Chapitre V . Quelques problèmes de Cauchy
Transcription
Chapitre V . Quelques problèmes de Cauchy
-70- eHAPfrAE X: et ELeuEs p/tôblÈnrs t -^ ':u" l1;s , ,Jes ov ér-Lrry "in DE c/)L,cti/ s i'a/|onrorr>.,"'( tJ.ed, /é7eal<a 7 <L,.)enyrl r'? ::." /'e'7'''z).ba Jo)o,,)o/ec,, 5,-a, i,"v,à, r" Ii #^i:f.:':'l'.,* :' âc S"ÀdJiry-. - E 4 , teit.ùbI J< iàr- t en ear/.s (f à-esrEtl"î - faty'a.2n àt-A relt,a r,/'à d",",t , ç11lalçi: /îvo tæn one "lonte"roiubon - 7e'4p0217. le 2rcâ/àne e/ë'nea/airc (ea J. Ca.,,A7paL-r.r1e d.,iJ. Vo"ltbo/,,pt lentjw., ttt;ha/. ";',:i;;;;r."- ) ultjEsôLu r i au stÉn entil m e?.'arrizt t LValr>i , ,o u, /-!3ll'. té\ .chà/c-/'. 2Je lo <tc lo,lr.. ." rê7it l<g,:/ âes ).s ff ittcznànet &cm èz.t J. J. Ji, J)hfrr..n . d7;aàlas .f 4,!"uliloI J,h,:s,o,o)oj,i"*r: ;.brl tta cheze/te c'ze zlisthlaÀon E^e $,(le17 ni) â rurVoor,rJa^ F.rA", el- /e//e -AE =$a,rt . àrÊ 7'.,e So ,îa,rrÂ*é. d. EurierTzan5.e/L.n..,Ë, d:"''. >rË nEf 1o,rEo,i|nfr.xé,1o ')a.,e i::': solcrt,*,le t*: nf *o, zl,/#teahr'/t-Ë=lc>e4t|t eaL A'i f4.rl esr Ë 7t,ç1=rur.Jàri' 1i-'ll"?:*:.:,!r!, !i*ta",').,-esr2.,.u I^J./,,,>J,,trr,rii,tt),,,I ay,rnl; loor?êï(A",),1<Ë,,ç>l=lf .làJÉ i la;ryc7 lou t Lt oc,' L,/i,' ffi ln E(t'->= *y : :::::'): r:: :: = (E+^*'(tt-'t)ilFr) 8, L:",'"--erfliç :-"J"-# E(t,xt= t) e ât = @r . r v n ) (2U;.E)" Cetf- AncAbz ': ne. co)'nr;:Je aveê. E a yrb,.,i 7i,e.lqnr -.1, "u-?':I::!:7,*1,"à ecf no/lz tt, //ais E /ê=) ,/ ta_,ye"/,Jt*el,p,eiyt,<_ E nevatt/.,1 7n,-n thoùb. -,r.;2,-ti;z-;, /arybuf sqct/ à /taù.)ne.,Car E Trerf {*. e'/l/.7pn" /brt11.,ao),êe q.t ,/4em,et ) rrnù."a <àre -arry> tILw'f e,ît?lùt') eu AÂe ,nr"i),a7.,Lt/. vù'r5.. dcf\: / a nêè;feae /qt, La ci-alc.çt7t-"t7]. Èor)e" uÀèa atraëip ane tdc't\oa , "c/ cd'oA^tt_4ôJ) r^. /.tt,t'el à /a ,hêhb^ <') / bVétufen.lvtctr )t de f: f.î1..!/*,'e- aaUyhlt'e Vat Ày7Le/iy')7,., /u- f, A;l ylA ! /oco/.zrreaf sz te| .t /'.k;h; E(ê2) "t E;f"/", c/ta/eur esl ,4y7o e/lyÀyce, nau /a. "Ao/ert, lo , 1c/. .l.X âé, TàJaæ.ne,et flenarTuc_ 2) '7'l ' PâOELÈflF DE C/jucHy PêÙA LA CI/AIEAA xtRà)e'lant Jata{o,,on ,'l.nl. ueâ;'64;n) f . û'(ao,* f =i,i telle Titer )àeu-A,.u=ç *'rdrn" 7r. â(c,x)aîtuttre,ol ) Lub,'') =ltottÔ uo"îttlflf;) Le * te'co jtar d" ûo-r- ert /e ràyctnt 1/7a, /2,, t )ë c.'s )c'ncgèa. t l=") TÀrÎorên.' Soitae R et u)ç11t76x . Z/ exisb tm" etl,nc te conh'npe el" fo,+ooS ---.