Download or read book The First 60 Years of Nonlinear Analysis of Jean Mawhin written by Manuel Delgado and published by World Scientific. This book was released on 2004 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birthday, a group of mathematicians gathered in Sevilla, Spain, in April 2003 to honor his mathematical achievements as well as his unique personality. This book provides an extraordinary view of a number of ground-breaking ideas and methods in nonlinear analysis and differential equations. List of Contributors: H Amann, M Delgado, J L Gimez, A M Krasnoselskij, E Liz, J Mawhin, P Quittner, B P Rynne, L Sanchez, K Schmitt, J R Ward, F Zanolin, and others. Contents: A Priori Bounds for the Positive Solutions of Super-Linear Indefinite Weighted Elliptic Problems (S Cano-Casanova); Parametric Excitation in a Predator-Prey Model (A C Casal & A S Somolinos); Reasons for a Homage (M Delgado); Bifurcation through Higher Order Terms for Problems at Resonance (M Garc a-Huidobro et al.); Malthus, Verhulst, and the Metasolutions (J Lpez-Gmez); Axiomatizing the Algebraic Multiplicity (C Mora-Corral); Instability of Periodic Solutions Obtained by Minimization (R Ortega); Periodic Solutions of Second Order Equations OCo A Variational Approach (K Schmitt); Some Indefinite Nonlinear Eigenvalue Problems (A Suirez); and other papers. Readership: Researchers in the fields of ordinary differential equations, partial differential equations and nonlinear analysis."
Download or read book The First 60 Years Of Nonlinear Analysis Of Jean Mawhin written by Manuel Delgado and published by World Scientific. This book was released on 2004-06-29 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis. On the occasion of his sixtieth birthday, a group of mathematicians gathered in Sevilla, Spain, in April 2003 to honor his mathematical achievements as well as his unique personality.This book provides an extraordinary view of a number of ground-breaking ideas and methods in nonlinear analysis and differential equations.List of Contributors: H Amann, M Delgado, J L Gámez, A M Krasnoselskij, E Liz, J Mawhin, P Quittner, B P Rynne, L Sanchez, K Schmitt, J R Ward, F Zanolin, and others.
Download or read book Brouwer Degree written by George Dinca and published by Springer Nature. This book was released on 2021-05-11 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis. The authors define the degree using an analytical approach proposed by Heinz in 1959 and further developed by Mawhin in 2004, linking it to the Kronecker index and employing the language of differential forms. The chapters are organized so that they can be approached in various ways depending on the interests of the reader. Unifying this structure is the central role the Brouwer degree plays in nonlinear analysis, which is illustrated with existence, surjectivity, and fixed point theorems for nonlinear mappings. Special attention is paid to the computation of the degree, as well as to the wide array of applications, such as linking, differential and partial differential equations, difference equations, variational and hemivariational inequalities, game theory, and mechanics. Each chapter features bibliographic and historical notes, and the final chapter examines the full history. Brouwer Degree will serve as an authoritative reference on the topic and will be of interest to professional mathematicians, researchers, and graduate students.
Download or read book Applied Delay Differential Equations written by Thomas Erneux and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Differential Equations Stationary Partial Differential Equations written by Michel Chipot and published by Elsevier. This book was released on 2005-08-19 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other. Key features: - Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field. - Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field.
Download or read book Progress in Variational Methods written by Chungen Liu and published by World Scientific. This book was released on 2010 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from different angles. This volume contains articles based on lectures in the following areas of nonlinear analysis: critical point theory, Hamiltonian dynamics, partial differential equations and systems, KAM theory, bifurcation theory, symplectic geometry, geometrical analysis, and celestial mechanics. Combinations of topological, analytical (especially variational), geometrical, and algebraic methods in these researches play important roles. In this proceedings, introductory materials on new theories and surveys on traditional topics are also given. Further perspectives and open problems on hopeful research topics in related areas are described and proposed. Researchers, graduate and postgraduate students from a wide range of areas in mathematics and physics will find contents in this proceedings are helpful.
