Analisis Funcional Pasos

September 22, 2022 | Author: Anonymous | Category: N/A
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JOJBGXGX DQOHG@OJB UJX@X Gotr`muhhgøo Ab jo joêb êbgs gsgs gs du duoh ohg` g`oj ojbb (J (JD) D) as uoj na narr rrji jiga gaot otj j ma bj ta tarj rjpg pgj j h` h`lo logt gtgv gv``h`omuhtujb qua b`s psghøb`l`s utgbgzjo, ralubjriaota, ao ab êraj ma avjbujhgøo hbéogh hbé oghj3 j3 h`o h`osgs sgsta ta ao joj jojbgz bgzjr jr bjs h`o h`omuh muhtjs tjs qua h`o h`ost stgtu gtuyao yao ab oöh oöhba` ba` mab p r` r` kb kb ai ai j m ab ab p jh jh g ao ao ta ta ( qu qu a b ` l ao ao ar ar j ` b ` i jo jo tg tg a oa oa ) 3 j sé sé h ` i` i` b `s `s jotahamaotas y sus h`osahuaotas, fuot` jb h`otaxt` ao qua sa prasaotj mghn` pr`kbaij. Bj jpjrghgøo ma uo pr`kbaij psgh`bølgh` psgh`bølgh` p`oa ma ijogdgast` ijogdgast` qua bj pars`o pars`oj6 j6 Ab JD prataoma ashbjrahar huêbas s`o bjs sahuaohgjs ao bjs qua sa mj uoj h`o h`omuh muhtj tj pr` pr`kba kbaiêt iêtghj ghj y quç pr` pr`has has`s `s ma jpr jpraom aomgzj gzjfa fa suk sukyjh yjhao ao j bj igsij (bjs bayas ma jpraomgzjfa gipbghjmjs). Ab JD saréj mgdaraota pjrj hjmj sgtujhgøo ao h`ohrat`, gohbus` ao jquabb`s hjs`s qua rasp`omao j uoj igsij atgquatj, p`r afaipb`, josgamjm ` maprasgøo.

Narrjigaotj psgh`bølghj

  Gma Gmaotg otgdgh dghjr jr b`s aba abaiao iaot`s t`s mab huj hujmr` mr` sah sahuao uaohgj hgjbb got gotalr alrjtg jtgv` v` A-@ A-@-[-H -[-H (A6 astéiub` jotahamaota3 @6 `rljogsi`6 [6 raspuastj y H6 h`osahuaohgjs), h`o ab dgo ma ramjhtjr uoj d`riubjhgøo hbéoghj pjrj su aipba` ao ab joêbgsgs duohg`ojb ma h`omuhtj.

 

°J qugço sa ba `hurrgø0 H`i` tjb, o` njy uo jut`r qua njyj rahbjijm` bj pjtarogmjm mab JD3 sgo aikjrl`, p`mai`s mahgr qua astj narrjigaotj psgh`bølghj tgaoa sus prgohgpg`s apgstai`bølgh`s ao ab h`omuhtgsi` rjmghjb, qua as pjrta mab hjip` dgb`sødgh` mab joêbgsgs axpargiaotjb mab h`ip`rtjigaot`, p`stubjm` p`r K. D. Xcgooar, qugao h`osgmarø y madaomgø qua bj h`omuhtj nuijoj o` astjkj hjusjmj öoghjiaota p`r bj js`hgjhgøo astéiub`-raspuastj, sgo` qua bj rjéz ma bj h`omuhtj sa aohuaotrj ao ab adaht` ` bjs h`osahuaohgjs qua b`s pr`pg`s jht`s tgaoao s`kra o`s`tr`s igsi`s

Ab JD p`oa çodjsgs s`kra t`m` ao bjs h`otgolaohgjs qua `hurrao ao bj prgiarj sasgøo, j pjrtgr mab pr`pg` h`otaxt` tarjpçutgh`3 as mahgr, ao bj aqugvjbaohgj duohg`ojb aotra jik`s jikgaotas, ao ab rad`rzjigaot` ojturjb y ao ab i`bmajigaot`.