+Ht(An), sé;t b r+@tlS-= u(ttz-) eôt(tatxç\) fe/hcJ''. DyU-A*u=e g E t R a x ) R n €t a(o) = 1.lo7 P'eeve' Ç c n*u,*) elt cbn/t>>r/eà" fo,*ar ''i-",!:?'"":^/2(':'rc !.'?:.!,!':: L t.-' )t4qt) va' cJe iRr àa,r, Ha'z , àEi. Jtî donc fl j aLrs Lt-+,r.-ittÈ) <:rt caqhztc a2ah'a"e:), ei çi at ccy',o/oAba, (et,nc,raof tt r^ ,bn"funr.J.o]7*, a11;el/. "rt z ), .omtt c ea le ./a#,.A, ) /erae,t/',",|on, ( R, x,il^ ), $, ç \,n 7 a,c; à.ti (l''4 t>o, )on a*(Qdf1.)r,il"rg)=_l1tn((,+lçt")rç VC,çù 1 :o Toor L,zVcttv'tlAeiee)h"t'ne tV"rli" rlaiT^. o-, 4S!o^ L"Jrg, cerTa QÂEi")+"itaD = ctile.-tçr', ut ,iJ^i;:", )/ ytettt".i 1o./,i.;k e/pr.,r /\'ey,. b#,:. Caç) = Qtlti')^." iî.fS I " Èhal"st,e,,iî(t,g ) -6rtr.:tti'r convttele-'rt'tr I 4 ) et 4G) (,tttç1")n" . /Lo,oa a u(trxl{Ë(r,E)'"-"*.Ho' /retr /tùt- t>o./rli , et la. æn,ô'au;rr.d. t r.-_-(i.tç>.-Êt,i1*-;" ,?"t/t _ /)ar e.,remy/e /u t).brêtre ( rc/ o s;/i o" hnùbn I o s?/!.)? CN Jor lRtrrAn ,f':,!i1!t*^, t:à obaalrpryrn"o = J",m';nj. . A k do..nro j / è-^u J " CouJy jp nt t J rnt " rt oL7 r à!î t+çt .t_.,f tçt,1grcp E,]7o" Esf. - Et-i,,/ pa., làf ullrla-et < liu"tl Ht Toor /7uska1lV DeV/c.s,Va.r tbatrA/e-A, ( r-l\t")*t lgfk ti"ttl€'-lÉtiteçt qfa,c /L,(tAn) po,, /42;,r[>c> .,Jan. >[ u}t-, u O H4'f,4") - C-ûAr) -t ,6.en, 8.^*Zr*: n,en)t. ,l) i" Qon ,tctnoTèa.), ar." irt tec€rtJ /'oÀ/.-^..oin/"nl en x) t'e na'/= ,Çr,me,//ene,t/- cJe f"t mîtqe Af.,,, f t-Vé* Dritr(t \.t r tti" fr ft , t ) =7 G,t ) et'i(49 =Ë,(q ) d L; i /t,ç) =cft31;tÇt,2 4 r.c àrc(t,t) a- ttt't -/ t, Ç) " fu c tl o,J,1,l. varîa /tiaa cle lo caa t h,l lT') -'/ rl s'cnsttf7..:.^cqft) - ['/ta,{.iEt'-t4 *c"(É), /t;: =ctt) A hil - e-'ErbIE7a,çritEt\J" r e(gy-tttlt et.Vou,t-=o,,i"G) , -ErI rlnoLarcnr-,Lrc,ù=(# ! il6 *fr,irn,tl.,H\"toJJt l^_.tt.* ,,tais eelÈ &,t,r/. ."rt)lE, J./,'rok à e4t/oih^.,ar/ec tnh!,,o).s "lbrne/Lc", itorr. -une sc,tf cerÀ.;aeVrirn;l)r. d. jiei;'."', à Vr.Linl ç,rn;/t'. e* /hc/r< ia ia,ttiêrmel L Ær'ri."dLao diil;lu/tb+ lenVJreb.