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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Hansjörg Kielhöfer |

ISBN: | 0387404015 9780387404011 |

OCLC Number: | 904554925 |

Description: | vii, 346 pages : illustrations ; 25 cm. |

Contents: | I. Local Theory -- II. Global Theory -- III. Applications. |

Series Title: | Applied mathematical sciences (Springer-Verlag New York Inc.), v. 156. |

Responsibility: | Hansjorg Kielhofer. |

### Abstract:

"In the past three decades, bifurcation theory has matured into a well-established and vibrant branch of mathematics. This book gives a unified presentation in an abstract setting of main theorems in bifurcation theory, as well as more recent and lesser-known results. It covers both the local and global theory of one-parameter bifurcations for operators acting in infinite-dimensional Banach spaces, and shows how to apply the theory to problems involving partial differential equations (PDEs). In addition to existence, qualitative properties such as stability and nodal structure of bifurcating solutions are treated in depth."--BOOK JACKET.

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