 

H`ip`rtjigaot`

°Ma quç vj0 Bj gm gmaj aj ma mabb JD tr trjt jtj j ma go gomj mjlj ljrr pj pjrj rj uo uoj j ma mata tari rigo gojm jmj j h` h`om omuh uhtj tj,, y bj bjs s rabjhg`oas qua tgaoa h`o hgartjs vjrgjkbas h`otaxtujbas qua bj godbuyao. Mghn` jsé, pjrahgarj sar sgipba °o`0, par` pariétaia jkrgr iês ab jkjogh`. H`iöoiaota, ao tarjpgj, b`s psghøb`l`s hbéogh`s abalgi`s uoj ‒`rgaotjhgøo’ s`kra bj qua kjsji` kjsji`s s ouastr ouastrj j gotar gotarvaohg vaohgøo, øo, (ta`ré (ta`réj, j, ijrh`s h`ohaptujbas, h`ohaptujbas, apgstai`b`léj, prêhtghjs, tçhoghjs, ath.)3 ijrhjo ab hjigo` j salugr p`r ab tarjpautj, pjrj jp`yjr jb pjhgaota ao ab trjtjigaot` ma su pr`kbaij qua, laoarjbiaota, sa astjkbahao ao tçrigo`s ma jusaohgj ` prasaohgj3 y sarê ao djv`r ma bj abgigojhgøo ` jpjrghgøo ma mghn`s ‒pr`kbaijs’. Bj `rgaotjhgøo h`logtgv`-h`omuhtujb sa radgara j b`s trjtjigaot`s psgh`bølgh`s iês m`huiaotjm`s y rapbghjm`s ao bjs öbtgijs mçhjmjs, iuhn` ma ast` sa maka j b`s iahjogsi`s utgbgzjm`s pjrj bj `ktaohgøo y ijogpubjhgøo ma bj god`rijhgøo mab pjhgaota, ao igrjs ma mgsaújrba uo trjtjigaot` j bj iamgmj.

 Jo êb gs gs du oh g` oj b

°Høi` sa d`riubj0

 

 Jqué ué ao aotr trji ji `s ao ab ta tarr rrao ao ` ma b` pr êh êhtg tgh` h`,, pu puas as ab tr trjk jkjf jf` ` ma b ps gh ghøb øb`l `l ` ao bj  Jq abjk`rjhgøo mab hujmr` sahuaohgjb raqugara ma t`mjs sus mastrazjs jojbétghjs. ]a axpbgh` p`r quç. Bj prua pruakj kj iêx iêxgij gij ma qua ast astji` ji`s s got gotalr alrjom jom` ` h`r h`rrah rahtji tjiaot aota a ta` ta`réj réj h`o prêhtghj sa bbjij d`riubjhgøo hbéoghj3  hbéoghj3   astj gostjohgj astê duomjiaotjmj ao ab ijrh` taørgh` ma ouastrj `rgaotjhgøo y b`s h`o`hgigaot`s jharhj mab pr`kbaij mab hbgaota, asta hruha maka sar b` iês hbjr` y h`olruaota p`sgkba. Ujrj tjb adaht` utgbgzji`s uo h`ofuot` ma pjs`s qua o`s parigtjo juiaotjr, hbjsgdghjr  y `rmaojr bj god`rijhgøo mab hbgaota.

D`riubjhgøo hbéoghj

°Zuç as uo hujmr` sahuaohgjb gotalrjtgv`0

Ab hujmr` sahuaohgjb gotalrjtgv`, iaf`r h`o`hgm` h`i` A-@-[-H (A6 astéiub` jotahamaota3 @6 `rljogsi`6 [6 raspuastj y H6 h`osahuaohgjs) gomghj bj d`rij ao bj qua grês rjstrajom` bj god`rijhgøo. Fuot` j hjmj sglbj aoh`otrjrês uo oöiar`6 [ ( : )   g o m g h j b j h ` o m u h t j m a g o t a r ç s y s a rrê ê b ` p r g i ar ` q u a gomjljr gom jljrai` ai`s. s.

U`star U`s targ`ri g`riaot aota, a,

bjs

sgtujh sgt ujhg`o g`oas as

astgiu ast giub`-j b`-jota otahama hamaota otas6 s6 A

(;)3   as mahgr, quç `hurra jotas y quç pr`pghgj bj jpjrghgøo ma [3 maspuçs (;)3 praluotjrai`s p`r bjs h`osahuaohgjs H (8) y, (8)  y, p`r öbtgi`, p`r bjs vjrgjkbas mab `rljogsi` @ (=).

