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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Samoĭlenko, A.M. (Anatoliĭ Mikhaĭlovich). Elements of mathematical theory of evolutionary equations in Banach spaces. New Jersey ; London : World Scientific, [2013] (OCoLC)811411002 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
A M Samoĭlenko; Yu V Teplinskii |

ISBN: | 9789814434836 9814434833 |

OCLC Number: | 854974135 |

Description: | 1 online resource (x, 397 pages). |

Contents: | Reducibility problems for difference equations -- Invariant tori of difference equations in the space M -- Periodic solutions of difference equations. Extension of solutions -- Countable-point boundary-value problems for nonlinear differential equations. |

Series Title: | World Scientific series on nonlinear science., Series A,, Monographs and treatises ;, v. 86. |

Responsibility: | Anatoly M. Samoilenko, National Academy of Sciences, Ukraine ; Yuriy V. Teplinsky, Kamyanets-Podislsky National University, Ukraine. |

### Abstract:

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant manifolds are established. Also considered are the questions on existence and approximate construction of periodic solutions for difference equations in infinite-dimensional spaces and the problem of extendibility of the solutions in degenerate cases. For nonlinear differential equations in spaces of bounded number sequences, new results are obtained in the theory of countable-point boundary-value problems. The book contains new mathematical results that will be useful towards advances in nonlinear mechanics and theoretical physics--Page 4 of cover.

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