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Spectral Theory and Nonlinear Functional Analysis
ISBN-13:
9781420035506
Veröffentl:
2001
Seiten:
280
Autor:
Julian Lopez-Gomez
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
2 - DRM Adobe
Sprache:
Englisch
Beschreibung:
This Research Note addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators. Appealing to a broad audience, it contains many important contributions to linear algebra, linear functional analysis, nonlinear functional analysis, and topology. The author gives several applications of the abstract theory to reaction diffusion equations and systems. The results presented cover a thirty-year period and cut across a variety of mathematical fields.
Introduction. Bifurcation from Simple Eigenvalues. First General Bifurcation Results. The Algebraic Multiplicity. Fundamental Properties of the Multiplicity. Global Bifurcation Theory. Some Applications. Bibliography.
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