00000cam a22000004i 4500 UP-1685594773861372377 Buklod 20070906151614.0 g||| | || || ta 180228s2004 maua rb |||1 u|eng d 0817632581 (pbk. : alk. paper) (iLib)UPBAG-00000021242 BC-50317 Php2,208.00 DLC BAG rda eng QA 321.5 B79 2004 Brown, Robert F. 1935- author. A topological introduction to nonlinear analysis Robert F. Brown. Second edition. Boston Birkhèauser [2004] xi, 184 pages illustrations 24 cm text rdacontent unmediated rdamedia volume rdacarrier Includes bibliographical references (page [181]) and index. 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. Nonlinear functional analysis. FO UPBAG UPBAG-MAIN QA 321.5 B79 2004 Book