Kuczma M., Choczewski B., Ger R. — Iterative Functional Equations :: Электронная библиотека попечительского совета мехмата МГУ

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Kuczma M., Choczewski B., Ger R. — Iterative Functional Equations

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Название: Iterative Functional Equations

Авторы: Kuczma M., Choczewski B., Ger R.

Аннотация:

A cohesive and exhaustive account of the modern theory of iterative functional equations.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1990

Количество страниц: 552

Добавлена в каталог: 13.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Invariant curves, Lipschitzian      461—466
Invariant densities      240 244
Invariant densities, Riemann integrable      242
Invariant measure      see “Stationary measure”
Involutions      421 450—455
Involutory functions      450
Issacs, R.      422—423
Iterate of a function      14
Iteration group      47
Iteration semigroup      see “Flow”
Iterative functional equation      XV 11
Iterative functional inequalities, linear, of first order      172 474—479 481—495 501—503
Iterative functional inequalities, linear, of infinite order      499—501 503
Iterative functional inequalities, linear, of second order      495—498
Iterative functional inequalities, special nonlinear      320—322
Iterative logarithm      346—352 357—358
Iterative residuum      346—347 349
Iterative roots      421
Iterative roots of convex or concave functions      437 469
Iterative roots of FPSs      446—448
Iterative roots of identity (primitive)      453
Iterative roots of iterative roots of identity      449
Iterative roots of strictly decreasing functions      426—427
Iterative roots of strictly increasing functions      424—425 427—429 431 442—443
Iterative roots, class      430—436 442—443
Iterative roots, class      428—429
Iterative roots, continuous      423—428
Iterative roots, convex or concave      430—431 437 469
Iterative roots, formal      446—448
Iterative roots, homographic (of identity)      453—455
Iterative roots, locally analytic      443
Iterative roots, monotonic      423
Iterative roots, strictly decreasing      426—428
Iterative roots, strictly increasing      424—425 428—429
Iterative valuation      346—347 349
Jabotinsky, E.      347 355 357
Jaeger, R.      420
Jaglom, A.M.      55
Jakobson, M.V.      266
Jakowska-Suwalska, K.      208
Jankowski, T.      61 503
Jarczyk, W.      42 104 106 144 177—178 194 268 303 329 466
Jelonek, J.      122 232
Jensen inequality      225—226
JND      10
John, F.      62 74
Julia equation      124—126 346 361 469
Julia set      23
Julia, G.      122 353 355 368 420
Just noticeable difference (JND)      10
Kac, M.      501
Kairies, H.-H.      91 393 407—409 413—414 418—419
Kalinowski, J.      19 144 371
Kannappan, Pl.      406
Kaplan, N.      89
Karamata, J.      27 75
Karlin — McGregor function      388
Karlin, S.      388
Keeler, E.      37 39 277
Kemperman, J.H.B.      140
Kiesewetter, H.      XVI
Kingman, J.F.C.      88
Kisyhski, J.      179
Kneser, H.      353 368
Knopp, K.      8
Koenigs algorithm      167 367
Koenigs, G.      167 367
Kominek, Z.      49 74 241 266 305 307 310 312
Kopell, N.      355
Kordylewski, J.      18 69 105—106 186 195 263 305 310 328
Kornstaedt, H.-J.      61 503
Kostant, B.      353
Krasnosel’skii, M.A.      40
Kravcenko, V.G.      105
Krull, W.      72 74 91
Kruppel, M.      16 355
Krzeszowiak-Dybiec, Z.      187 261 311
