√лавна€    Ex Libris     ниги    ∆урналы    —татьи    —ерии     аталог    Wanted    «агрузка    ’удЋит    —правка    ѕоиск по индексам    ѕоиск    ‘орум   
blank
јвторизаци€

       
blank
ѕоиск по указател€м

blank
blank
blank
 расота
blank
Hille E. Ч Ordinary Differential Equations in the complex domain
Hille E. Ч Ordinary Differential Equations in the complex domain

„итать книгу
бесплатно

—качать книгу с нашего сайта нельз€

ќбсудите книгу на научном форуме



Ќашли опечатку?
¬ыделите ее мышкой и нажмите Ctrl+Enter


Ќазвание: Ordinary Differential Equations in the complex domain

јвтор: Hille E.

язык: en

–убрика: ћатематика/јнализ/ƒифференциальные уравнени€/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 1976

 оличество страниц: 484

ƒобавлена в каталог: 05.11.2004

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
blank
ѕредметный указатель
Abel, Niels Henrik      52 151
Abel, Niels Henrik, elliptic functions      262
Abel, Niels Henrik, Wronskian      324
Abelian integrals      263
Aczel, Janos      39
Addition      2
Addition of matrices      8
Addition of operators      6
Addition, theorems for: elliptic functions      430Ч431
Addition, theorems for: tangent function      106
Adjoint      254
Adjoint, anti      254
Adjoint, self      254
Affinity      117
Ahlfors, Lars V.      viii 61
Ahlfors, Lars V., characteristic function      118Ч119
Ahlfors, Lars V., Schwarzian and conformal mapping      391
Algebra      2
Algebra, Banach      6
Analysis situs (topology)      97
Analytic Function Theory      39
Anticlinal      289
Argument      17
Argument, interchange of, and parameter      254
Argument, principle of      29
Asymptotics: Boutroux      444Ч448
Asymptotics: in the plane      178Ч191
Asymptotics: on the real line      171Ч178
Asymptotics: on the real line, of cubic equation      178
Autonomous: equation      47 80
Autonomous: polynomial system      455Ч465
Baker, E.B.: series      451 466
Banach, Stefan      5
Banach, Stefan, algebra      6
Banach, Stefan, fixed point theorem      9
Banach, Stefan, space      5
Bank, Steven S.      143
Barnes, F. Ernest William      276
Barnes, F. Ernest William, integral for Bessel function      279
Barnes, F. Ernest William, integral for hypergeometric function      276Ч278
Barnes, F. Ernest William, Poohhammer Ц notation      221
Basis      6
Bateman papers      see Erdelyi Magnus Oberhettinger and
Beesack, Paul R.      283 300Ч301 304 306Ч308 320 391
Bellman, Richard      468
Bendixson, Ivar      16 74
Bendixson, Ivar, theorem      16 39 70 74
Bernoulli: Daniel      41 103Ч104 212
Bernoulli: Jakob      41 104
Bernoulli: Johann      41 104
Bernoulli: Johann, equation      104
Bessel, Friedrich Wilhelm: equation      103 211Ч216 279 312Ч317
Bessel, Friedrich Wilhelm: equation, quasi      178
Bessel, Friedrich Wilhelm: functions, 1st kind      212
Bessel, Friedrich Wilhelm: functions, 2nd kind      213
Bessel, Friedrich Wilhelm: functions, 3rd kind (Hankel)      215
Bestimmtheitsstelle      147
bezout      78
Bezout, method      78
Bieberbach, Ludwig      198 360 400 468
Binormal      111
Birkhoff, George David      44 74
Birkhoff, George David generalized Laplace transform      271Ч274
Birkhoff, George David, canonical form      361 378
Birkhoff, George David, regular singular point      337Ч338 372
Birkhoff, George David, Riemann problem      201 357 370Ч372
Birkhoff, George David, second order linear DE      370Ч371 373
Bliss, Gilbert Ames      102
Bocher, Maxime      247 468
Bolzano, Bernhard: Weierstrass theorem      4
Boruvka, Otakar      viii 468
Boundary: entrance      173
Boundary: natural      23
Boundary: natural, movable      434
Boundary: of domain d (D)      18
Bouquet, Jean-Claude      79 402
Bouquet, Jean-Claude 1st order equations singular at the origin      402Ч416
Bouquet, Jean-Claude, Brio- elliptic functions      79Ч80 102 418Ч428 431 435Ч439 468
Bourbaki, N.      468
Boutroux, Pierre      86 102 135 402 411 432Ч433 468
Boutroux, Pierre solutions, of exponential type      86 312
Boutroux, Pierre solutions, of exponential type, of power type      87 413 415Ч416
Boutroux, Pierre, asymptotics      283 319 444Ч448 468
Branch point: algebraic      34
Branch point: algebraic, movable      83Ч85
Branch point: logarithmic      77
Branch point: transcendental      76 79
Briot, Charles      see Bouquet
Brouwer, L.E.J., fixed point theorem      9 44 74
Burmann, Hans-Wilhelm      279 282
Cacciopoli, R.      44 74
Calcul des limites      51 74
Calculus of residues      28Ч30
Calculus of residues, Lindeloef      83
Caratheodory, Constantin: condition      13
Caratheodory, Constantin: conformal mapping      377
Caratheodory, Constantin: uniqueness theorem      51
