Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.
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Bas Lemmens is a Lecturer in Mathematics at the University of Kent, Canterbury. His research interests lie in nonlinear operator theory, dynamical systems theory and metric geometry. He is one of the key developers of nonlinear Perron–Frobenius theory.
Roger Nussbaum is a Professor of Mathematics at Rutgers University. His research interests include nonlinear differential-delay equations, the theory of nonlinear positive operators and fixed point theory and its applications. He has published extensively on nonlinear Perron–Frobenius theory.
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Hardcover. Condition: new. Hardcover. In the past several decades the classical PerronFrobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear PerronFrobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear PerronFrobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear PerronFrobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology. In recent years nonlinear PerronFrobenius theory has grown into a beautiful subject with significant applications. This self-contained introduction to the topic is suitable for graduate students and researchers entering the field for the first time and provides a guide to challenging open problems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521898812
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