Note: Supplemental materials are not guaranteed with Rental or Used book purchases.
- ISBN: 9780444511287 | 0444511288
- Cover: Hardcover
- Copyright: 8/1/2004
The book contains seven survey papers about ordinary differential equations. The common feature of all papers consists in the fact that nonlinear equations are focused on. This reflects the situation in modern mathematical modelling - nonlinear mathematical models are more realistic and describe the real world problems more accurately. The implications are that new methods and approaches have to be looked for, developed and adopted in order to understand and solve nonlinear ordinary differential equations. The purpose of this volume is to inform the mathematical community and also other scientists interested in and using the mathematical apparatus of ordinary differential equations, about some of these methods and possible applications.
Preface | v | ||||
List of Contributors | vii | ||||
1. A survey of recent results for initial and boundary value problems singular in the dependent variable | 1 | (68) | |||
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3 | (5) | |||
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8 | (43) | |||
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8 | (14) | |||
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22 | (29) | |||
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51 | (16) | |||
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67 | (2) | |||
2. The lower and upper solutions method for boundary value problems | 69 | (92) | |||
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71 | (2) | |||
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73 | (21) | |||
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73 | (6) | |||
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79 | (4) | |||
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83 | (6) | |||
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89 | (1) | |||
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90 | (2) | |||
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92 | (2) | |||
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94 | (21) | |||
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94 | (7) | |||
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101 | (7) | |||
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108 | (6) | |||
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114 | (1) | |||
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115 | (20) | |||
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115 | (6) | |||
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121 | (13) | |||
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134 | (1) | |||
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135 | (22) | |||
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135 | (2) | |||
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137 | (8) | |||
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145 | (7) | |||
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152 | (2) | |||
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154 | (3) | |||
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157 | (4) | |||
3. Half-linear differential equations | 161 | (198) | |||
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165 | (2) | |||
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167 | (30) | |||
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167 | (4) | |||
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167 | (1) | |||
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168 | (1) | |||
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169 | (1) | |||
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170 | (1) | |||
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171 | (9) | |||
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171 | (1) | |||
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172 | (2) | |||
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174 | (1) | |||
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174 | (2) | |||
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176 | (1) | |||
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177 | (1) | |||
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178 | (1) | |||
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178 | (2) | |||
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180 | (3) | |||
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180 | (1) | |||
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181 | (1) | |||
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182 | (1) | |||
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183 | (14) | |||
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183 | (5) | |||
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188 | (6) | |||
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194 | (3) | |||
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197 | (58) | |||
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197 | (18) | |||
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197 | (1) | |||
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198 | (2) | |||
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200 | (3) | |||
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203 | (3) | |||
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206 | (2) | |||
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208 | (1) | |||
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209 | (5) | |||
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214 | (1) | |||
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215 | (14) | |||
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215 | (3) | |||
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218 | (6) | |||
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224 | (2) | |||
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226 | (3) | |||
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229 | (12) | |||
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229 | (2) | |||
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231 | (1) | |||
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232 | (2) | |||
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234 | (1) | |||
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235 | (1) | |||
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236 | (4) | |||
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240 | (1) | |||
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241 | (1) | |||
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241 | (14) | |||
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241 | (1) | |||
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242 | (4) | |||
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246 | (2) | |||
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248 | (1) | |||
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249 | (3) | |||
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252 | (3) | |||
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255 | (58) | |||
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255 | (20) | |||
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255 | (1) | |||
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256 | (5) | |||
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261 | (2) | |||
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263 | (1) | |||
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264 | (2) | |||
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266 | (2) | |||
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268 | (2) | |||
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270 | (2) | |||
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272 | (3) | |||
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275 | (18) | |||
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275 | (4) | |||
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279 | (4) | |||
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283 | (1) | |||
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284 | (2) | |||
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286 | (7) | |||
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293 | (9) | |||
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293 | (2) | |||
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295 | (5) | |||
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300 | (2) | |||
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302 | (11) | |||
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302 | (1) | |||
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303 | (1) | |||
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304 | (4) | |||
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308 | (2) | |||
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310 | (3) | |||
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313 | (48) | |||
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313 | (9) | |||
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313 | (1) | |||
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314 | (1) | |||
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315 | (2) | |||
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317 | (2) | |||
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319 | (2) | |||
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321 | (1) | |||
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322 | (7) | |||
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323 | (3) | |||
