Abstract Differential Equations And Nonlinear Mixed Problems

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Nonlinear Problems in Abstract Cones

Author : Dajun Guo
Publisher : Academic Press
ISBN 13 : 1483261905
Total Pages : 286 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Nonlinear Problems in Abstract Cones by : Dajun Guo

Download or read book Nonlinear Problems in Abstract Cones written by Dajun Guo and published by Academic Press. This book was released on 2014-05-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Notes and Reports in Mathematics in Science and Engineering, Volume 5: Nonlinear Problems in Abstract Cones presents the investigation of nonlinear problems in abstract cones. This book uses the theory of cones coupled with the fixed point index to investigate positive fixed points of various classes of nonlinear operators. Organized into four chapters, this volume begins with an overview of the fundamental properties of cones coupled with the fixed point index. This text then employs the fixed point theory developed to discuss positive solutions of nonlinear integral equations. Other chapters consider several examples from integral and differential equations to illustrate the abstract results. This book discusses as well the fixed points of increasing and decreasing operators. The final chapter deals with the development of the theory of nonlinear differential equations in cones. This book is a valuable resource for graduate students in mathematics. Mathematicians and researchers will also find this book useful.

Abstract Differential Equations and Nonlinear Mixed Problems

Author : Tosio Katō
Publisher :
ISBN 13 :
Total Pages : 87 pages
Book Rating : 4.:/5 (219 download)

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Book Synopsis Abstract Differential Equations and Nonlinear Mixed Problems by : Tosio Katō

Download or read book Abstract Differential Equations and Nonlinear Mixed Problems written by Tosio Katō and published by . This book was released on 1985 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Analysis, Differential Equations, and Applications

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030725634
Total Pages : 791 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Analysis, Differential Equations, and Applications by : Themistocles M. Rassias

Download or read book Nonlinear Analysis, Differential Equations, and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-08-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.

Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 820 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Nonlinear Evolution Equations

Author : Reinhard Racke
Publisher : Birkhäuser
ISBN 13 : 3319218735
Total Pages : 315 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Lectures on Nonlinear Evolution Equations by : Reinhard Racke

Download or read book Lectures on Nonlinear Evolution Equations written by Reinhard Racke and published by Birkhäuser. This book was released on 2015-08-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mainly serves as an elementary, self-contained introduction to several important aspects of the theory of global solutions to initial value problems for nonlinear evolution equations. The book employs the classical method of continuation of local solutions with the help of a priori estimates obtained for small data. The existence and uniqueness of small, smooth solutions that are defined for all values of the time parameter are investigated. Moreover, the asymptotic behaviour of the solutions is described as time tends to infinity. The methods for nonlinear wave equations are discussed in detail. Other examples include the equations of elasticity, heat equations, the equations of thermoelasticity, Schrödinger equations, Klein-Gordon equations, Maxwell equations and plate equations. To emphasize the importance of studying the conditions under which small data problems offer global solutions, some blow-up results are briefly described. Moreover, the prospects for corresponding initial boundary value problems and for open questions are provided. In this second edition, initial-boundary value problems in waveguides are additionally considered.

Nonlinear Evolution Equations

Author : Songmu Zheng
Publisher : CRC Press
ISBN 13 : 0203492226
Total Pages : 303 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Nonlinear Evolution Equations by : Songmu Zheng

Download or read book Nonlinear Evolution Equations written by Songmu Zheng and published by CRC Press. This book was released on 2004-07-08 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator

Differential Equations with Applications in Biology, Physics, and Engineering

Author : Jerome A. Goldstein
Publisher : Routledge
ISBN 13 : 1351455184
Total Pages : 353 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Differential Equations with Applications in Biology, Physics, and Engineering by : Jerome A. Goldstein

Download or read book Differential Equations with Applications in Biology, Physics, and Engineering written by Jerome A. Goldstein and published by Routledge. This book was released on 2017-10-05 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable as a textbook for a graduate seminar in mathematical modelling, and as a resource for scientists in a wide range of disciplines. Presents 22 lectures from an international conference in Leibnitz, Austria (no date mentioned), explaining recent developments and results in differential equatio

Operators, Semigroups, Algebras and Function Theory

Author : Yemon Choi
Publisher : Springer Nature
ISBN 13 : 3031380207
Total Pages : 262 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Operators, Semigroups, Algebras and Function Theory by : Yemon Choi

Download or read book Operators, Semigroups, Algebras and Function Theory written by Yemon Choi and published by Springer Nature. This book was released on 2023-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects contributions from participants in the IWOTA conference held virtually at Lancaster, UK, originally scheduled in 2020 but postponed to August 2021. It includes both survey articles and original research papers covering some of the main themes of the meeting.