-- -72Û Ao. V i(Ao). lu/gotto - tà (o,,rq). /.e /) Jate^me d. /oi<7.h/teae,. ??*?r. ('cA E, 64) nout "lit a /rrt gr.. rto .ciuro fua, ),"n e,, i,ère t //. yr:. t AIveN,c -o, /Ça6'. z C ( , t + l g l ) ù e at r - " , € i p. . . r r i , / e e , t r o . t4ttlt dcna J,, io É ) e- t'tl2 e st ettc os2 orr.,&.,.ibn ei, hVle, eta J.b*i ssoa". TLzlttlc ltr llâ a)ati ca | /on ,n<.tb.e hc dJtuio, 7ue tLzlz s. ser d{ire\s eà uh'/,'ç,r.tt- )o fara,u/" J. ao",.l).- Don. i_\t,fie?(An) *yarrz,ih. g,"rsl-B^) Hor\ aasÇ- n Ie st 7/r's V, it 177. etVt,rr.., A"/'' Jonc /n, Jrrert o,.rr, )m agi - nztiles,car le-è (ÇLtrt"l=le:t[?i'.) - 2itÊ.? l-e-É'."i' oe_(e:,t re ),ttfêr^e; y'o. C:re- R'l|l Vc,c,. a..iI ua'cc,ë/ole 1l/>o, Ct2<:>. Il s,/ens,it',-l-1",., /o,. /u. tleb/â^c 1. /,ry1hi)"r,^,ir- t to,O la ù'êA.'çba .1. /o c,hoi""n i,'r4,rrnrloolanJneut 3) Dt"" /te7,t-"t)ba e/. /o "hof.t,,... /e s$rn- ta.naj Ja,6 âr-A ioo. isn tâ;, esceah-l ' i/. n 'es/ ù')aysn1.. /" rer./ts,, (tt;_ ltar Vtelfpa s;.na,,a,n. /e "régt/o,sont" /Dtv:r'.e,l'1Hl eL /a. d,ty'r1,c;on , tjr":i { A'iîÇ"rro"" pr e2" J eu/è . L o A ern o,) a,tmi Le d.,r",7 J" r / 7 ;; J ;: ; ^ ;r,;:.:; :;;' r. r,U_,, 1 A) P* è>o Axë, aohas L, lh7y/t2atbzt tlo;*4(fr.) Ju làeLti;',..e. c jlr,Jo^orVlisme àJ S1i1^^1,J. rir u+-t D. p/Lj..,m,e Lrrr,(h)(É) - i{".(t)"-lFl"r4;2 .(i.et;ttt'a )""Ét'o, o, u Lr"Lr, = Lr*r, , /"., settr -jg.p-- fu ::ê r * /-o=r/71o.On J|7.rto, u un .l(ea dontat/t,1,lrnes cl. HÀ Fcrmelâzaent-si /ba lote aa.,tno./c = eoD-5 O = /,i,, LtrA-/t 4,r, ,.r - /,; Lz-iJ jî..2-".*!;;.1r' 7a.à> de /a. conna,'rlo^." J. son'îë4!!gt * ,ifr,n;/{s"^J,,D (7u'etl- î,a"c/tir,'ée"à )bt;git,e . lie,\ O e:/, ùi /iénhu. ) ,f'.CtSt1)"T , cbsLà-dite /e l,,rt/ac;<oA 7";--V7)7,,. llnJont " H 4'2, . Ltt ce Trba aTVellen êp{ée* n.,À às!!! t", ,l 4,,/ nte"t' J. lt 1 îoa "4/am<tineo/7i.ot- de.t1e. deAl; V< !!!,rn. 1uù'*. /r.,,;ir..i;/ d",,&u"1, â""- sot'f 2oa reyetr/1 /'*".)? , ac, no|at Je la c.).r/.ru,pcutals,n. r/.L/;r., 1/ rccleratl à cli/erm ia e. '7t./1. , / /)yaoHe'rc ' ,/ t*u/ h;re îaî /(o e la iê/.ie 7e Ê-.bt/cheat./ /oar -v3'UllE SaLUfiot /o r..h"r"ir. /.q;f.. pertl'.se .ento,". DE scdA6D//v6;A ÈténElrTn/AE -4E=c} ,l'on" æi..,ÀbnE te'ye'r{e d. +)EE Vctr frans Al.znahbq'Ju D.,nVr. 1ior.)'el/e s3- /"c taa'alle: "l'""7or-, tl1f F =Joel. iàrË E dqas Ditn) po'+ latÈ E-$xi , Ë lr,Ê).