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

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Ќазвание: Iterative Functional Equations

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

јннотаци€:

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


язык: en

–убрика: ћатематика/

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

ed2k: ed2k stats

√од издани€: 1990

 оличество страниц: 552

ƒобавлена в каталог: 13.12.2009

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
$C^r$-conjugate functions      343Ч344 363
A-conjugate functions      343 363
Abel equation      5 127Ч129 142 332 351Ч352 355 365 369 372Ч373 390 391 432Ч435 437
Abel equation, convex solution      73 83 86 93
Abel equation, multivalued solutions      168Ч169
Abel, N.H.      5
Aczel, J.      XV 1 6Ч7 9 47 94 207 236 371Ч372 389 393Ч394 451Ч452
Adamczyk, H.      305 471
Alsholm, P.      266
Alsina, C.      9
Analytically conjugate FPS      345 350Ч351 359
Anastassiadis, J.      74 408 414 472
Anczyk, L.      119 362
Andreoli, G.      420
Anosov diffeomorphism      137
Anosov, D.V.      258 460
Approximate solutions      291Ч293
Approximate solutions, polynomial      298Ч299
Approximation by Lipschitzian mappings      296Ч297
Approximation in BuckТs sense      293Ч296
Arnold, V.I.      137
Artin, E.      407 410 413Ч414
Associative functions      371
Associative functions, Archimedean      371
Associativity equation      371
Athreya, K.B.      59 89
Automorphic functions      369 385
Avez, A.      137
Baayen, P.C.      18
Babbage equation      421 450Ч451
Babbage, Ch.      450
Badura, K.      263
Baillieul, J.      46
Bajraktarevic, M.      69 74 106 145 260 305 414 422 471
Baker, I.N.      16 23 164 347 355Ч358 368
Baker, J.      147
Balint, S.      2 4 11
Banach theorem      37
Banach theorem, generalizations      37Ч43
Barbour, A.D.      89
Barna, B.      15Ч17 49
Baron extension theorem      271Ч275
Baron, K.      33 36 44 49 74 106 142 192 222 243 266 268Ч269 271 273 275Ч276 279Ч280 282 286Ч287 290 293 299 303Ч305 308 320 327Ч329 471 500
Barvinek, E.      142 382
Beckenbach, E.F.      363
Belickii, G.P.      352
Bellman, R.      93 271 368
Berg, L.      263
Bernoulli polynomials      90
Bielecki, A.      179
Bingham, N.H.      89
Blanchard, P.      23
Blaschke product      364
Block, L.      17
Boedewadt, U.T.      368 382 470
Boettcher equation      5 32 332 339Ч342 354 362Ч363 390Ч391 393 395Ч396 404 438Ч443 445
Boettcher, L.E.      5 339
Bogdanov, Ju.S.      451
Bohr, H.      407
Boruvka, O.      141 382
Borwein, D.      265
Borzymowski, A.      179
Boshernitzan, A.      364
Boyarsky, A.      244 266
Boyce, W.M.      355
Boyd, D.W.      38
Branching processes      52Ч59
Bratman, S.      352 432 470
Brauer, G.      503
Browder, F.E.      37
Brown, J.W.      446
Brydak, D.      69 291 460 471Ч472 474 477 481 488 495 503
Buck, R.C.      243 292
Burckell, R.B.      393
Burek, J.      59 62 69
Burkart, U.      17 368 371
C.n.d. functions      183 414Ч419
Cantor singular function      420
Caratheodory, K.      222 309
Carroll, F.W.      364 368
Cassels, J.W.S.      180
Cauchy functional equations      94 236
Cauchy functional equations on a curve      236Ч237 268
Cebysev polynomials      364 406
Change of variables      333
Characterization of functions, cosine      399 406Ч407
Characterization of functions, cotangent      420
Characterization of functions, exponentials      237 265 393Ч395
Characterization of functions, hyperbolic cosine      399 406
Characterization of functions, identity      390 392
Characterization of functions, linear function      237 268 392
Characterization of functions, logarithm      393Ч395 398
Characterization of functions, polynomials      91
Characterization of functions, reciprocal      390Ч392 455Ч499
