Author | Brown, Robert F. author |
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Title | A Topological Introduction to Nonlinear Analysis [electronic resource] / by Robert F. Brown |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 2004 |
Edition | Second Edition |
Connect to | http://dx.doi.org/10.1007/978-0-8176-8124-1 |
Descript | XIII, 184 p. 12 illus. online resource |
I Fixed Point Existence Theory -- 1 The Topological Point of View -- 2 Ascoli-Arzela Theory -- 3 Brouwer Fixed Point Theory -- 4 Schauder Fixed Point Theory -- 5 The Forced Pendulum -- 6 Equilibrium Heat Distribution -- 7 Generalized Bernstein Theory -- II Degree Theory -- 8 Brouwer Degree -- 9 Properties of the Brouwer Degree -- 10 Leray-Schauder Degree -- 11 Properties of the Leray-Schauder Degree -- 12 The Mawhin Operator -- 13 The Pendulum Swings Back -- III Bifurcation Theory -- 14 A Separation Theorem -- 15 Compact Linear Operators -- 16 The Degree Calculation -- 17 The Krasnoselskii-Rabinowitz Bifurcation Theorem -- 18 Nonlinear Sturm-Liouville Theory -- 19 More Sturm-Liouville Theory -- 20 Euler Buckling -- IV Appendices -- A Singular Homology -- B Additivity and Product Properties -- C Bounded Linear Transformations -- C Bounded Linear Transformations -- References