- è HID *) /n. /ë. i.; , JL: un. rdl".,ttb.t -èl€12è ,o'e;/..rte hnch'on Lo,{oa. Lij. ,7o; clëA>l J/"n t41e c!;r-/frluh>a /en;iie. |taic )'/A t er.t,bn cle Llprt?r ect tci rtt Vu ia h'-r J.')irot ,e-or /e récel/o.f n,'yt q,.-(eètlJ\l , o".. uro, 7/r's l/-f. - 9; /ba Vaso Ëo = i H7t1 Ë, - Ë (èrrr,yeac" 4la ;né,), don,, oo.rr) ?.zt..J €,- oi , J,rn, L/o" Puu- Ë, , /e rn ê.r, e t'a-L., ) Je, l't'nt'etron d< 6c,ritt /a,l/.mea'/ Jon, !! chqlo7r.'e zJatts /. c.rs du /o t><> : Josroe 7o,.r kf.â-t) E, (tt -) = t t'zr)-he^p (#*)-[ e tt,'*tttt), .u77,!,_î,.rL"nr l|^u",,ur€,)€,), /ia^l s -o,,/o,J*r,..ù... lf feal rre,,s/<zinuittancen-1è-te J.LryJ, 2Sc.i7/a qte a{s s!2gfu e,y!ront".g"n ju, aà J ett(i:rrrÇ"r*=Zr*t", J=l'Z-u"o=JZ,*,;- -; o"àn !''-sr, t' "':.*:/"nrr.'. tr^l,ii., ,êr;,tr',yliTusan<Jt /a7ar;Ëe/de a\o ) 7't '-'t = l' t'au"clu=lf{ - Cr,*rI CosxLd,a 12 + =;r+ J-o ùl E" f""J arltdzy' ) verc /o én.hbn E(t,x1= H(È);""'"t G oejï",p f#' ftqir celL hn.)bn ,,i:r,f/:'t O/o" o" ,flnog. Je t=o /vu| s)n=,t), e1 ne 1e1/ o/it1u;,^.cne"l;crbâan""-/e^qi".â /,, Vo. un),oréde J. -t".!. à p,h'r)eory tur,)alle5 ("i. ./",.f,'g e r' /e ^, iLr" vattàlle ,Ar::", I il ale râjip;/ lcî Je't1nsr PP l!!) )qtech=3.,/oat l.ras/l2s;yr.,,) 5; /bn c)rrrlitcoram. "1.'ir,'ff:nr. "uo /t<.),. tlzt- <À l;m;f. /a"â/. do Es Fec4J e--ôro , e/or" /o J'stJ;,lurlzn orror, lT|on , Je &V7ort F Ce (n,îacyo, L/"" ! ) ên coac)ut (c/, 'f , î é) .iypo 7r," I L/;r-t"r^ a" fu.ltéJ;ag"n n Lltz_r, + '/ ell;ph'7ue -74 PAoBtÈne DE cnu(Hy PouA scnaôDit*eA d. Cau"ly P"o, /. yollàt^" oa a de mên," (c/ $z) /e- "lurnoTèa.", elîAL-a,u=o L u(o,L) -- uo 'T/tJarêm.., soitae'1fi' eI thGH4ûA,)t, /n*tl.^.aÂ^u^o et et i,rte a,n e îed îe()/e le sohhan SoJahan t-ttjt-- ù(t,.)-. t,,.r .- \ - ..., , - C-(2),{_S--+ HA(tAn)).Elie.cf ,i *'::e taa.lon t-rsr", ?qr,^V e>-o . i (t,Ê) = -ir-. - e rf€, s , r ç !'-i .wa1/)o ùunt5,t 6i de i:àori et daa,r l.c yaùo ù/<r altêîp.tce. dèï =-i/ftli , ab!,"| /a,bi.q..t-.