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326 | (1) | |||
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327 | (2) | |||
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329 | (8) | |||
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330 | (3) | |||
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333 | (2) | |||
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335 | (1) | |||
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336 | (1) | |||
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337 | (12) | |||
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338 | (3) | |||
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341 | (2) | |||
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343 | (2) | |||
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345 | (3) | |||
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348 | (1) | |||
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349 | (10) | |||
4. Radial solutions of quasilinear elliptic differential equations | 359 | (78) | |||
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361 | (2) | |||
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363 | (29) | |||
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363 | (1) | |||
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364 | (25) | |||
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389 | (3) | |||
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392 | (13) | |||
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393 | (3) | |||
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396 | (4) | |||
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400 | (5) | |||
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405 | (7) | |||
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405 | (1) | |||
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406 | (3) | |||
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409 | (3) | |||
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412 | (7) | |||
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414 | (4) | |||
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418 | (1) | |||
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419 | (5) | |||
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421 | (1) | |||
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422 | (2) | |||
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424 | (3) | |||
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427 | (4) | |||
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431 | (6) | |||
5. Integrability of polynomial differential systems | 437 | (96) | |||
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439 | (94) | |||
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440 | (1) | |||
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441 | (1) | |||
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442 | (2) | |||
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444 | (2) | |||
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446 | (2) | |||
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448 | (4) | |||
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452 | (2) | |||
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454 | (6) | |||
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460 | (6) | |||
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466 | (9) | |||
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475 | (5) | |||
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480 | (5) | |||
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485 | (2) | |||
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487 | (4) | |||
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491 | (9) | |||
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500 | (3) | |||
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503 | (11) | |||
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514 | (4) | |||
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518 | (10) | |||
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519 | (1) | |||
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520 | (4) | |||
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524 | (4) | |||
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528 | (5) | |||
6. Global results for the forced pendulum equation | 533 | (58) | |||
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535 | (2) | |||
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537 | (4) | |||
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537 | (2) | |||
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539 | (1) | |||
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540 | (1) | |||
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541 | (24) | |||
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541 | (2) | |||
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543 | (3) | |||
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546 | (5) | |||
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551 | (3) | |||
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554 | (4) | |||
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558 | (2) | |||
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560 | (2) | |||
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562 | (1) | |||
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563 | (2) | |||
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565 | (6) | |||
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565 | (1) | |||
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566 | (4) | |||
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570 | (1) | |||
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571 | (6) | |||
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571 | (3) | |||
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574 | (3) | |||
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577 | (5) | |||
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577 | (1) | |||
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577 | (1) | |||
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578 | (2) | |||
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580 | (2) | |||
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582 | (3) | |||
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582 | (1) | |||
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583 | (2) | |||
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585 | (6) | |||
7. Waewski method and Conley index | 591 | (94) | |||
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593 | (9) | |||
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593 | (1) | |||
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594 | (6) | |||
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600 | (1) | |||
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601 | (1) | |||
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602 | (8) | |||
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602 | (3) | |||
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605 | (1) | |||
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606 | (4) | |||
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610 | (10) | |||
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610 | (4) | |||
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614 | (2) | |||
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616 | (1) | |||
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617 | (3) | |||
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620 | (6) | |||
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620 | (1) | |||
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621 | (5) | |||
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626 | (10) | |||
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626 | (1) | |||
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627 | (2) | |||
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629 | (1) | |||
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630 | (2) | |||
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632 | (2) | |||
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634 | (2) | |||
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636 | (2) | |||
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636 | (1) | |||
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637 | (1) | |||
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637 | (1) | |||
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638 | (20) | |||
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638 | (4) | |||
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642 | (6) | |||
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648 | (3) | |||
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651 | (1) | |||
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652 | (6) | |||
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658 | (9) | |||
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659 | (3) | |||
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662 | (2) | |||
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664 | (3) | |||
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667 | (13) | |||
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667 | (4) | |||
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671 | (4) | |||
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675 | (5) | |||
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680 | (1) | |||
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680 | (5) | |||
Author Index | 685 | (8) | |||
Subject Index | 693 |
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