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0)(r)(s) ti@)t=o,t <2,ti(o) =1,2< dt<3,if(u) -tut-t,d >3

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njirpmed€L Bd4srndardnaih hhers, Irpsodrdiddk!€ddi(i.rc,pDFmEdbd)

M,TTSMATI( Tele6n: A,na Nysi6n, 07397ru263

cldhen relnbrd hdglkora 2004 {3 26 kt.03.{5 13.45

TMA132 Fouie.ud]B F2lKt, 5 po6ng

hn d iEHnhsar.

1. utEHa funkrionen J{r) = l,' < t, J(r) = 0,1 <. < 3iBede D c*J,(rr!,/3) p[ ibteNnnet (0,3) dnr 4 $r positiQ nolktiillen av Ji.

H , ' d a ' & d s r ? d p o y ' o m e - P ' r r s n n t d a q d ! ; N t - F | r ) , r , i r

(o$lruera en konlom avbildning sdm aabildd omrAdet 0 < rgz <

tr/4, zl < 2 p[ dd iiEe ba]rTldnet. Mlh problem i poiedialho lci nu l6Ba nod nj p aa den ovltldnilgeDi

!u tion€n J(t) hd rotrida'sfdnm j(u) der

t i @ ) t = o , t < 2 , t i ( o ) = 1 , 2 < d t < 3 , i f ( u ) - t u t - t , d >3

Fiir a > 0 nDkdonen ec(i) deiDiddsn eo(r) =:+. Betan tuhk-

liolen h(a) = J t(edr txrl rai.

L6s, ned hjiilp 6v rouidmslomaiion i ,,led, begtnnersevildepob-

w : v s 4 t . + e t , t > q d < a < e

4.,0J: t@),J e L\i e Ll

u(,, t') besd.sad da r + 6 5 .

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Fllation Delm €selElrpdt av nrliion€n och d€nm F-loe6de.td.

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a l v I

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Pr'5&'1a&1 aLit r

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r - / ' . 2 - \

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l'

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)u' ry'

)ire^r & \-, , -U)r)Ll

utr,{l= K+ Z-?+\l- e- I

i a : ( i ) u - + 4

5 t r ^ l , X

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