Wave Phenomena

Author : Willy Dörfler
Publisher : Springer Nature
ISBN 13 : 3031057937
Total Pages : 368 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Wave Phenomena by : Willy Dörfler

Download or read book Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2023-03-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Technical Abstract Bulletin

Author :
Publisher :
ISBN 13 :
Total Pages : 908 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Technical Abstract Bulletin by :

Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MEAN FIELD THEORIES AND DUAL VARIATION

Author : Takashi Suzuki
Publisher : Springer Science & Business Media
ISBN 13 : 9491216228
Total Pages : 299 pages
Book Rating : 4.4/5 (912 download)

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Book Synopsis MEAN FIELD THEORIES AND DUAL VARIATION by : Takashi Suzuki

Download or read book MEAN FIELD THEORIES AND DUAL VARIATION written by Takashi Suzuki and published by Springer Science & Business Media. This book was released on 2009-01-01 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: A mathematical theory is introduced in this book to unify a large class of nonlinear partial differential equation (PDE) models for better understanding and analysis of the physical and biological phenomena they represent. The so-called mean field approximation approach is adopted to describe the macroscopic phenomena from certain microscopic principles for this unified mathematical formulation. Two key ingredients for this approach are the notions of “duality” according to the PDE weak solutions and “hierarchy” for revealing the details of the otherwise hidden secrets, such as physical mystery hidden between particle density and field concentration, quantized blow up biological mechanism sealed in chemotaxis systems, as well as multi-scale mathematical explanations of the Smoluchowski–Poisson model in non-equilibrium thermodynamics, two-dimensional turbulence theory, self-dual gauge theory, and so forth. This book shows how and why many different nonlinear problems are inter-connected in terms of the properties of duality and scaling, and the way to analyze them mathematically.

Qualitative Aspects And Applications Of Nonlinear Evolution Equations - Proceedings Of The Workshop

Author : H Beirao Da Veiga
Publisher : World Scientific
ISBN 13 : 981455166X
Total Pages : 230 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Qualitative Aspects And Applications Of Nonlinear Evolution Equations - Proceedings Of The Workshop by : H Beirao Da Veiga

Download or read book Qualitative Aspects And Applications Of Nonlinear Evolution Equations - Proceedings Of The Workshop written by H Beirao Da Veiga and published by World Scientific. This book was released on 1994-05-31 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction for graduate students and advanced undergraduate students to the field of astrophysical fluid dynamics. Although sometimes ignored, fluid dynamical processes play a central role in virtually all areas of astrophysics.No previous knowledge of fluid dynamics is assumed. After establishing the basic equations of fluid dynamics and the physics relevant to an astrophysical application, a variety of topics in the field are addressed. There is also a chapter introducing the reader to numerical methods. Appendices list useful physical constants and astronomical quantities, and provide handy reference material on Cartesian tensors, vector calculus in polar coordinates, self-adjoint eigenvalue problems and JWKB theory./a

Introduction to Non-linear Algebra

Author : Valeri? Valer?evich Dolotin
Publisher : World Scientific
ISBN 13 : 9812708006
Total Pages : 286 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Introduction to Non-linear Algebra by : Valeri? Valer?evich Dolotin

Download or read book Introduction to Non-linear Algebra written by Valeri? Valer?evich Dolotin and published by World Scientific. This book was released on 2007 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Literaturverz. S. 267 - 269

Linear and Quasi-linear Evolution Equations in Hilbert Spaces

Author : Pascal Cherrier
Publisher : American Mathematical Society
ISBN 13 : 1470471442
Total Pages : 400 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Linear and Quasi-linear Evolution Equations in Hilbert Spaces by : Pascal Cherrier