ê,a,,ne vaur/e ,rfu;,_,t: e'oÀne ;"{"'"r;,oï J,; l) z ,/o ,'"r,J/. ,r_i.rru"', ./'/",,:: ;;r;;';:;:,Î:,:- 'le'/a17tt tt,t)t--tti"tçy eo:./i;2u, b.r, ) ,1.,,i iu'rr,'."iiÇ'=T;.n*,, r 4-.ud'1o,, r-/::t, ) h12l,,a bvx l, tl t+. ) ) est t ;crarc.thz t c, e*zi),,< : ;a icemJbiVue . l-a cctnhao;]a.ea t r<,rt,,//2."oro.o ,i l^ ,"),)à*|JJl*r,, Com..h. ao' $Z.A Ren,ur-/c.s, t) lr:. dot-."+u(6,,.1c).'An:t e.r,tor ^^ ,r,'ÈÇûzr utrlrurr ) c/..hyco HÀ(.re.tN:i rffff.^|lî 72f Q*,rentlt1.ie" a) - tlaàs o' r. fYk itnihù,es (è ) ='t G ) /:1^ e+ t tÊiot- d. Ha 7.,e "l.An)/ ;ri, ctla2.',2 L2 .7 " /"rt ion._ /teq,a hba ,/" .rr l,nrl.r,Ïr;.!1.,,"j2É4L_ê ? | .* ?o,r" tè6,6,,1,Uu*^, Ceh {v,,o Sa" JrLr / e,i e&el- / L,tv/ut>r, hî's en cl44je, t,@ e.t-t ;;t"ffr",'f" sîr i'al.'"./oJl. .l c/ r,yo znavh,.sm.r l,u/.t e/n),e.r - .f/orV.. el'/{c,trlet y/,.tnJnèa>è=*na,,. i en-; Jo.u't+g.,.r))',i,7"'#.r. a,",, 2) L e rl v4/ee c;'^Jessc's" / -!" r - "::^..rir:li, r,f ,."1</a l,, nre.<iq ihat<: : par. li,ri Lp (ll^)-= HÀ, .^"n1u/. s) tlo _ 9a;H z--(,{1.) on o /a,^tbut_t>o, lfi = u-'o tt ) ),o; z*J = e i"î G ftl: -? (r.L1;) paë,^t>o '.:.'' "' tt.:;"nY'âP,ex4''1'4.7'+e)si-\'-,' .À",s;t'h=t tJ, àun" !:î: ^oppg'*1 llo= e"'z /17d 4lorr"l2u"=cp - Ce.i ,n onrro-) àr//"",. ,a" ar.,za. " /u' lèl Zt {ry"1 e 4-!-L7ou" tb,;f t >o, m,t)r/tqs m)ec,^, co,.,tn,e .{t. ", "hd/qa)) L'e/pe/u 1) L/eVénhuhrr,- ./-g ,l-g a ua 4 u4 Kp- eLeèà-/lr.Vu. cLtron d" cono'zy'utlon,VueHA, Àtu *a ktl.a, , Àru--= k, , ,; ù o7lmhun k--) ..p ost o"/ la/'t/n)abu., /o J,'slnlz,A-., K2.=2r[ b ,r. (.!r{,g P,*"n) , /o,,t Ar.,.'*. E = .-ir1;-.u1ffi-on TutrTue /*acÂbn /e"t7{reL A) Pou"a=o, HÀ=2'714r) , et )u(t,z)/Ls/)àfe-ytêb ett zaJan;Vt,ecomln e /a Jenti/{ c/e aro.à- ),,/,'* A ètefunce- à /)rrlant't 4c'anh'c1ue '4IJ!r'Z (J',^ "'/ " "l f,^nu {r,' n,â* =(zni f .rfr/ t,il t E=e ", Uf p,g H É=folur",ru'a-=,t. -75( $2, Pa2ost/t,'a) ,dc; r&,:tqr,. Eyu= tAu,an 5) Ccnrn. Vcu, /.' .Aohr. *! :! 7et:ren ::,::! | tî:^:',u,"'^"e On.ne .dr4r? _7",..ên lt(t)csl c.' d. DI u o_,n <./t,td/r.t . _ti |o f,d,*,ç d)',u .),aqr. HX.*rnr,. 