Characterization of functions, roots      391Ч393
Characterization of functions, sine      403 406Ч407
Characterization of norms      382Ч384 386Ч387
Chen, K.T.      355
Choczewski, B.      4 27 49 105Ч106 108 111 115Ч116 118Ч119 122 130 146Ч147 216 231 291 305 311 329 382 471 495 488 499
Chronon      10
Church, J.D.      388
Ciesielski, Z.      501
Clark, W.E.      387
Coherent families of FPSs      364
Coifman, R.R.      81 355 368
Collet, P.      16 266
Commuting      see УPermutableФ
Comparison theorems      472
Composition of functions      14 46
Composition of ru-functions      33
Compositionally coherent families of FPSs      364
Conditional limit probabilities      54
Conjugacy      332
Conjugacy equation      332
Conjugate hat functions      360
Conjugate trapezoid functions      360
Continued fractions      157
Continuous dependence, $C^r$ solutions of nonlinear equations      231
Continuous dependence, continuous solutions of infinite order equations      299Ч302
Continuous dependence, continuous solutions of nonlinear equations      190
Continuous dependence, LAS      149 154 180 219Ч221
Continuous dependence, transformations      43Ч46
Continuous nowhere differentiable functions      see УC.n.d. functionsФ
Continuous solutions of linear iterative functional inequalities      see УCSsФ
Convergence of random splinters      35
Convex functions of order p (p-convex)      89
Cooper, R.      74 406
Copson, E.T.      265
Cosine equation      399Ч402
Craja-Pospiech, D.      190 200
Cremer, H.      155
Cross ratio      129Ч130
Crum, M.      9 122 432
CS      473
CS of homogeneous inequality, asymptotic behaviour      477
CS of homogeneous inequality, asymptotic properties      492Ч493 503
CS of homogeneous inequality, comparison theorems      475 484Ч485
CS of homogeneous inequality, regular      483Ч485 492Ч494
CS of homogeneous inequality, representation theorems      476Ч477 485Ч486
CS of inhomogeneous inequality, asymptotic behaviour      479 502
CS of inhomogeneous inequality, best lower bound      488
CS of inhomogeneous inequality, estimates      478 481Ч482 489
CS of inhomogeneous inequality, regular      489Ч490
Cycle of order k      15
Cyclic equations      244Ч248
Czerni, M.      329 503
Czerwik, S.      49 61 69 74 106Ч108 122 216 305 471
Dankiewicz, K.      329 503
Darboux property      465Ч467 470 471
Darsow, F.      371 374 378 418
de Bruijn, N.G.      26Ч27
de Rham, G.      418 420
Decomposition of two-place functions      243 269
Deimling, K.      179
Devaney, R.L.      23
Dhombres, J.      XV 94 236 393 460 466 471
Diamond, Ph.      27 36 368Ч370
Dickey, L.J.      91 393
Differential equations with deviated argument      378 386
Differentially algebraic functions      364
Dikof, K.-D.      468
Ditor, S.      353
Doksum, K.      467
Domain of attraction      18
Domain of attraction, maximal      20Ч23
Doney, R.A.      89
Doubly stochastic measures      138 146Ч147
Drewniak, J.      16 19 23Ч24 27 29 31 371
Drobot, V.      31
Dubikajtis, L.      392 403Ч404 455 457
Dubuc, S.      89 122 368 388 420
Dufresnoy, J.      74 91
Dugundji, J.      36 45
Durham, S.D.      89
Durrett, R.      469
Dyjak, Cz.      136 311 406
Dynamic programming equation      92Ч93
Dynamical systems      335
Eagle, A.      408 414
Ecalle, J.      122 346Ч347 350Ч351 353 355 357 368 446
Eckmann, J.P.      16 266
Edwards, W.      10Ч11
Engelking, R.      326
Equation of denumerable order      280Ч282 322Ч324
Equation of denumerable order, Lipschitzian solutions      285Ч286
Equation of linear iteration of second order      466
Equation of nth order      237Ч239
Equation of nth order with iterates of single function, reduction      261Ч262
Equation of nth order, C solutions      259Ч260
Equation of nth order, continuous solutions      259
