ÐеждÑнаÑÐ¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½ÑеÑенÑÐ¸Ñ ÑÑÑденÑов, аÑпиÑанÑов и молодÑÑ ...
ÐеждÑнаÑÐ¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½ÑеÑенÑÐ¸Ñ ÑÑÑденÑов, аÑпиÑанÑов и молодÑÑ ... ÐеждÑнаÑÐ¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½ÑеÑенÑÐ¸Ñ ÑÑÑденÑов, аÑпиÑанÑов и молодÑÑ ...
100 EHFHGHKH@bg_klZpbhgZjguo>@dhgljZklguo kljmdlmj dhlhju_ y\eyxlky h^gbf ba lbibqguodeZkkh\j_r_gbcg_ebg_cguow\hexpbhgguomjZ\g_gbc GZ^ZgghfwlZi_fuaZgbfZebkvbkke_^h\Zgb_fk\yaZgguokbkl_fh^ghf_jguo g_klZpbhgZjguo dhgljZklguo kljmdlmj Ijh[e_fZ bamq_gby ^j_cnZ j_r_gbc k\yaZg guomjZ\g_gbchkh[_gghZdlmZevgZ\gZklhys__\j_fyba-aZfZehcbamq_gghklbih\_ ^_gbyg_klZpbhgZjguodhgljZklguokljmdlmj\g_ebg_cghcZdlb\ghckj_^_\hh[s_b bo kbkl_f \ qZklghklb >@ >@ H[t_dlhf bkke_^h\Zgby \uklmiZeZ djZ_\Zy aZ^ZqZ ^ey kbkl_fuk\yaZgguod\Zabebg_cguomjZ\g_gbcl_iehijh\h^ghklbki_j_ghkhfbg_eb g_cgufjZafgh`_gb_fAZ^ZqZbkke_^h\ZeZkv\^\ZwlZiZ\gZqZe_ijh\h^bekyh[rbj guc \uqbkebl_evguc wdki_jbf_gl aZl_f ihemqZebkv qbke_ggu_ hp_gdb ^ey gZ[ex ^Z_fuoy\e_gbc ;uehihemq_ghqlhihklZ\e_ggZyaZ^ZqZbf__l^\_oZjZdl_jguoh[eZklbj_r_ gbc
Ih^k_dpbyfZl_fZlbdb 101 M>D NMG>:FGL:EVGHJRGB >EYH>GH=HGHb jboe_kg_h^ghjh^gufmkeh\b_fgZh^ghcba]jZgbpfh^_ebjmxsbfwe_dljhfZ]gbl gu_dhe_[ZgbyIhemq_ggu_j_amevlZluohjhrhkh]eZkmxlkykwdki_jbf_glhf MjZ\g_gb_bf__lke_^mxsbc\b^nmgdpbyubf__lnbabq_kdbckfukewe_dljb q_kdh]hihl_gpbZeZ ∂ ( ∆u−u) −u= f. ∂t Nmg^Zf_glZevgh_j_r_gb_kljhblkyijbihfhsbij_h[jZah\ZgbyEZieZkZiht. Ihke__]hijh\_^_gbyihemqZ_lkymjZ\g_gb_^eyh[jZaZNJe_]dhk\h^ys__kydmjZ\ g_gbxDbjo]hnZnmg^Zf_glZevgh_j_r_gb_dhlhjh]hohjhrhba\_klghIhke_h[jZl gh]hij_h[jZah\Zgby[m^_fbf_lv u( r, t) = 1 2πir σ + i∞ ∫ σ −i∞ 1 e p pt − p+ 1 r p dp. u( r, t) +∞ t − 1 µ 2 iµ r µ + 1 = ∫ e e dµ . 2 πir −∞µ + 1 Wlhbgl_]jZevgh_ij_^klZ\e_gb_fh`ghk\_klbd[he__m^h[ghfm^eybkke_^h \Zgby\ujZ`_gbx GZb[he__ ijhklh \u\h^blky ZkbfilhlbdZ ijb fZeuo t ^hklZlhqgh jZaeh`blv ihke_^gxxwdkihg_glm\jy^bkf_gblvihjy^hdbgl_]jbjh\Zgbybkmffbjh\ZgbyWlh ijb\_^_ldnhjfme_ ∞ n 1 −r t −r n k −1 −r u( r, t) = e − e + ( ∑t ∑ aknr ) e , r 2 n= 2 k = 0 ]^_dhwnnbpb_glua kn \uqbkeyxlkyZgZeblbq_kdby\gu_\ujZ`_gby^eygboihemqZ xlky\_kvfZ]jhfha^dbfb >ey[hevrbor b t ihemqZxlkykhhl\_lkl\_gghhp_gdb ]^_ δ>0, ε>0 Ihke_^gyy iha\hey_l k^_eZlv nmg^Zf_glZevguc \u\h^ NJ m[u\Z_l ih djZcg_cf_j_[uklj__ex[hckl_i_gbt. −r(1−δ ) An e B( δ ) t u( r, t) ≤ , 1+ n 0. 