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Aleksei Filippov (mathematician)

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in 1961 which was used in Moscow State University and many other Russian universities for several decades. In 1959 he published a paper containing a
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S. Nababan (1979) "A Filippov-type lemma for functions involving delays and its application to time-delayed optimal control problems",
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Filippov made an important contribution in the theory of discontinuous ordinary differential equations with his monograph
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in 1950 when he constructed a proof that they divide a plane into interior and exterior parts. Known as the
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Izobov, N. A.; et al. (1998) "Alekseĭ Fedorovich Filippov" (on the occasion of his 75th anniversary).
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A.F. Filippov (1959) "On certain questions in the theory of optimal control", Journal of the
266: 231: 205: 473: 404: 389: 17: 470: 401: 386: 346: 285: 335: 278: 210: 43: 519: 466: 120: 292:, it exemplifies a mathematical proposition easily stated but difficult to prove. 458: 238:; 29 September 1923 – 10 October 2006) was a Russian mathematician who worked on 247: 188: 47: 488: 304: 262: 281:, and became a professor in 1978. He taught until his death in 2006. 258: 142: 138: 116: 334:, an important class of feedback control systems demonstrating 26: 295:
In 1955 Filippov and V. S. Ryaben'kii became interested in
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Differential Equations with Discontinuous Righthand Sides
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Differential Equations with Discontinuous Righthand Sides
59: 330:(1985). Such set-valued dynamical systems arise in 204: 194: 184: 167: 157: 149: 127: 102: 95: 503:Russian Encyclopedia: Filippov, Aleksei Fedorovich 434:Proceedings of the American Mathematical Society 446:Journal of Optimization Theory and Applications 417:Society for Industrial and Applied Mathematics 8: 428:E.J. McShane & R.B. Warfield Jr. (1967) 92: 541:Soviet military personnel of World War II 341:A. F. Filippov was awarded the 78:Learn how and when to remove this message 301:On the Stability of Difference Equations 54:Relevant discussion may be found on the 367:An elementary proof of Jordan's theorem 358: 430:On Filippov's Implicit Functions Lemma 7: 275:Faculty of Mechanics and Mathematics 526:20th-century Russian mathematicians 25: 90:Russian mathematician (1923–2006) 303:. The work was developed into a 261:in 1923, Filippov served in the 31: 498:All-Russian Mathematical Portal 375:All-Russian Mathematical Portal 60:check for citation inaccuracies 536:Moscow State University alumni 371:Uspekhi Matematischeskikh Nauk 1: 493:Mathematics Genealogy Project 385:Review by W.J. Trjitzinsky: 284:Filippov showed interest in 223:Aleksei Fedorovich Filippov 18:Aleksei Fedorovich Filippov 567: 463:Kluwer Academic Publishers 419:Control, Series A, 1:76–84 400:U.W. Hochstrasser review: 236:Алексей Фёдорович Филиппов 319:that is named after him ( 279:I. G. Petrovsky 235: 216: 177: 469:, review by J. Jarník: 373:5(39):173–6, link from 343:Moscow State University 271:Moscow State University 244:differential inclusions 199:Moscow State University 162:Moscow State University 512:34, no. 10, 1297–1302. 