5.L (et-ci"ttfu.,^), ^^r, ..m ))7),::7;,; :ri;*, à.1:.f-fi!r,)on,d. tA;û.n.at)à ta- k c-Av,v,. taLrtv c).rnt poe f ,Vi.,i2... ,.r.rf zitonto/,mu" .Vûtl"), Va", tbvr d. t''/à. L2, ehJ. ! Gl rc- zl 6) Pwroas;ttv., 5, q. ê ll't tk"l,o H à(4') /&, @ llu(tt"llu.t\A ) -- a(14-ry"; Pr.ur., u(È,2)-(k, ,h tu"17r1 = | k6 k-y) u"ty/f (c/. rcn,,t,y,.,"3) t! lu[t,x1l<s"pltcrt,r.$", .t- /Ktl = QrtaS-n'r. " ,a,br, Hu,t l-'-+ u - V'aa,/ I-lult,t)l2,lz E ,le ../ L.r f,,".* o---.-^o . dle /2,/",n o /r, (t/ett; /reL.t/A4)) t-", i/ ettle Fe Y(An) /e/'4v.'e/uo-f//zo,.' ff,nn |;;':,fi#;,'i';;*"""' , . t4L (f1uq,n'J)"^_ ll ,.. .'4t. ,f - t)ElLru.t tt'.tl'", (Jultru.zr,7/-a)"'rll-/t.y,t,l)a'. , ., , ,_ntAu"-fllz"+ el llèf t.luà = //u"-{/L" r yvG) ilt-c7lr.J aù ttà=J-âx- et //Ll7;x* /e"rJ /.rt , Iqo.-Fta..ctail;tto;ftn,ealV,:b'f, ,c<t. //Lsçl*- *7 /Kll,lf!/t.j/eron caty''tVo. .tt' Yu'';-.7i<al /a pmV z;C )>'oh (,:-.Jc$L)t a Ï-nlerlrilahbn Jt corwi/.tt>e, Sàns, ta/y'teace ex l{'rz.er,rc(;/esq /tl"rifu. /.e'r7u. /e ktottd metnltrc Je ê) e<f n,,l) , /et pa-h2.,y'": ey'"h.afa;rc-t téftr4oL/irre,lt ., ) à //)n A'.,,; (/bè e//es .rtnf ye,t aer cle tbutt ,eçaaç ! (t.->--,; * Ya$/a5 e.t ,'anitalun cntnrct v<oi/,ar-, ) r 0r1/E SoLUTlou ÈtemerurrîlAE Dês o/vàEs " b7 ëm /eur e_ "r, J- " 12u 1,4/e,,, /t.,.h.en,' ts* ) ) g at/t Èn e , /,^!:)"!::'::,r.f./:.:.h::.r""'.*ùl.retk>.t')'oa /e tezcostne-cy'ono et,dco.,,rr'e .12- f 4/ ?rem?/e , n@i! Hoxvel ) . dù.Sri e/ tcrrtbc,t en e)/ect tzrrarne, bi,rr e iel",aflea.e '),2*' - îw)lons d hLun/ /" tos n=-, (Quohu,, ùnc cazv,/""v,/rr,h, est- À^ lurt Lu/iu. /rt &,t Vuo ) bV e rt,, erL a/c,,:t fu obtt o4/e- e/. t r =( eÈ- ),). ( 2È+â- 1 = [Ds r à-\. (à, - -"' ào J), ) -r. o,,Ë;;, et'/r' /)p/c,r '/ bt v' i tt ? : Un. so/u/'a71 ë/{ner,hirc -_.-.-- ,/e cot, .PA./r, ei / a,/ort. Elttx) = arHG-z)H(ttz) '. ect 7i -'c.ù à V/"* (au )oas ) e-,bù .ci^ne "àle /.'rnr'?à" e /tat*.>t l-= l(t,-)etA" I b +^>,o et b_t >zoJ C:l .à^f -a, Q l, ex.?l 2. u t., .Tz . cit e,i at s:ti eL,'r<) V Ele,,'| =|tt(t)H(t"-xi) , /utt\u< f =,lft,riÂ, 1{.>.,.t tr.oJ >/2 . -76pare<en7/e ainsi: >';ye,2,(R") On vâriÊ'.7,,. @îE:)E=cÎ, 7 = <@e'->î) E, f, ' si /o.7o1. li:î: =lduàvt et-E àÈdx 'i" 4 î Pgo,ù -àfu rc,xt\cltJx. JJffitt,ù- tg ft,,)),LJ.L , ,til!,l'ar=à,ra,^* à_=âu-à, ,ltoà o!