5n−e u( r, t) ≤ A( δ ) e , r t r Bgl_j_kgucj_amevlZlihemqZ_lkyijbjZkkfhlj_gbbk_q_gbcr/t=CK≠0A^_kv ijbf_gy_lkyf_lh^i_j_\ZeZdhlhjuc^Z_l −at 1 −3 2 u( r, t) = e ( d cosbt + g sin bt) ⋅ ( + O( t )), t
- Page 47 and 48: Ih^k_dpbyZlhfghcby^_jghcnbabdb 49 J
- Page 49 and 50: Ih^k_dpbyZlhfghcby^_jghcnbabdb 51 M
- Page 51 and 52: Ih^k_dpbyZlhfghcby^_jghcnbabdb 53 3
- Page 53 and 54: Ih^k_dpby[bhnbabdb 55 kehlubhklZldZ
- Page 55 and 56: Ih^k_dpby[bhnbabdb 57 ij_iZjZlZBION
- Page 57 and 58: Ih^k_dpby[bhnbabdb 59 m^h\e_l\hjbl_
- Page 59 and 60: Ih^k_dpby[bhnbabdb 61 \Zxlkyhdbkebl
- Page 61 and 62: Ih^k_dpby[bhnbabdb 63 JZ^bZevgZynmg
- Page 63 and 64: Ih^k_dpby[bhnbabdb 65 >ey h[_ki_q_g
- Page 65 and 66: Ih^k_dpby[bhnbabdb 67 gbykeh`guoijh
- Page 67 and 68: Ih^k_dpby[bhnbabdb 69 I_j_f_ggZy=
- Page 69 and 70: Ih^k_dpby[bhnbabdb 71 HKLJMDLMJ;EDH
- Page 71 and 72: Ih^k_dpby[bhnbabdb 73 ahg^Zfb aZnbd
- Page 73 and 74: Ih^k_dpby[bhnbabdb 75 LZdbf h[jZahf
- Page 75 and 76: Ih^k_dpby[bhnbabdb 77 l_evgucZgZeba
- Page 77 and 78: Ih^k_dpby]_hnbabdb 79 jZa\blby [Zjh
- Page 79 and 80: Ih^k_dpby]_hnbabdb 81 3. DhjhlZ_\ =
- Page 81 and 82: Ih^k_dpby]_hnbabdb 83 lb]Zehkvhlkml
- Page 83 and 84: Ih^k_dpby]_hnbabdb 85 qZklbpZoZwjha
- Page 85 and 86: Ih^k_dpby]_hnbabdb 87 JZ[hlZ\uiheg_
- Page 87 and 88: Ih^k_dpby]_hnbabdb 89 M>D FH>EBJH
- Page 89 and 90: Ih^k_dpby]_hnbabdb 91 Hkh[_gghklvxj
- Page 91 and 92: Ih^k_dpby]_hnbabdb 93 iheyjbaZpbhgg
- Page 93 and 94: Ih^k_dpbyfZl_fZlbdb 95 F:LF:LBD: Ij
- Page 95 and 96: Ih^k_dpbyfZl_fZlbdb 97 M>D QBKEGGHF
- Page 97: Ih^k_dpbyfZl_fZlbdb 99 < hij_^_e_gb
- Page 101 and 102: Ih^k_dpbyfZl_fZlbdb 103 1. _ebpug :
- Page 103 and 104: Ih^k_dpbyfZl_fZlbdb 105 < gZklhys_c
- Page 105 and 106: Ih^k_dpbyfZl_fZlbdb 107 4. Thual O.
