A topological introduction to nonlinear analysis /
General Material Designation
[Book]
First Statement of Responsibility
Robert F. Brown.
EDITION STATEMENT
Edition Statement
2nd ed.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston :
Name of Publisher, Distributor, etc.
Birkhäuser,
Date of Publication, Distribution, etc.
c2004.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xi, 184 p. :
Other Physical Details
ill. ;
Dimensions
24 cm.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. [181]) and index.
CONTENTS NOTE
Text of Note
Fixed point existence theory. The topological point of view ; Ascoli-arzela theory ; Brouwer fixed point theory ; Schauder fixed point theory ; The forced pendulum ; Equilibrium heat distribution ; Generalized Bernstein theory -- Degree theory. Brouwer degree ; Properties of the Brouwer Degree ; Leray-Schauder degree ; Properties of the Leray-Schauder Degree ; The Mawhin operator ; The pendulum swings back -- Bifurcation theory. A separation theorem ; Compact linear operators ; The degree calculation ; The Krasnoselskii-Rabinowitz bifurcation theorem ; Nonlinear Sturm-Liouville theory ; More Sturm-Liouville theory ; Euler buckling -- Appendices. Singular homology ; Additivity and product properties ; Bounded linear transformations.