Kucko, L.P.      253 258 363
Kuczma, M.      XV XVI 1 4 14—16 27 33 36 48—49 52 59 62 64 68—69 72—74 76 81 89 91 94 97 105—106 108 111 118—119 121—122 144—147 155—156 164 169 176 179 183 187 190 195 198—200 204 225 231—232 261 263 305 311 330 336 342 353 355 362—363 368—372 390—391 393 395 398 404 406—408 414 420 422 428—430 432 436—438 446 460 466 470—471 473—474 480 502
Kuratowski equivalence relation      14
Kuratowski, K.      14 467
Kuyk, W.      18
Kwapisz, M.      61 74 92 204 293 305 327 471 503
L-intervals      401—402
Laczkovich, M.      268 385
Laha, R.G.      89 237 266
Laplace transform, continuity theorem      94
LAS      150
Lasota, A.      130 137 240 244
Lattes, S.      460 461
Lebesgue measure      175—176 182—183
Legendre duplication formula      412
Levy algorithm      367
Levy, P.      367
Li, T.Y.      17
Ligett, T.M.      469
Lillo, J.C.      470
Linear difference equation, convex solutions      72—73
Linear difference equation, monotonic solutions      68
Linear difference equation, p-convex solutions      89—91
Linear equation dependent on a parameter      106—108
Linear equation of second order, Riemann integrable solutions      409 420
Linear equations, absolutely continuous solutions      177—178
Linear equations, asymptotics of solutions discontinuous at the origin      117—119
Linear equations, continuous solutions      97—106 491
Linear equations, continuous solutions, asymptotic properties      108—115
Linear equations, continuous solutions, asymptotic series expansions      115—117
Linear equations, continuous solutions, convex solutions      69—73
Linear equations, continuous solutions, differentiable solutions      119—122
Linear equations, continuous solutions, indeterminate case      105 143—144
Linear equations, continuous solutions, integrable solutions      169—178 182—183 184
Linear equations, continuous solutions, LAS      151—164 181
Linear equations, continuous solutions, meromorphic solutions      152 165—71 181
Linear equations, continuous solutions, monotonic solutions      61—67
Linear equations, continuous solutions, nonnegative solutions      59—61
Linear equations, continuous solutions, one-parameter family      99 101 105
Linear equations, regularly varying solutions      76—81 84—86 88—89
Linear equations, solutions of almost bounded variation      135
Linear equations, solutions of bounded variation      130—135 146
Linear equations, topological space      148
Linear recurrence inequalities      264—265
Linear recurrence inequalities system      263
Linearization      5 334—339 363—364
Liouville numbers      156 180
Lipinski, J.S.      146 353 355
Littlewood, J.E.      8
Livsic, A.N.      137
Local analytic solutions      see “LAS”
Loeve, M.      35
Logarithmic convexity      407—408
Lojasiewicz, S.      422
Lotka, A.J.      91
Luce, R.D.      10—11
Lucht, L.      411 414 419
Luessy, W.      467
Lukacs, E.      89 237 266
Lundberg, A.      76 368
Lundmark, K.      11
Lush, P.E.      460
Maier, W.      XVI
Majcher, G.      179 260 304—305
Malenica, M.      145
Martin, R.H., Jr.      208
Mateability      422
Matkowska, A.      208
Matkowski fixed point theorem      39—42
Matkowski, J.      23 37—39 44 46 49 69 74 106 130 136 150 152 154 165 169 177—182 188 200 204 208 216 220—222 232 241 244 260 263 266 282 286 305 307—308 328 330 355 382 387 500
Matrix compatible with a group      246
Matrix equation      248 253 262
Matrix equation, local $C^{\infty}$ solutions      253—257

