书目名称 | Topological Methods for Ordinary Differential Equations |
副标题 | Lectures given at th |
编辑 | Patrick Fitzpatrick,Mario Martelli,Roger Nussbaum, |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | The volume contains the texts of four courses, given bythe authors at asummer school that sought to present thestate of the art in the growingfield of topological methodsin the theory of o.d.e. (in finite and infinitedimension),and to provide a forum for discussion of the wide variety ofmathematical tools which are involved. The topics coveredrange from the extensions of the Lefschetz fixed point andthe fixed point index onANR‘s, to the theory of parity ofone-parameter families of Fredholmoperators, and from thetheory of coincidence degree for mappings on Banach spacesto homotopy methods for continuation principles.CONTENTS: P.Fitzpatrick: The parity as an invariant fordetecting bifurcation of thezeroes of one parameterfamilies of nonlinear Fredholm maps.- M.Martelli:Continuation principles and boundary value problems.- J.Mawhin: Topological degree and boundary value problems fornonlinear differential equations.- R.D. Nussbaum: The fixedpoint index and fixed point theorems. |
出版日期 | Book 1993 |
关键词 | Boundary value problem; Topological methods; differential equation; fixed point index; fredholm operator |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0085073 |
isbn_softcover | 978-3-540-56461-4 |
isbn_ebook | 978-3-540-47563-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1993 |