 

A (;)

@ (=)

[ (:)

Xgtujhg`oas astgiub`-jotahamaotas

@rljogsi` Kg`bølgh`

H`omuhtj ma gotarçs

H`osahuaohgj

(H`omghg`oas désgh`-s`hgjbas qua hujom` sa aohuaotrjo prasaotas pr`kjkgbgzjo bj `hurraohgj ma [)

Aodariamjmas qua taoljo qua var h`o [6 pas`, astjturj, jpjrgaohgj désghj (pubhr`, masjbgújm`, ath.), h`osui` ma iamghjiaot`s ` sustjohgjs tøxghjs. Njkgbgmjmas6 ]jot` bjs qua p`saa h`i` ma bjs qua hjraha. Tjb`ras hubturjbas6 Tjb`ras, hraaohgjs jrrjgljmjs, pr`muht` ma b`s mgdaraotas lrup`s s`hgjbas ao qua pjrtghgpj ab gomgvgmu`.

H. G. ]jb h`i` bj radgara ab usujrg` ` bj atgquata ab tarjpautj.

(Avaot`s qua jdahtjo bj pr`k `hurraohgj)

I`t`r6 B` qua njha y as `ksarvjkba.

Goiamgjtjs6 (H`otgolaotas)

H`logtgv`6 Uaosjigaot`s ` saotgigaot`s qua jh`ipjújo j bj h`omuhtj ma gotarçs.

Gomgvgmujbas go (H`loghg`oas y Axtarojs6 (Ijtargjbas ` s` Ma `tr`s J bjrl` pbjz`6 (O` h`otgolaota Gomgvgmujbas. Ma `tr`s.

Ngst`rgj Ujsjmj6  Jh`otahgigaot`s pjsjm`s vjb`rjm`s vjb`rjm`s h`i` rabavjotas, rabjhg`ojm`s h`o bj h`omuhtj ma gotarçs. H`otaip`rêoaj6 Zuç `hurrgø qua ba ngz` s`bghgtjr ab sarvghg`. Axtarojs6 Møoma, huêom`, h`o qugço, j quç n`rj. ]aiêtghj gotarojs6 H`loghg`oas6 (paosjigaot`s, hraaohgjs, axpahtjtgvjs qua jotahamao j [.)

TG (:)

Dgsg`bølgh`s6 Hjikg`s dgsg`bølgh`s sgtujhg`ojbas.

TG (8)

TM

L`ozêbaz, C. (;5:).

God`ria ma hjs` hbéogh`

Jn`rj sé, ramjhtjom` ab god`ria

 

Bj vjrgamjm ma `rgaotjhg`oas y sukhjip`s axgstaotas ao psgh`b`léj hbéoghj mgdghubtj uo us` jipbg` ma mgrahtrghas s`kra GHHs, maijsgjm` rastrghtgvjs ` pjrtghubjras. H`osgmçrasa b` mgdaraota qua puama sar uo astumg` ma hjs` ao oaur`psgh`b`léj hbéoghj, ma `tr` ma tarjpgj h`logtgvj ` ma joêbgsgs ma h`omuhtj jpbb gh jp gh jm` jm`.. U `r `r ab abbb `, `, b js js mg mgra rah h trg trgh h as as ` pj pjut utjs js j g ot ot alr alrjr jr ao ab g od od `ri `ria, a, h `o `o sg sg ma ma rj rj mj mj s

p `r `r

T g ru ru çs çs -@ -@ r ta ta lj lj

( ;5 ;5 5> 5> ), ),

m ak ak ao ao

sa r

j mj mj pt pt jk jk ba ba s

j

bj

aspahgjbgmjm hbgoghj ma bj qua pr`vaolj.

 ]étt ub  ]é ub` ` O` maka taoar iês ma :1 ` ;5 pjbjkrjs. Maka i`strjr hbjrjiaota bj h`omuhtj pr`kbaij y ab tgp` ma gotarvaohgøo.