Cayley, Arthur: Hamilton Ц theorem      9
Cebysev, Pafnutij Livovic: polynomials      387Ч388
Cebysev, Pafnutij Livovic: polynomials, minimax property      388
Center = vortex      314
Cesari, Lamberto      468
Characteristic function: of R. Nevanlinna      117
Characteristic function: of rational function      118
Characteristic function: spherical of Shimizu and Ahlfors      118Ч119
Chazy, Jean      431 439 465
Clairaut, Alexis-Claude      41
Closure      4
Closure, relation      210
Coddington, Earl A.      198 371 468
Colombo, Serge      282
Commutator      344
Commutator, Daletzskij's formula      347 353
Commutator, Foguel's theorem      347
Commutator, resolvent      347 353
Commutator, spectrum      344
Comparison theorems      300Ч308
Component, maximal      132
Condition: Caratheodory      13
Condition: Lifpschitz      5
Cone: positive conal harmonics      211
Conformal Mapping: application of Schwarzian to      377Ч383
Conformal Mapping: by modular functions      397Ч398
Conformal Mapping: of circular polygons      378Ч383
Conjugacy      203
Conjugacy of complex numbers      20
Connectedness      18
Connectedness simple      20
Conti, R.      432 469
Continuation, analytic      33Ч38
Continuation, analytic of solution      81Ч96 192Ч194 327Ч333
Continuity      18
Contraction      9
Contraction, fixed point theorem      9Ч11
Convergence: absolute      21
Convergence: equi-      119Ч121
Convergence: exponent of      120
Convergence: holomorphy preserving      27Ч28
Convergence: in norm      99
Convergence: induced      27
Convergence: radius of      21
Convergence: uniform      27
Convexity: horizontal      286
Convexity: theorem      290Ч291
Convexity: vertical      286
Coordinates, confocal      245
Coppel, W.A.      194 199 328 425 466 468
Coulson, C.A.      450 466
Crelle, August Leopold, Journal      151
Curvature: radius of      111
Curvature: vector      111
Cut      20
Cylinder functions: circular (= Bessel)      229Ч230
Cylinder functions: elliptic      234Ч242
Cylinder functions: parabolic      230Ч233
Daletzkij, Yu.L.      347 353 372
de Cauchy, Augustine-Louis, Baron      17 24 42 52
de Cauchy, Augustine-Louis, Baron, calcul des limites      51 74
de Cauchy, Augustine-Louis, Baron, extension      251
de Cauchy, Augustine-Louis, Baron, Hadamard formula      21
de Cauchy, Augustine-Louis, Baron, integral      24 31
de Cauchy, Augustine-Louis, Baron, kernel      22( see also Kernel)
de Cauchy, Augustine-Louis, Baron, majorant      57Ч60
de Cauchy, Augustine-Louis, Baron, Riemann equations      19
de Cauchy, Augustine-Louis, Baron, sequence      4
de Cauchy, Augustine-Louis, Baron, theorem      25
Defect      126
Defect, relation      126
Dependence: linear      2 151
Dependence: linear in-      2 151
Derivative      19
Determinant      7
Determinant infinite      248
Diameter, topological      4
Dicylinded      44
Difference equation      257 277 279 281
Difference equation, of Bessel functions      213 280
Difference equation, of Legendre functions      211 274
Difference set of spectrum      346 367
Differential equation = DE      40
Differential equation linear      144
Differential equation nonlinear      41
Differential equation nonlinear, order of      41
Differential equation, linear homogeneous      144
Differential equation, linear nonhomogeneous      145
Differential equation, linear selfЧadjoint      179 254
Differential equation, linear selfЧadjoint, anti      254
Differential equation, linear singular      328
Differential equation, solution      41
Differential equation, solution general      43
Differential equation, solution particular      43
Differential equation, solution singular      43
Differential equations, linear      144Ч373
Differential equations, linear, complex oscillation theory      283Ч320
Differential equations, linear, first order      144Ч148
Differential equations, linear, integral representation      253Ч283
Differential equations, linear, matrix DE      322Ч373
Differential equations, linear, nth order      321Ч373
Differential equations, linear, second order      148Ч153
Differential equations, linear, special second order      200Ч248
Differential equations, linear, special second order, Bessel      211Ч216 278 312Ч315
Differential equations, linear, special second order, Floquet      242Ч243
Differential equations, linear, special second order, Halre      247
Differential equations, linear, special second order, Hermite Ч Weber      228Ч238 315Ч317
Differential equations, linear, special second order, Hill      244
Differential equations, linear, special second order, hypergeometric      200Ч208 265Ч270 308Ч310 399Ч400