510:Differential Equations 317:optimal control theory 240:differential equations 531:Soviet mathematicians 457:A.F. Filippov (1985) 365:A.F. Filippov (1950) 332:sliding mode control 315:designed for use in 297:difference equations 290:Jordan curve theorem 173:Curve theorem proof 97:Aleksei F. Filippov 313:implicit functions 248:diffraction theory 252:numerical methods 220: 219: 211:Ivan G. Petrovsky 179:Scientific career 113:29 September 1923 88: 87: 80: 16:(Redirected from 558: 489:Aleksei Filippov 476: 455: 449: 442: 436: 426: 420: 413: 407: 398: 392: 383: 377: 363: 321:Filippov's lemma 286:continuous loops 269:, then attended 267:Second World War 237: 230: 206:Doctoral advisor 171:Filippov's lemma 134: 112: 110: 93: 83: 76: 72: 69: 63: 35: 34: 27: 21: 566: 565: 561: 560: 559: 557: 556: 555: 516: 515: 485: 480: 479: 456: 452: 443: 439: 427: 423: 414: 410: 399: 395: 384: 380: 364: 360: 355: 347:Lomonosov Award 226: 172: 158:Alma mater 145: 136: 132: 131:10 October 2006 123: 114: 108: 106: 98: 91: 84: 73: 67: 64: 53: 36: 32: 23: 22: 15: 12: 11: 5: 564: 562: 554: 553: 548: 543: 538: 533: 528: 518: 517: 514: 513: 506: 500: 495: 484: 483:External links 481: 478: 477: 450: 437: 421: 408: 393: 378: 357: 356: 354: 351: 336:robust control 218: 217: 214: 213: 208: 202: 201: 196: 192: 191: 186: 182: 181: 175: 174: 169: 168:Known for 165: 164: 159: 155: 154: 151: 147: 146: 137: 135:(aged 83) 129: 125: 124: 115: 104: 100: 99: 96: 89: 86: 85: 39: 37: 30: 24: 14: 13: 10: 9: 6: 4: 3: 2: 563: 552: 549: 547: 544: 542: 539: 537: 534: 532: 529: 527: 524: 523: 521: 511: 507: 504: 501: 499: 496: 494: 490: 487: 486: 482: 475: 472: 468: 464: 460: 454: 451: 447: 441: 438: 435: 431: 425: 422: 418: 412: 409: 406: 403: 397: 394: 391: 388: 382: 379: 376: 372: 368: 362: 359: 352: 350: 348: 344: 339: 337: 333: 329: 324: 322: 318: 314: 310: 306: 302: 298: 293: 291: 287: 282: 280: 276: 272: 268: 264: 260: 255: 253: 249: 245: 241: 233: 229: 224: 215: 212: 209: 207: 203: 200: 197: 193: 190: 187: 183: 180: 176: 170: 166: 163: 160: 156: 152: 148: 144: 140: 130: 126: 122: 118: 105: 101: 94: 82: 79: 71: 61: 57: 51: 49: 45: 40:This article 38: 29: 28: 19: 509: 505:(in Russian) 467:Google Books 465:, link from 453: 448:27(3):357–76 445: 440: 433: 424: 411: 396: 381: 370: 361: 340: 327: 325: 320: 300: 294: 283: 256: 222: 221: 195:Institutions 178: 133:(2006-10-10) 121:Soviet Union 74: 65: 46:that do not 42:may contain 41: 551:2006 deaths 546:1923 births 265:during the 189:Mathematics 150:Nationality 520:Categories 353:References 299:and wrote 109:1923-09-29 68:March 2023 349:in 1993. 228:‹See Tfd› 58:. Please 56:talk page 44:citations 305:textbook 263:Red Army 257:Born in 50:the text 491:at the 474:0790682 405:0090757 390:0068009 232:Russian 153:Russian 311:about 259:Moscow 185:Fields 143:Russia 139:Moscow 117:Moscow 48:verify 309:lemma 250:and 128:Died 103:Born 345:'s 323:). 522:: 471:MR 461:, 432:, 402:MR 387:MR 369:, 254:. 246:, 242:, 234:: 141:, 119:, 273:( 225:( 111:) 107:( 81:) 75:( 70:) 66:( 62:. 52:. 20:)

Index

Aleksei Fedorovich Filippov
citations
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Moscow
Soviet Union
Moscow
Russia
Moscow State University
Mathematics
Moscow State University
Doctoral advisor
Ivan G. Petrovsky
‹See Tfd›
Russian
differential equations
differential inclusions
diffraction theory
numerical methods
Moscow
Red Army
Second World War
Moscow State University
Faculty of Mechanics and Mathematics
I. G. Petrovsky
continuous loops
Jordan curve theorem
difference equations

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