A topological introduction to nonlinear analysis / Robert F. Brown.

By: Brown, Robert F, 1935-Material type: TextTextBoston : Birkhauser, c2004Edition: 2nd edDescription: xi, 184 p. : ill. ; 24 cmISBN: 0817632581 (pbk. : alk. paper); 3764332581 (Basel : alk. paper)Subject(s): Nonlinear functional analysisDDC classification: 515/.7 LOC classification: QA321.5 | .B79 2004
Contents:
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.
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Foreign books Al Murabaa Library (Men) - مكتبة المربع (رجال)
515.7 B.R.T (Browse shelf) ver.2 Available e63606
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Includes bibliographical references (p. [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.

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