w(R) (by Theorem 8-7 )' APPIsing 0 we have
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