-)2 - 4à4;tù / =JÏ I^*'2+g àa" = lÏ u u,a)àt<= ftc,o).= ts 1y7"p 8,",r x-i. !, ,3"",\. ?. /te'/uah'on Jetaal.t a,y?^" , txaisvat (tu !L,ilAz-lÈJ, et ,brtÆ!_g/:d/,y'/rf,:. (.znîtncpccu.n>?4,cêlhm"04 rta/em|) func./e cqs (n..t 1an 5')4/aksre. ! èr).,e\-rar,, Tirter.ol luro prr,l/èi /o S..Vltot.lLeÈ dt )niu.zztt.è .)'.rte ")ante' çaf.,hzr,, ",/&nrn tJ;"{ fc7t,, Tte,rztelle,,t - /."le'mcnlrer" Vo.n n=.A1!,,7,17r;7.",/c.t7 "7p )a li n'fe'(resh.rnta nr7o, J.-*)r)l)41, " ï-1" n ) ./ ) O, c Jun:, /w'lr. .haryr:!È, S*r, funr tgnn,.h,oa lh TroriJe,co.À/ ht /eL ]qna)/et 4 btpnr"'(n,i^ei /du). Varhe/h l,.buo,5on :?* d;E-AË =3 s.r Bata ",/"rr,"na t _! È * l Ç t Ë = à ( t > e . 1 . ' .r"e.,.le ttrso.t fuci/emu.| ,Ja,t AîORt ) à Ê Êxé,Vat /e tal,.,l \y.rlZr,:r...i "Ar,ç o1, '-' (3't (6'ilEt'l)+-" =(a];111;'; i lztà)'-"! H(r)e.'lt,.-r'r,nroût,i, d,o" * Étq,= H(t) ï"lllb ftt ëHtt-)pe,rl-.),?e)/rê'rÊÊtj "r.,Jo,,' f'(t1t), "1"a. esî/o t-^"r#,!^i) du a.,nJ^a'rr.J;irÀi,honte,n7[ri". Con.,r.Ziiil n'ett'7as iofe'Valle ea b, on /"er uty!ë yc'e ttett ,/- ,/,,ia,ta ,* il/,", V.,ctnJ E""o', à. ËrG,9) -- HtÈ)u-'L 52y1gt et Ê rr,t) esÈlan" lr>^,ta/.,1r /^ , d. 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(arô) ,!'az'mtl atx ) ro -77C test /a. ta/.t)'<ta ?.,r' nro.li th Ftere, ett lnuzttictah Ptwpz.,sil>'oa, E car s//g ,.e/eal art Jrr,^ é.,o,rrés , ,/'atv q*h e. y'c, @m /<t Vq&1.,*"i' " t ttr) : /e .Izus Wt" lzuac/qh'anç æ t ni,Ç ( àa),'ncrèt e-; oa co.'rt/).j' c .t veo /es l-!!"!" !. ëhr?.tù e.n,9V,. ) cs/ /e .rau1- gpt2e )e 7my. /Aml ) al. /m"" rb.l^y't^h'on I ),"iaùcr /ù/ .o,,tî(1t et,/- /n t%t ,. 7.'<,lr-r1y , ?c.Y ) J.: (-rc/nh'"tra) s",r pret't/,, .."n ihtV "e" afe /!ia korl'f c2-ltlk.i Je',1io,t /a ')Rn,.4 " /arol " /!ea,"Vé e-- Ji^ /oa. /n "f.'hm,ho,.f l' etlozej fuaynr ) t7.:t o.) Qo vzvt lt \ , .t ..1a7ie .."r/tù!a.. fc eà(orc e.. Jrr^ pctn /e"f ,7rerl,t')carfc.te /tor ' ,/a /oae. 7.ta lf'e c,or ,/tà!aa/éj co44ete", p../et .cony',lbt s : /a *uaoS,nral,'an la F/èc/t, du hn/r (n'gt<,lc r) . ce//. r/e t/'//e.û/{ e'hnt Jn'/h,,o co.2!:e/,r,e/boeaLa jb., (Je:/a>a)no,,t-) e./- Soit Go c cll-- co)4/)ë ra,,,la ( . 