Download or read book Linear and Quasi-linear Evolution Equations in Hilbert Spaces written by Pascal Cherrier and published by American Mathematical Society. This book was released on 2022-07-14 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers evolution equations of hyperbolic and parabolic type. These equations are studied from a common point of view, using elementary methods, such as that of energy estimates, which prove to be quite versatile. The authors emphasize the Cauchy problem and present a unified theory for the treatment of these equations. In particular, they provide local and global existence results, as well as strong well-posedness and asymptotic behavior results for the Cauchy problem for quasi-linear equations. Solutions of linear equations are constructed explicitly, using the Galerkin method; the linear theory is then applied to quasi-linear equations, by means of a linearization and fixed-point technique. The authors also compare hyperbolic and parabolic problems, both in terms of singular perturbations, on compact time intervals, and asymptotically, in terms of the diffusion phenomenon, with new results on decay estimates for strong solutions of homogeneous quasi-linear equations of each type. This textbook presents a valuable introduction to topics in the theory of evolution equations, suitable for advanced graduate students. The exposition is largely self-contained. The initial chapter reviews the essential material from functional analysis. New ideas are introduced along with their context. Proofs are detailed and carefully presented. The book concludes with a chapter on applications of the theory to Maxwell's equations and von Karman's equations.

On Some Applications of Diophantine Approximations

Author : Umberto Zannier
Publisher : Springer
ISBN 13 : 8876425209
Total Pages : 169 pages
Book Rating : 4.8/5 (764 download)

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Book Synopsis On Some Applications of Diophantine Approximations by : Umberto Zannier

Download or read book On Some Applications of Diophantine Approximations written by Umberto Zannier and published by Springer. This book was released on 2015-02-13 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel’s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel’s proof have appeared, but none seem to faithfully reproduce all features of the original one. This translation makes Siegel’s original ideas and proofs available for the first time in English. The volume also contains the original version of the paper (in German) and an article by the translator and U. Zannier, commenting on some aspects of the evolution of this field following Siegel’s paper. To end, it presents three modern proofs of Siegel’s theorem on integral points.

World Congress of Nonlinear Analysts '92

Author : V. Lakshmikantham
Publisher : Walter de Gruyter
ISBN 13 : 3110883236
Total Pages : 4040 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis World Congress of Nonlinear Analysts '92 by : V. Lakshmikantham

Download or read book World Congress of Nonlinear Analysts '92 written by V. Lakshmikantham and published by Walter de Gruyter. This book was released on 2011-11-14 with total page 4040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis and Related Topics, 1991

Author : Hikosaburo Komatsu
Publisher : Springer
ISBN 13 : 3540475656
Total Pages : 425 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Functional Analysis and Related Topics, 1991 by : Hikosaburo Komatsu

Download or read book Functional Analysis and Related Topics, 1991 written by Hikosaburo Komatsu and published by Springer. This book was released on 2006-11-15 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: In these proceedings of the international conference held in Kyoto in memoryof the late Professor K saku Yosida, twenty six invited speakers display in their many facets of functional analysis and its applications in the research tradition of Yosida's school. Many of the topics are related tolinear and non-linear partial differential equations, including the Schr|dinger equations, the Navier-Stokes equations and quasilinear hyperbolic equations. Several of the papers are survey articles, the others are original (unpublished) and refereed research articles. Also included is a full listing of the publications of K. Yosida. Recommendedto students and research workers looking for a bird's-eye view of current research activity in functional analysis and its applications. FROM THE CONTENTS: K. Ito: Semigroups in probability theory.- T. Kato: Abstract evolution equations, linear and quasilinear, revisited.- J.L. Lions: Remarkson systems with incompletely given initial data and incompletely given part of the boundary.- H. Brezis: New energies for harmonic maps and liquid crystals.- D. Fujiwara: Some Feynman path integrals as oscillatory integrals over a Sobolev manifold.- M. Giga, Y. Giga, H. Sohr: L estimates for the Stokes system.- Y. Kawahigashi: Exactly solvable orbifold models and subfactors.- H. Kitada: Asymptotic completeness of N-body wave operators II. A new proof for the short-range case and the asymptotic clustering for the long-range systems. Y. Kobayashi, S. Oharu: Semigroups oflocally Lipschitzian operators and applications.- H. Komatsu: Operational calculus and semi-groups of operators.