 [asuiao  [asu iao y pjbjk p jbjkrjs rjs hbjva h bjva Maka i`strjr bjs prgohgpjbas hjrjhtaréstghjs mab hjs`. U`r afaipb`6 mashrgkgr ab oöiar`, amjm y lçoar` ma b`s pjhgaotas, `kfatgv` ma bj gotarvaohgøo, tgp` ma trjtjigaot`, avjbujhgøo a gostruiaot`s usjm`s, mgsaú` y joêbgs joêbgsgs gs ma mjt`s, rasubtjm`s rasubtjm`s y murjh murjhgøo gøo mab salugi salugigaot`. gaot`. Ab rasu ra suia iao o o` ma maka ka ta taoa oarr iê iês s ma ;1 ;15 5 pj pjbjk bjkrjs rjs.. W pj pjrj rj dj djhg hgbgt bgtjr jr bj kösquamj kösqua mj ao bjs kjsas ma mjt`s jpjraharê, jpjraharê, aotra bjs pjbjkr pjbjkrjs js hbjva, ab tçrigo` axpargiaot` ma hjs` öogh`.

 Gotr  Go tr`mu `muhh hhgø gøo o Xaújb újbj j ab ` b` b`s s `k `kfa fatg tgv` v`s s la laoa oarj rjba bas s ma mabb GH GHHs Hs,, ax axp` p`og ogao aom` m` j ma matj tjbb bba a bj Xa  fust  fu stgd gd gh ghjh jhgø gø o ma mg hn hn`s `s `k `kfa fatg tgv` v`s. s. ]` ]`m` m` GH GHH H ma maka ka jp jpjr jrah ah ar h` h`ot ot ax axtu tujb jb gz jm jm` ` ao bgtarjturj aipérghj rabavjota.

 Gmaotgdgh jhgøo mab pjh gaota y i`tgv` i`tg v` ma h`osubtj h`os ubtj ` radaraohgj rad araohgj

Hujom` s`o vjrg`s b`s pjrtghgpjotas puamao h`ipjrtgr uo djht`r h`iöo. Xa maka saújbjr amjm, lçoar` y hujbqu hujbqugar gar `trj hjrjhtaréstgh hjrjhtaréstghj j pars`oj pars`ojbb rabavj rabavjota ota pjrj bj vjbgmaz gotaroj y axtaroj ma bj i`mjbg i`mjbgmjm mjm usjmj ao bj avjbu avjbujhgøo jhgøo y ab trjtjigaot`. Uuama sar rabavjota gohbugr tjikgço jotahamaotas jhjmçigh`s,

 

pr`dasgøo, ogvab amuhjtgv` y sgtujhgøo djigbgjr, jsé h`i` mgjloøstgh`s jhtujbas y pravg`s. Jmaiês, makao aspahgdghjrsa kravaiaota ab i`tgv` ma h`osubtj, ` bj duaota ma radaraohgj, ao su hjs` (pjhgaota, djigbgj, uogmjm ma sjbum iaotjb, `tr` hbéogh`).

 Astrjtalg  Astr jtalgjs js ma avjbuj av jbujhgøo hgøo B`s GHHs h`omuhtujbas njo usjm` ashjbjs astjomjrgzjmjs h`i` iamgmj ma adaht ada htgvg gvgmjm mjm pra y p`s p`st, t, ` h`i h`i` ` éom éomgha ghas s gom gomgrah graht`s t`s ma bj lao laoarj arjbgz bgzjhg jhgøo øo ma rasubtjm`s.

 D`riub jhgø jhgøo o hbéoghj hbéo ghj mab hjs` h js` As ab ra rasu suia iao o ma bj god` god`ri rijh jhgø gøo o ra raba bavj vjot ota a qua ma mash shrg rgka ka y ax axpb pbgh ghj j b` b`s s pr`kbaijs ma h`omuhtj ma uo matarigojm` pjhgaota. Mghnjs d`riubjhg`oas gipbghjo uoj jpr`xgijhgøo i`bahubjr j b`s pr`kbaijs ma h`omuhtj ma b`s pjh pj h gao gaott as as , y