- Page 107 and 108: Ih^k_dpbyfZl_fZlbdb 109 Ml\_j`^_gby
- Page 109 and 110: Ih^k_dpbyfZl_fZlbdb 111 M>D H;JHLGH
- Page 111 and 112: Ih^k_dpbyfZl_fZlbdb 113 M>D JRGBMJ:
- Page 113 and 114: Ih^k_dpbyfZl_fZlbdb 115 k]jZgbqgufb
- Page 115 and 116: Ih^k_dpbyfZl_fZlbq_kdh]hfh^_ebjh\Zg
- Page 117 and 118: Ih^k_dpbyfZl_fZlbq_kdh]hfh^_ebjh\Zg
- Page 119 and 120: Ih^k_dpbyfZl_fZlbq_kdh]hfh^_ebjh\Zg
- Page 121 and 122: Ih^k_dpbyfZl_fZlbq_kdh]hfh^_ebjh\Zg
- Page 123 and 124: Ih^k_dpbyfZl_fZlbq_kdh]hfh^_ebjh\Zg
- Page 125 and 126: Ih^k_dpbyfhe_dmeyjghcnbabdb 127 FHE
- Page 127 and 128: Ih^k_dpbyfhe_dmeyjghcnbabdb 129 beb
- Page 129 and 130: Ih^k_dpbyfhe_dmeyjghcnbabdb 131 M>D
- Page 131 and 132: Ih^k_dpbyfhe_dmeyjghcnbabdb 133 1.
- Page 133 and 134: Ih^k_dpbyfhe_dmeyjghcnbabdb 135 M>D
- Page 135 and 136: Ih^k_dpbyfhe_dmeyjghcnbabdb 137 A n
- Page 137 and 138: Ih^k_dpbyfhe_dmeyjghcnbabdb 139 bam
- Page 139 and 140: Ih^k_dpbyhilbdb 141 M>D HLJ:@GBDJBK
- Page 141 and 142: Ih^k_dpbyhilbdb 143 \ h[t_f_ nhjfbj
- Page 143 and 144: Ih^k_dpbyhilbdb 145
- Page 145 and 146: Ih^k_dpbyhilbdb 147 2. ;Zjur_\:D 53
- Page 147 and 148: Ih^k_dpbyhilbdb 149 4. Plihal M., S
100<br />
EHFHGHKH@bg_klZpbhgZjguo>@dhgljZklguo kljmdlmj dhlhju_ y\eyxlky h^gbf ba<br />
lbibqguodeZkkh\j_r_gbcg_ebg_cguow\hexpbhgguomjZ\g_gbc<br />
GZ^ZgghfwlZi_fuaZgbfZebkvbkke_^h\Zgb_fk\yaZgguokbkl_fh^ghf_jguo<br />
g_klZpbhgZjguo dhgljZklguo kljmdlmj Ijh[e_fZ bamq_gby ^j_cnZ j_r_gbc k\yaZg<br />
guomjZ\g_gbchkh[_gghZdlmZevgZ\gZklhys__\j_fyba-aZfZehcbamq_gghklbih\_<br />
^_gbyg_klZpbhgZjguodhgljZklguokljmdlmj\g_ebg_cghcZdlb\ghckj_^_\hh[s_b<br />
bo kbkl_f \ qZklghklb >@ >@ H[t_dlhf bkke_^h\Zgby \uklmiZeZ djZ_\Zy aZ^ZqZ ^ey<br />
kbkl_fuk\yaZgguod\Zabebg_cguomjZ\g_gbcl_iehijh\h^ghklbki_j_ghkhfbg_eb<br />
g_cgufjZafgh`_gb_fAZ^ZqZbkke_^h\ZeZkv\^\ZwlZiZ\gZqZe_ijh\h^bekyh[rbj<br />
guc \uqbkebl_evguc wdki_jbf_gl aZl_f ihemqZebkv qbke_ggu_ hp_gdb ^ey gZ[ex<br />
^Z_fuoy\e_gbc<br />
;uehihemq_ghqlhihklZ\e_ggZyaZ^ZqZbf__l^\_oZjZdl_jguoh[eZklbj_r_<br />
gbc