Equation of nth order, integrable solutions      260
Equation of nth order, measurable solutions      268
Equation of nth order, with iterates of single function      260Ч263
Equations of infinite order, extending of continuous solutions in metric space      275
Equations of infinite order, extension theorem of Baron      271Ч275
Equations of infinite order, general existence-and-uniqueness theorem      276Ч279
Equations of infinite order, special      279Ч280
Equations of infinite order, special, Lipschitzian solutions      282Ч285
Equations of infinite order, special, uniqueness condition      321Ч322
Equations of infinite order, special, uniqueness implies existence      325Ч326
Equivalence under iteration      14
Erdoes, P.      347 355 357
Eremenko, A.      364
Ergodic theory, BoyarskiТs problem      266
Essentially unique solution      170
Euler constant      412 414
Euler equation of gamma function      413
Euler equation of invariant curves      466
Euler gamma function      407Ч414
Euler gamma function, complex      412
Euler gamma function, fundamental equation      407
Euler identity for sine      420
Euler, L.      183 467
Fatou conjecture      23
Fatou, P.      16Ч17 23 164 355 368
Fechner law      11
Feller, W.      81 94 225
Fenyoe, I.      184
Fine, N.J.      353
Fischer, P.      271
Fite, W.B.      271
Fixed point      3 15
Fixed point of order k      15
Fixed point, attractive      17
Fixed point, repulsive      48Ч49
Fixed point, strongly repulsive      48
Flat function      254
Flow      47
Flow, continuous      7
Flow, differentiable      47
Flow, Lebesgue measurable      47
Flow, rational      47
Foerg-Rob, W.      269
Forder, H.G.      399
Formal power series      see УFPSФ
Formally conjugate FPS      345Ч349 347 359
Fort, M.K., Jr.      460 466
Fortet, R.      501
Forti, G.L.      466
Fourier series      415Ч419
Fourier transform      183
Fox integral equation (generalized)      183Ч184
Fps      345
Fractional iterate      see УIterative rootФ
Frank, M.J.      361 371 374 378 418
Frobenius Ч Perron operator      240
Fubini, G.      393Ч394 406
Functional equations in a single variable      XV
Functional equations in several variables      XV
Galton Ч Watson process with immigration      56Ч57 83
Galton Ч Watson process, critical case      55
Galton Ч Watson process, explosive case      95
Galton Ч Watson process, simple      52 81Ч83
Galton Ч Watson process, supercritical case      95
Gantmacher, F.R.      43
Gauss multiplication theorem      410Ч412
Gaussian normal distribution      237 265Ч266
Gawel, B.      17
Gelfond, A.O.      XVI 263
General solution      4
Generic properties      143Ч144 183 194
Ger, J.      164 221 430 469
Ger, R.      49 222 244 286Ч287 290 293 305 308 329 469
Gersevanov, N.M.      11
Ghermanescu, M.      XVI 369
Giowacki, E.      293
Goebel, K.      36
Golab, S.      12 129 146
Goldstein, R.      167
Goursat problem      178Ч179
Granas, A.      36 45
Graw, R.      15 48 468
Grobman, A.M.      362
Gross, F.      164
Guckenheimer, J.      17
Gulgowska, A.      146
Gulgowski, L.      146
Gumowski, I.      XVI
Gupta, H.N.      420
Hadamard, J.      461
Haddad, G.      244
Haidukov, P.I.      422 428 451
Hairpin support      139
Halmos, P.R.      170 379
Hamilton, H.J.      16 27 69 72
Hardy, G.H.      8 415
Hartman, Ph.      335 339 362 368 460
Haruki, H.      233 398 404 412 420
Heathcote, C.R.      89 399
Herman, M.R.      353
Hincin, A.Ja.      157 180
Hirsch, M.W.      48 460
Hoppe, F.M.      69 80 89 368
Howroyd, T.D.      420 474 501
Huneke, J.Ph.      355
Idempotency equation      466
Improper integrals      396Ч397 398 404
Integral equation      146 184
Integral-functional equation      177
Invariant curves      460Ч467 471
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