7o'etl coatet. ! ) , Go aqrlbu / étii/e:,ua ent le raur-gtztV " ô(a) clertz îa )bn. dtelVoçu ('7ot' co.t1e2v.2 te)arëatea/)fl ele , ei /, 4.'letr,naa t ) Pt.u,:: Co1^. /'-r.tg,o/: J<(n;t E e-rr ùr/.7e,,"[,,b "l< 1q,l) e-lAd,r 7.,, rrtttr let a)hJ; /tb)( a.>o e+ lbJ\2 q- , ''/ cufl|l oL zto,t,/>cn 7.,e cër eo,,r/,.1tr,, zr_t J.c,alcù4ge/.re"er r.ne /Tiznrfuznrohbt cle êo , te /par 7.0, e-J,/,J",> ! a Pr^otoîhan; -5.,p, < la -,|(t,z) , -E _ e&nf, f tzt2<ëLel_L>.,,1(,.r!::!!y2.,) ':,::i;,::i::"ï::J'::"':;:î:,.ï;ï:'i:::"*.:': ,f:On si;t JV" 7". ,/rro= o (v.o,>/, e7urc3ç;a_ ./, È , 2 re ) _ô, /., dLr*,7. /' ( c,.tt-a -Jsr= ne /e ,t t.è2,hvafVa.s ), e,/ /o r!,rq iau ,1. /a:_, cet Jeni -e2n<<ceteti /. coaV/.'rr."/osn! ,le F! , Gl g7, erc,,a,. t) Le-'Qrol/cn e Je Car;!,_të1ér^1/, 1ta u5.'clet t"" /n:::: Cotle;i1v à Je^J.- "t'a/a.." clonn.2-'àu'tunyos' t=- bZW!ë /ox7"'l/ cl,en/,..))- /on7.,e rL;t)a,te-r..rr;.'/.c 7të/"i ser dJîtéu .ei/et 7',ron),,irr,r^rrçr).i,)'.'i) e',bJe? es/,/" Je2É1,ey.,7A... ,r,nron,,uc * Jë"i,.7, cle let iaf,éaar a/rnef aùe elute ,reit/e ra/c,âL,t 1/"'_, /ro; Jdni,tî! ,r3:.r,1""T,1,/,! 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Z) t" ,^t "=t i*t".lb";" ') d* ./'\ Rap.lonc^îu" a,.) ="y-:',2e,]f inàtet 4-'"t^, =+[ co^^"Ët rc)=srÉt!=t+ ,,/,!:i!, iràt =lillr*t , J'ot (tr\)to,)k,k-ptt?q'l) a,p$ , 1"t' ,et Ê>a/'z'ent-' (àrkr*wl b - i}'(f"h,n4--i6"t"+è-)+ a,lz-È)) u t È t l ) = a r i U o l z r t l s v o l r . - r ),l1 -'forrrrol J*-r'rri lo ,o.J.t Y.,6iauf"r" / ">tb':'oll' It (hx) tte at4r^J qut "Lc w'leurt ale d"<l'u, s.'" On fttT no'e '' t " / yi/a q''e /a /' m ''eV n lJe */^.rt..' e n.e sè /'ùt tbrmahisn : /0të/n4, % fz-b,xtb1 . , m'las"..t-, ) tcî ; /iel,utlbnzLt ot/.t ul";z',oArl;ai;e;pyZ, d. la /u,i;à,- ) . a" ,-g:: 4 t=-:W:"f po". torÈ'netl|"' * eett '/n , On zrcl,nelf'a' lci /e reiaJlaF tznTortanl 7''e' (L'2ô.".dLrrui"") /a Jalaàba éll>ne't'o'>t) .rron@2otT 'Ltîn"/ù'sica /tcuten /p4;'" /a"'/'1 7ue ci-iesr-'s esl e.r /a'y' u'1t $o[b 2*r /'rnPù' Kg est J ea.cttauTVlut coar.nhvi , st'r /" lo'p d"' tîae pour n ?n t'o/c'haa) m onÏ'p' ('et ce/l' /u yalntde Cellz Pt>nné/{ d" vpt*t ". 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