Differential equations, linear, special second order, hypergeometric confluent      226
Differential equations, linear, special second order, Laguerre      227
Differential equations, linear, special second order, Lamg      245Ч246
Differential equations, linear, special second order, Laplace      216Ч228
Differential equations, linear, special second order, Legendre      208Ч211 260Ч264 279Ч280 310Ч315
Differential equations, linear, special second order, Matbleu      234Ч242 317Ч318
Differential equations, linear, special second order, Titchmarsh      188Ч191 319
Differential equations, nonlinear      40Ч143 374Ч467
Differential equations, nonlinear, autonomous 1st order Briot Ч Bouquet      80 91Ч96 102 416Ч432
Differential equations, nonlinear, autonomous 2nd order Briot Ч Bouquet      435Ч439
Differential equations, nonlinear, autonomous polynomial systems      460Ч467
Differential equations, nonlinear, autonomous quadratic systems      455Ч460
Differential equations, nonlinear, Eraden and Thomas Ч Fermi Des      448Ч455
Differential equations, nonlinear, existence and uniqueness of solutions      40Ч75
Differential equations, nonlinear, first order Briot Ч Bouquet DEs singular at z = 0      402Ч416
Differential equations, nonlinear, Painleve transcendent      439Ч448
Differential equations, nonlinear, Painleve transcendents, asymptotics of Boutroux      444Ч448
Differential equations, nonlinear, Riccari DE's, generalizations      138Ч143
Differential equations, nonlinear, Riccati DE's      103Ч143
Differential equations, nonlinear, singularities      76Ч102
Differential forms, quadratic      211 233
Differential operators: linear L, L*, M, M*      254Ч256
Differential operators: v = z d/dz      203 276 321Ч322
DIMENSION      2
Discriminant equation      77
Disk(s): circular      18
Disk(s): circular, closest packing of      133Ч134
Distance      1
Distance chordal      18
Distance postulates      1
Domain      18
Domain, boundary of      18
Dominant      56 63Ч67 171Ч176
Dominant, sub-      171Ч177
Dot: Newton's symbol      97
Dot: product (= inner product)      9 114
Dulac, Henri      251 281 431Ч432 467Ч468
Eigenvalue      8
Elements      1
Elements algebraic      34
Elements infinitary      34
Elements logarithmic      392
Elements negative      2
Elements neutral      2
Elements regular      34
Elements zero      3
Elhptic functions      79 80 91 102 427Ч431
Elhptic functions of Jacobi      91 127 207 262
Elhptic functions of Weierstrass      96 126Ч127 143
Elhptic functions, DEs satisfied by      126Ч7 143 416Ч427 434Ч439
Emden, R.: equation      433 448Ч453 456 466
Emden, R.: Gaskugeln      448 466 468
Equation(s): Cauchy Ч Riemann      19
Equation(s): characteristic, of matrix      8
Equation(s): defining algebraic function      77
Equation(s): difference      see Difference equation
Equation(s): differential      see Differential equation; Differential equation linear; non-linear;
Equation(s): discriminant      77Ч78
Equation(s): indicial      157 344
Equation(s): Laplucian      19
Equation(s): matrices      101
Equation(s): minimal, of matrix      244 346
Equation(s): natural, of curve      118
Equation(s): paths      330
Equi-convergence      119 120 121
Esrdelyi, A.: Bateman papers      248 468
Euler, Leonard: Bessel's DE      212
Euler, Leonard: beta function      109 206 265
Euler, Leonard: DE      343
Euler, Leonard: Mascheroni constant      209
Euler, Leonard: transform      258Ч265
Euler, Leonard: transform hypergeometric      265Ч270
Euler, Leonard: transform, Legendre DE      260Ч261
Existence theorems      40Ч75
Existence theorems, concept of solutions      404
Existence theorems, dominants and minorants      63Ч67
Existence theorems, fixed point method      44Ч47
Existence theorems, indeterminate coefficients      41Ч51
Existence theorems, majorants      51Ч57
Existence theorems, majorants, calcul des limites      52
Existence theorems, majorants, Cauchy majorant      57Ч60
Existence theorems, majorants, Lindeloef majorant      60Ч63
Existence theorems, successive approximations      47Ч51
Existence theorems, successive approximations, Caratheodory condition      51
Existence theorems, variation of parameters      67Ч74
Exponential function      19
Exponential function of matrices      99
Exterior      195
Extremum      284
Fabry, Eugene: subnormal series      362 373
Fermi, Enrico      449
Fermi, Enrico, Thomas Ч Fermi equation      96 433 446Ч453
Field: complex      2
Field: definite vector      297
1 2 3 4
blank
–еклама
blank
blank
HR
@Mail.ru
       © Ёлектронна€ библиотека попечительского совета мехмата ћ√”, 2004-2017
Ёлектронна€ библиотека мехмата ћ√” | Valid HTML 4.01! | Valid CSS! ќ проекте