Bibliographie V.I. ARnold. Ordinary Differential equations. MIT Press
Transcription
Bibliographie V.I. ARnold. Ordinary Differential equations. MIT Press
AF
T
DR
!"#$ %&' ()*++, -./0
12 34567 8 29::56;< = 8 8>336 ?"@A $@" # #B C#" D " E#C @$
B# # !"#$ F&G%, +*HIJK *KLMLIJ, -..N
12 3456 = O8 P6:Q R#@E" @S#$ B# # !"#$ T UCA !"#$ F&G%, -..V
W X93 ()IYZ[\*+ ]^_ ZL\ LM*+ `I^) Z*+ ab^]MLIJ+ ]^_ Ka)Lca*+ `])ML*ZZ*+ K^ `)*\L*) I)K)*
d HI*eHL*JM+ )a*Z+f MgaI)[\*+ Kh]``)I_L\ ]MLIJf ]``ZLH]MLIJ d Zhab^]MLIJ K* M)]J+`I)M i $
$Aj !"$ kl A# ?#@ m"En", 0, `` -VNop00, -./q
r X9s tIM*+ K* HI^)+ uvFF 'G(, pqqq
wr X697 x W9yz{6 = O8 P6:Q ?"@A m# "# #B | T} " ~#C @$
Ti UCA l!"#$ tI)MggIZZ]JK, -.V.
W9:9 R#"$ A A" n *)\]JJ, -.//
W5; = 2936 i S@A |#"A# # " ASA$ F`)LJ
*) *)Z]
,
MgL)K *KLMLIJ, -..p
r W;: = O6;3 S# #B # !"#$ %H)]LZ ,
t* I), -.NN
8 W>9: = ;{6: S#$ #B S@A ~S$A$, cIZ^ \* && &JM*)+HL*JH*, LZ*,
-.p
2 W>Q6; = O 2;: i $ "@n!" $ n!"#$ n $ IZZ*HMLIJ
\]Mga\]MLb^*+ ]``ZLb^a*+ `I^) Z] \]M)L+*%]++IJ,(])L+, p[\* *KLMLIJ, -..p aKLMLIJ )acL+a*
*M ]^
\*JMa*
>;< GJ LJM)IK^HMLIJ MI HIJ+*)c]MLIJ Z]+ 'g*I) ]JK ]``ZLH]MLIJ+ MI \^ZML`g]+* I
vLJ KgIc*J JLc*)+LM I '*HgJIZI
, pqq0 *HM^)* JIM*+ ]c]LZ]YZ* ]M
2 r93; GJ LJM)IK^HMLIJ MI ]``ZL*K `])ML]Z KL *)*JML]Z *b^]MLIJ+ *HM^)* JIM*+,
pqq0 u*`])M\*JM I %]Mg*\]MLH+ ]JK FM]MLMLH+, (I)MZ]JK FM]M* JLc*)+LM
r>9 ¡n$# "# "@n!" $ n!"#$ "¢ nDn$ E $ %]++IJ, (])L+, -..£
OW r93 ~ l!"#$ )]K^]M* +M^KL*+ LJ %]Mg*\]MLH+ G%F (^YZLH]
MLIJ+, MgL)K `)LJMLJ
pqqp *KLMLIJ, -../
P8 ¤99{6;9 ~ l!"#$ ¥IgJ LZ*+ ]JK FIJ+, -.£
L
DR
AF
T
L
¤9;>63 I^)+ K* \aH]JLb^* K*+ \LZL*^_ HIJMLJ^+ vHIZ* F^`a)L*^) K* %aH]\Lb^* K*
%])+*LZ *, pqqp ]c]LZ]YZ* ]M gMM`
*+\pL\ M\)+)
]) \\HgM\Z
P ¤6y9; R#"$ nA!" $ "¢ R#"$ %]++IJ, (])L+, -./0
¤36 &JM)IK^HMLIJ ]^_ vu( Kha cIZ ^ MLIJ, pqq0opqq£ tIM*+ K* HI^)+ K* uvG
Kh]J]Z +* J^\*)Lb^*, JLc*)+LM* (])L+ = uvG K* \]Mg*\]MLb^*+, JLc*)+LM* (])L+ /,
gMM`
K\]*J+)
IZ+* I^)+
HI^)+gM\Z
¤>4656;y6 = P y63 ?# $A #$ @A m$@$ B "A#$
#B }A# $ F`)LJ
*) *)Z]
, -.V0
r 9;67 xP 36:: = ¤ 96 m# DU l!"#$ | ?#$
~#C @$ F`)LJ
*), -..0
r 9;6 = ¤ 96 m# DU l!"#$ || m T
i UCA ~#C @$ F`)LJ
*), -..