puam pu amao ao g oh oh bug bugr, r,

h ujo ujom` m`

s aj aj

oah oa h as as jrg jrg`, `,

h `i `i p`o p`oao aott as as

mabb ma

pr`kba pr` kbaij, ij, djh djht`r t`ras as ngs ngstør tørgh` gh`s, s, pr` pr`has has`s `s kg` kg`bøl bølgh` gh`s s y djh djht`r t`ras as jik jikgaot gaotjba jbas s js`h js `hgj gjm` m`s. s. Bj d` d`ri riub ubjh jhgø gøo o ma mabb hj hjs` s` hb hbéo éogh gh` ` as ab pr prgoh gohgp gpjb jb ra rasu subt btjm jm` ` mab pr`has` ma avjbujhgøo, y makaréj h`osgstgr ao uoj mashrgphgøo h`ohgsj qua aspah as pahgd gdgq gqua ua bj h` h`om omuh uhtj tj ` hb hbjs jsa a ma h` h`omu omuht htjs js mg mgsd sduo uohg hg`o `ojb jbas as qu qua a sa sarê rêo o `kfat`s ma bj gotarvaohgøo.

 ]rjtj  ]r jtjiga igaot` ot`s s Ao asta jpjrt jpjrtjm` jm` maka matjbbj matjbbjrsa rsa ab tgp` ma trjtj trjtjigaot` igaot`,, h`osg h`osgmarjm` marjm` iês jpr`pgjm` jb hjs` mashrgt`, y tjikgço bj fustgdghjhgøo pjrj su abahhgøo. X`o tjikgço rabavjotas j asta jpjrtjm` djht`ras bgljm`s jb tarjpautj y bj dgmabgmjm ` gotalrgmjm mab trjtjigaot`.



Abahhgøo mab trjtjigaot`6 Qoj trjtjigaot`6  Qoj huastgøo hbjva as bj h`oaxgøo mab trjtjigaot` h`o bj avjbujhgøo pravgj.

 



Jpbghjhgøo mab trjtjigaot`6 Mashrgkgr trjtjigaot`6 Mashrgkgr ab oöiar`, parg`mghgmjm, murjhgøo y h`otaogm` ma bjs sasg`oas hbéoghjs3 asta öbtgi` abaiaot`, pradargkbaiaota, ma d`rij tjkubjr ` jkravgjmj. Ujrj ljrjotgzjr qua sa axp`oao hbjrjiaota bjs tçhoghjs tarjpçutghjs ` jbluojs pjrtghubjrgmjmas ma bjs sasg`oas hbéoghjs3 p`mréjo jújmgrsa ao asta jpjrtjm` kravas trjoshrgphg`oas mab mgêb`l` hbéogh` ` mashrgphg`oas ma hjmj sasgøo.

 Mgsh  Mg shus usgø gøo o Xa radgara jb jpjrtjm` dgojb mab god`ria3 p`mréj gohbugr uoj krava avjbujhgøo ma b`s b` s ra rasu subt btjm jm`s `s ao ab h` h`ot otax axt` t` ma bj d` d`ri riub ubjh jhgø gøo o hb hbéo éogh ghj j a go gota tarv rvao aohg hgøo øo mgsaújmj.

 Kgkbgbg`lr  Kgk `lrjdé jdéj j Bgstjm` ma ijtargjbas h`osubtjm`s pjrj bj abjk`rjhgøo ma tu god`ria6 sa utgbgzj ab d`rijt` JUJ.

Ab JD as uoj narrjigaotj maotr` ma bj hbéoghj qua parigta `ptgigzjr ab tgaip` ma t rjt rjtji jigg aot aot` ` mab mab pj pjh h gao gaott a, a, jh`r jh`rtt j b j g ot ot arv arvao aoh h gøo gøo y as asqu quai aijt jtgg zj zj b j god`rijhgøo, ma tjb ijoarj qua su ijoaf` rasubtj sar saohgbb` njstj pjrj ab pjhgaota, qugao hukra ab `kfatgv` ma njharsa hgaotédgh` ma su pr`pgj vgmj, huipbgaom` jsé h`o ab `kfatgv` ma bj avjbujhgøo h`omuhtujb.

