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Nonlinear Functional Analysis and Its Applications
By Eberhard Zeidler
By Eberhard Zeidler
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التحليل Nonlinear Functional Analysis and Its Applications
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Oscillation Theory for Difference and Functional Differential Equations
By R.P. Agarwal, Said R. Grace, D. O'Regan
By R.P. Agarwal, Said R. Grace, D. O'Regan
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by Lynn Erbe
By Ravi P. Agarwal, Martin Bohner, Wan-Tong Li
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By Antonio Ambrosetti, Giovanni Prodi
Book Description:
Book Description:
This is an introduction to nonlinear functional analysis, in particular to those methods based on differential calculus in Banach spaces. It is in two parts; the first deals with the geometry of Banach spaces and includes a discussion of local and global inversion theorems for differential mappings. In the second part, the authors are more concerned with bifurcation theory, including the Hopf bifurcation. They include plenty of motivational and illustrative applications, which indeed provide much of the justification of nonlinear analysis. In particular, they discuss bifurcation problems arising from such areas as mechanics and fluid dynamics
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Topological Methods For Set-Valued Nonlinear Analysis
Topological Methods For Set-Valued Nonlinear Analysis | Pages: 625 | 2008-02-22 | ISBN 9812704671 | PDF | 3 MB
This book provides a comprehensive overview of the authors pioneering contributions to nonlinear set-valued analysis by topological methods. The coverage includes fixed point theory, degree theory, the KKM principle, variational inequality theory, the Nash equilibrium point in mathematical economics, the Pareto optimum in optimization, and applications to best approximation theory, partial equations and boundary value problems.
Self-contained and unified in presentation, the book considers the existence of equilibrium points of abstract economics in topological vector spaces from the viewpoint of Ky Fan minimax inequalities. It also provides the latest developments in KKM theory and degree theory for nonlinear set-valued mappings.
Contents: Contraction Mappings; Some Fixed Point Theorems in Partial Ordered Sets; Topological Fixed Point Theorems; Variational and Quasivariational Inequalities in Topological Vector Spaces and Generalized Games; Best Approximation and Fixed Point Theorems for Set-Valued Mappings in Topological Vector Spaces; Degree Theory for Set-Valued Mappings; Nonexpansive Types of Mappings and Fixed Point Theorems in Locally Convex Topological Vector Spaces
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