O y96 A"$ # # SEC# A !"#$ F`)LJ
*)*)Z]
, *)ZLJ ,
-../
P 6 %]Mg*\]MLH]Z \*MgIK+ L ,
)]K^]M* HI^)+* %]Mg*\]MLH]Z &J+MLM^M*, JLc*)+LM I
_I)K, pqq£ Gc]L Z ]YZ* ]M gMM`
\ ]Mg+I_] H^ H^))*JM+M^K*JM+
)]K^]M*+ M]^
gM
HI^)+*+
Z*HM^)*\]M*)L]Z
\\&&
r w639 GJ]ZMLH +IZ^ MLIJ+ I `])ML]Z KL *)*JML]Z *b^]MLIJ+ u*`])M\*JM I G``ZL*K
%]Mg*\]MLH+, JLc*)+LM I **K+, pqq£ Gc]LZ]YZ* ]M gMM`
\ ]Mg+Z**K+]H^ *)
+]Z* M*]HgLJ
gM\Z
2 O9967 P X6:5;6 = 6 9z;9 nA!" $ DC#$ n$ %]++IJ,
p , )*IJK^* *M ]^
\*JMa* *KLMLIJ, -..p
O O;3 " !"$ @nS#$ n $# "# $ E#C @$ "¢ @$ # n$ u^JIK,
-..
X P6:59y6 vb^]MLIJ+ K* M)]J+`I)M JIJ ZLJ *]L)*+ *M ++M*\*+ g`*)YIZLb^*+, pqq0opqq£
tIM*+ K* HI^)+ K* uvG, gMM`
K\]*J+) ^+*)+
`*)Mg]\* P 89;9: = 2 5y93 |#"A# k $ "@n!" $ n!"#$ "¢ nDn$
E $ %]++IJ, (])L+, -..p
2 869s = 8W 863 i |#"A# # ~ l!"#$ t^\Y*) -0
LJ '*_M+ LJ G``ZL*K %]Mg*\]MLH+ F)`LJ
*)o*)Z]
, -..0
x96 nA!" $ @ "¢ A#"$ #@ R#AE$ Unn"¢ vZZL` +*+, -..V
O x459:Q nS#$ @Sn@!"$ E#" $ $AA$ ES$!"$ *)\]JJ, p aKLMLIJ,
)*c^* *M HI))L
a* *KLMLIJ, -.N
8 x6s6 #@ l!" C"@ # RS#$ ~AA B "A# mC i $$ F`)LJ
*)
*)Z]
, +*H*JK *KLMLIJ *KLMLIJ, -..£
8r x59:6 G (uv `)L\ *) *HM^)* JIM* ]c]LZ]YZ* ]M
! "##$%&'( %' )*+ ', * ( $ - ' )'./ # $ *0 #. * %$# ! .' ) 1 2 , -../
xy6 mS#A3 D$ ¡A#T "$# !"#$ F`)LJ
*) *)Z]
, -.V0
456789: ;<= >? @ >AB5C D65 E ;;F
DR
AF
T
;;6 C##3 #B l!"#$ GH]K*\LH ()*++, MgL)K *KLMLIJ, -..V
888
456789: ;<= >? @ >AB5C D65 E ;;F