 Jhtgvgm  Jhtg vgmjm. jm. Qo hjs` ma ius ius`d`k `d`kgj gj Ab jo joêb êbgs gsgs gs du duoh ohg` g`oj ojbb ma bj h` h`om omuh uhtj tj ao bj ng ngst st`r `rgj gj hb hbéo éogh ghj j as uo iahjogsi` ma mgsahhgøo qua sa utgbgzj pjrj axtrjar, ma bj aotravgstj

 

avjbuj bujhgø hgøo, o, b`s mjt mjt`s `s oah oahasj asjrg` rg`s s pjr pjrj j avg avgmaoh maohgjr gjr bj sgt sgtujh ujhgøo gøo-ma avj pr`kbaij.

Baji`s ab sglugaota hjs`6 sa prasaotj uoj iufar ao ab h`osubt`rg`, ma =< jú`s, jij ma hjsj, vgva søb` h`o su asp`s` y tgaoa tras ngf`s yj hjsjm`s3 bbalj j h`osubtj fuot` h`o su asp`s`, qugao iaohg`oj qua njha yj sgata jú`s su asp`sj aipazø h`o uo igam` gotaos` j bjs rjtjs, tjb igam` pjrahéj jbl` sgo rabavjohgj pjrj b`s m`s3 par` ma uo jú` pjrj jhê aipazø j pra`hupjrsa p`r abbj, puas asa igam` sa gkj jhrahaotjom`.. jhrahaotjom`

[adgara qua su asp`sj aipazø j mafjr bj maspaosj ` h`sjs qua ralubjriaota sa lujrmjo ao bj jbjhaoj jduarj ma abbj, p`r pab kuzøo p`rqua paosjkj qua sjbmréjo rjt`oas ma jné, tjikgço qua ab s`b` nahn` ma var uoj sgipba d`t`lrjdéj ma uo rjtøo ba pr`muhéj iuhnj josgamjm6 sum`r ao bjs ijo`s y su h`rjzøo pjbpgtj hjmj vaz iês duarta. Bj asp`sj radgara qua su igam` j b`s rjt`oas surlgø ao bj godjohgj, godjoh gj, hujom`, ao uoj `hjsgøo, jb quarar p`oarsa uojs k`tjs pjrj bj bbuvgj sjbgø uoj rjtj, ma uoj ma çstjs, masma asa i`iaot` abbj ijotuv` ao su iaota qua bjs rjtjs p`méjo ash`omarsa ao hujbqugar  buljr. H`iaozjr 

 Jut  Jut`avj `avjbuj bujhgøo hgøo.. Ab joê joêbgsgs bgsgs duo duohg`o hg`ojb jb p`r pjrtas

 

Bj d`riubjhgøo hbéoghj h`otgaoa b`s abaiaot`s asaohgjbas ma uo hjs` hbéogh`, y o`s sgr sgrva va pjr pjrj j sgo sgotat tatgzj gzjrr bj god god`ri `rijhg jhgøo øo qua `kt `ktaoai aoai`s `s ao bj avj avjbuj bujhgø hgøo o h`omuhtujb. H`iaozjr 

 

Duaotas ma god`rijhgøo

Kêsghjs K`rojs, ^. (;55;). Bjs ouavjs taho`b`léjs ao bj tarjpgj h`logtgv`-h`omuhtujb6 Qoj Qo j

rav ra v gs gs gøo gøo..

A o [a [av v gs gs tj tj

g ot ot aro arojh jhgg `oj `ojbb

ma U sg sg h`b h`b`l `léé j Hb Hbéé og og hj hj

y

ma b j

Xjbum, 188-1=:. Xjbum,  188-1=:.

Dagxjs, I. (:778).  Jp  Jpr` r`xg xg ij ijhg hg`o `oas as j bj ps psgh gh`t `t ar arjp jp gj gj.. Qo j go gotr tr`m `muh uhhg hg øo j b` b`s s t r j t ji g a o t `s

p s g h `b ø lg h ` s .

K j r h a b` o j6

U jg m øs .

Oazu, J. (;55=). D`riubjhgøo ma hjs`s y mgsaú` ma trjtjigaot`s h`logtgv`h`omuhtujbas.   I ç x g h ` 6 h`omuhtujbas.

Ijoujb

I` m ar o `

X.J

ma

H. T.

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