Download or read book Ten Mathematical Essays on Approximation in Analysis and Topology written by Juan Ferrera and published by Elsevier. This book was released on 2005-04-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century. Besides the papers contain the very ultimate results in each of their respective fields, many of them also include a series of historical remarks about the state of mathematics at the time they found their most celebrated results, as well as some of their personal circumstances originating them, which makes particularly attractive the book for all scientist interested in these fields, from beginners to experts. These gem pieces of mathematical intra-history should delight to many forthcoming generations of mathematicians, who will enjoy some of the most fruitful mathematics of the last third of 20th century presented by their own authors. This book covers a wide range of new mathematical results. Among them, the most advanced characterisations of very weak versions of the classical maximum principle, the very last results on global bifurcation theory, algebraic multiplicities, general dependencies of solutions of boundary value problems with respect to variations of the underlying domains, the deepest available results in rapid monotone schemes applied to the resolution of non-linear boundary value problems, the intra-history of the the genesis of the first general global continuation results in the context of periodic solutions of nonlinear periodic systems, as well as the genesis of the coincidence degree, some novel applications of the topological degree for ascertaining the stability of the periodic solutions of some classical families of periodic second order equations, the resolution of a number of conjectures related to some very celebrated approximation problems in topology and inverse problems, as well as a number of applications to engineering, an extremely sharp discussion of the problem of approximating topological spaces by polyhedra using various techniques based on inverse systems, as well as homotopy expansions, and the Bishop-Phelps theorem. Key features: - It contains a number of seminal contributions by some of the most world leading mathematicians of the second half of the 20th Century. - The papers cover a complete range of topics, from the intra-history of the involved mathematics to the very last developments in Differential Equations, Inverse Problems, Analysis, Nonlinear Analysis and Topology. - All contributed papers are self-contained works containing rather complete list of references on each of the subjects covered. - The book contains some of the very last findings concerning the maximum principle, the theory of monotone schemes in nonlinear problems, the theory of algebraic multiplicities, global bifurcation theory, dynamics of periodic equations and systems, inverse problems and approximation in topology. - The papers are extremely well written and directed to a wide audience, from beginners to experts. An excellent occasion to become engaged with some of the most fruitful mathematics developed during the last decades.
Download or read book Lotka Volterra and Related Systems written by Shair Ahmad and published by Walter de Gruyter. This book was released on 2013-05-28 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.
Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2007 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonsmooth Variational Problems and Their Inequalities written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2007-06-07 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph focuses primarily on nonsmooth variational problems that arise from boundary value problems with nonsmooth data and/or nonsmooth constraints, such as multivalued elliptic problems, variational inequalities, hemivariational inequalities, and their corresponding evolution problems. It provides a systematic and unified exposition of comparison principles based on a suitably extended sub-supersolution method.
Download or read book Algebraic Multiplicity of Eigenvalues of Linear Operators written by Julián López-Gómez and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families. Coverage next transfers these results from linear to nonlinear analysis.
Download or read book Metasolutions of Parabolic Equations in Population Dynamics written by Julián López-Gómez and published by CRC Press. This book was released on 2015-10-28 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the latest developments in the theory of nonlinear parabolic problems. The book reveals how to mathematically determine if a species maintains, dwindles, or increases under certain circumstances. It explains how to predict the time evolution of species inhabiting regions governed by either logistic growth or exponential growth. The book studies the possibility that the species grows according to the Malthus law while it simultaneously inherits a limited growth in other regions. The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems. Each chapter presents the mathematical formulation of the problem, the most important mathematical results available, and proofs of theorems where relevant.
Download or read book Advances in Mathematical Sciences and Applications written by and published by . This book was released on 2008 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin of the Belgian Mathematical Society Simon Stevin written by and published by . This book was released on 2006 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Primer of Nonlinear Analysis written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 1995-03-09 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an elementary and self-contained introduction to nonlinear functional analysis and its applications, especially in bifurcation theory.
Download or read book Implicit Partial Differential Equations written by Bernard Dacorogna and published by Springer Science & Business Media. This book was released on 1999-08-01 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.
