Analysis of Singular BVPs in ODEs part 2
Transkript
Analysis of Singular BVPs in ODEs part 2
T,(.s \ rI\ *p(I) = -Ä 4 I arc+>[ h < t') s. t (s)dr , \?qr Ili\.ngnd,\ *' ( rÄ"','\ t\$'1,1 I a}. . ( \ 'l t* iÄ.'.\-\,t+(> \. \ €os \: \ , x:-4. \r:I +a,*^-\.)[ ) X+1, ^ta \tü \ [tq[ J,L \a-t\ , N* L [.E \"b Nct) \=(., I>\" + G , q [1, (t>[ s \ bx[ t\ tt\ . ^*(S-lnl\, t \a^u[ , \e r. ( t ^q T.t.e \--. t.r <,t t lPcr)l larcof € \tsil i^ .X \.t :: t arcr>l eI\ttU€-tl \ >{ :: lrgct>l trtt\ * Irlrr lac+r\ ( i_ Irt I lt- tx\ , \>I 3t. \>{ ) =) Connstde.r \ tr (l) = 6-+13 = AqJ f \ st *t'' \crr)at I \ec\o,r'l o \ 6<0 ov X=o. \t.ct>\ TU,e,^ 4 ro\tir\ st drs \\ \\E I :t l (x" \ <o \"oj €t \ \ t \{ r{ ,t",ll el \o t I J I i I '= \j l\, ( 3 I s5, ! .- ) ft( : ov R.') t$^ (: ($^ (a - ?,.s -\ (,t- Q*) . % (,r, t\ -':) A ) ) ) s e [o,r-\ !.s )r \ r. 4 (rt\ s t" A -\ + G' { Io S -tr t6 -{ Is SF ds r o S fI -It5-t Io S c I i"rce. (- e" ü d..s l\(tls = Cn^r\1 -\+1 )o 13 s aslr'\- {\n= rg =ßl - B^s äs r' lo . -z\*t>o \ S,lrtce, o= :S) 4_ P t (t \,* c*,1I s 2_ a ä\ tt\1u trrr! t = ctn^ste e Cor.rt . --) a(S s t f!(r ts. r tt'\ SH1c.)as ^ \.S'+iR, G<o t -t '.r(\) = t'. + f \;:3rs)crs; tsE^' Cc.,sc. {. At- { \ nsCt) = -t t'e + tt \ irgtlds r o -J S gCts)d,s. ro0 o \.\ \eQ. _ ), f, tc ! o,ad f(: &b\ /.\. .*."q 4 )t =\ 1 &r- tcs L'ro oo S.. ) $r o IeI tol.l \(t)= f {&cr^, tr^ \Ghrhc. , rtlr:l \o \ 3'iCtt)d,s beGoylret \4 utg=t \ s-: g(+r)d,r o Ctrv.re1r^en\: trCt:\ s con\ fll {r loeqrvy.c s ,t I k\o 3r3ct ) *.\ €) g c."^rL lu(g e Cto.r,J e) ar(d eo U lttlf . . Tü.8 t .(.q S, (qss t\ i=:Cr.)dr \ {^(q (*(o) = c> auqt. ^s gClo,rt-J 4 lre: t\ -tn'\ Ct.)ls e(")"0. s' , o uö re(-) at*) \ acv)\ = t lcr.)+\t\)= i. c,nas\ t ttl l \dcq\ s ctansb \\+t\. t\ äG'C\o,t11 tr\s\rtlg5 ö ' +tC+) {1,s ,\ o(\) = f.+ ,(:: tr )L g(tr) ds = t1.*ün o I € C fo.rl ,"^rttt^ 'uotv) t tro f, alqtt) = tc. = .?a! nrq(Ö e cEo,d Alatq= crQr ) t^r)' r- et ,*-l €t :> a(r) = €"*(D = 0 o t!{6 ,t t(0= Eclea /r I C-h r t\ 1l\ s t o I-(\) € = ( e(.I ßa .. 4"-" I \r 'l/ =) 1(+) " .1 cre + = i i-qc\r)clsrfluF J co.stst 4 'l'lttols O rwrove laoX'S I i3e- clinevrStsvr ee\ R" r. '\tnE* 1 cQ = ' .r (g*"vrL Grrii. \) CI')e. €r'3€rr'sfece' tr 4 äl(q{ cv.e*a | *\o ;"qtts)ds, eo \ €t ... eiXerave*ovs oss' r'st\{ 4 t*\\ e( *CS. hild.o 3nt (r.s)ds , be3( ö=!. C CÖ. t1.44 f d(r)= Soe *,u1 +\cs , BoUö=f lftt 4 >(t) = t' + \ c-, *(ö=6eq # )o S , tu,)ds} =) J f Bol(ö= Bot =F ) 6=Z c*er ust + t uv.tkuonrs a t)". l(l>.-)CF V re 3,Ce) 1 I ote \t \rrchtQ'n't 4., \= A{t =) BoR"t 1--rVrv lnxv| trr Ieb Yn sr .+ bxf Xr *,.ud o{s R"r v -ha o{ef{r(3eR ) =[3 'l I f\, BoR € ,d*ror^Stu3utorn G"E)*F r f, =äcsF\i. Q3'^8 t ö(t)= t-: t"+ f \rr Bct)cß ,1 taufl .-!- S'.)1 os(ü= tJ. = t^ Cu =) 0qt9 E Clo,il t -3ct)dl r.i. \ .=i--3 flutf, ass(r) = t. = \H 3tt)cS \t , \.\S=! ) t=L =)\.hnrna- u rup(r) e C fo,rl auCr) -) e CIo,rJ , nY(o) s'o arCt') = 1(t) = Bnzcr; 8'^9 t 'l :C -f t'. + t \t'a(c)dS => f. = ^L + tt{ 1 sn tcs)ds ec\qrJ r- ) e( -^) a(Ö -e.O V cetQ- =) \.= F ).e\ \e ,t"*t =) ?CS. ro,,, Stu3re\av äc"{y t. q\. t f\sn\,r)ds. t
Podobné dokumenty
138套别墅 ?@ABC
"Ý:d;¡¢"Â5 , Öb+<
=>f6~78?i@·!
Â5" 29ÆÇ@AABNlCDî
¨w©Ii3tÈ?st" \G§E¦
ÓjlF£IGá! Â5LH".I~JK§ò
ûÆ¿DN293:©IL#EF.z3#
@MJKL"c29ÆÇÓ¯#c3:iÓ'N
.O'! _`"Â5¸Pc , Öb+<=>
f6~78?i@·!