Matrix equation, reduction to scalar systems      249—250
Maurice, M.A.      18
Mayer, A.      74 408 414
McCoy, T.L.      234
McGregor, J.      388
McShane, N.      450
Meir, A.      37 39 277
Menger, K.      46
Metrically convex space      38
Meyers, P.R.      50
Minkowski inequality      233
Mira, C.      XVI
Mis, J.      208
Misiurewicz, M.      17 23
Mohr, E.      392 420
Moldovan, E.      363
Mollerup, J.      407
Montel, P.      XVI 368 473—474 460—461
Moser, J.      156
Moszner, Z.      48 368 371 470
Mrozek, A.      16
Muckenhoupt, B.      167 347 350—351 353 359 446
Mukherjea, A.      387
Muldoon, M.E.      408—409 414
Multiplier      430
Multiplier, nonzero      430—438
Multiplier, primitive root of unity      447—449
Multiplier, unity      445—446
Multiplier, zero      438—443
Mycielski, J.      361
Myrberg, P.J.      164 368
Nabeya, P.J.      460 466
Nawrocki, J.      471
Nemitskii operator      206
Nemitskii operator, Lipschitzian      206—208 232
Neuman, F.      XVI 141—143 379—382 386
Newman, M.      268
Ney, P.      59
Nitecki, Z.      353 362 368 459
Noerlund, N.E.      XVI
Nonautonomous difference equations      387—388
Nonlinear equation of nth order      330—331
Nonlinear equations, solutions      208—216 231
Nonlinear equations, solutions      225—226
Nonlinear equations, solutions      222—229
Nonlinear equations, asymptotic properties of solutions      200—204
Nonlinear equations, bounded solutions      187—188 191—194
Nonlinear equations, continuous solutions      187—200 230
Nonlinear equations, differentiable solutions in Banach spaces      232
Nonlinear equations, extension of solutions      185—187 195
Nonlinear equations, LAS      216—219
Nonlinear equations, Lipschitzian solutions      204—206
Nonlinear equations, solutions differentiable at the origin      203—204
O-flat function      254
Oginska, W.      23
Orbit      14
Order      1
Ostrowski lemma      18—19
Ostrowski, A.M.      18 27 30 393
Pakes, A.G.      89
Pavaloiu, J.      42
Peculiar curves      419—420
Pelczar, A.      74 204 208 355
Pelyukh, G.P.      XVI 1 4 221 253 407
Penner, S.      46
Permutable analytic functions      358—359
Permutable FPSs      356—357
Permutable functions      353—355
Peschl, E.      368
PGFs      52—53 55—57 91
Piecewise linear mappings      240—243
Pisot, Ch.      74 91
Pitman, J.W.      399
Plis, A.      254
Poincare equation      167 388
Poincare — Bendixson theorem      48
Poincare, H.      167 335
Poly-vibrating equation      179
Popoviciu, T.      89 91 473
Pranger, W.      167
Pre-Schroeder system      369—371 385
Presic, S.      245
Primitive iterative root of identity      453
Principal solution of Abel equation      366—367
Principal solution of Schroeder equation      366—367
Probability generating function      see “PGF”
Probability of extinction      54
Przeworska-Rolewicz, D.      183—184
Pugh, C.      460
Raclis, R.      167
Rado, F.      451
Radon — Nikodym derivative      170 181
Rakotch, E.      38
Random-valued function      see “Rv-function”
Rausenberger, O.      167
Read, A.H.      221
Reghis, M.      2 4 11 14
Regular CS of homogeneous inequality      483
Regular CS of inhomogeneous inequality      489
Reich, L.      368
Reich, S.      36
Renyi, A.      237
Representation theorems      472
Restricted stationary measure      see “RSM”
Revesz, Sz.      385
Reznick, B.A.      470
Rice, E.E.      334 468 471
Riekstins, E.      27 119
Riemann zeta function      183
Robbins, H.E.      406
Roth theorem      158 180
Roth, K.F.      180
Rozmus-Chmura, M.      71 74 119
Roznowski, M.      293 470
RSM      58 86—89
Rubel, L.A.      364
Ruelle, D.      137
Ruessmann, H.      156
Rus, J.A.      42
Russell, D.C.      265
Rutickii, Ja.B.      40
Ruziewicz, S.      420
Rv-function composition      33
Rv-function continuity      35
Rv-function iterates      34
S.A. functions      371—375 378
S.A. functions diagonals      372
S.A. functions generators      372
Saaty, T.L.      6 9
Sablik, M.      18 47 232 320 466
Sarifova, T.      263
Sarkovskii, A.N.      XVI 1 4 16 49 253 399 402 407
Schilling, R.      268—269
Schmidt, H.      414
Schroeder equation      5 27 55 68—69 82 93 95 130 332 335 354 361—362 365 368 382—383 388 394—395 398 432 435—437 444 496 498
Schroeder equation, C solutions in RN      336—339
Schroeder equation, convex solutions      74 94
Schroeder equation, differentiable solutions      122—123 126—128 145
Schroeder equation, LASs      167
Schroeder, E.      5 27
Schroeder, K.J.      46
Schubert, C.F.      368
Schwarzman, P.A.      27
Schweizer, B.      46 138 334 360 468
Schwerdtfeger, H.      451
Second order differential equations, dispersion      141
Second order differential equations, phase      141
Seethoff, T.L.      138 140
Seneta, E.      26—27 59 75 80—81 89 94—95 367—368
Sequences of iterates      see “Splinters”

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