Nonlinear Differential Equations And Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonlinear Differential Equations And Applications PDF full book. Access full book title Nonlinear Differential Equations And Applications.
| Author | : Tomás Roubicek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2006-01-17 |
| Genre | : Mathematics |
| ISBN | : 3764373970 |
Download Nonlinear Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
| Author | : Feliz Manuel Minhós |
| Publisher | : MDPI |
| Total Pages | : 158 |
| Release | : 2021-04-15 |
| Genre | : Mathematics |
| ISBN | : 3036507108 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.
| Author | : M.R. Grossinho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 2000-11-29 |
| Genre | : Mathematics |
| ISBN | : 9780817641887 |
Download Nonlinear Analysis and its Applications to Differential Equations Book in PDF, ePub and Kindle
In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica
| Author | : Tomáš Roubíček |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 476 |
| Release | : 2013-01-13 |
| Genre | : Mathematics |
| ISBN | : 3034805136 |
Download Nonlinear Partial Differential Equations with Applications Book in PDF, ePub and Kindle
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering. Selected parts are mainly an introduction into the subject while some others form an advanced textbook. The second edition simplifies and extends the exposition at particular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equations or in mathematical modelling of distributed parameter systems. ------ The monograph contains a wealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concrete applications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well done, and the presentation, although concise, is clear, elegant and rigorous. (...) this book is a notable addition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the analysis of (...) nonlinear differential models of the real world. (Mathematical Reviews)
| Author | : Ferdinand Verhulst |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 287 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642971490 |
Download Nonlinear Differential Equations and Dynamical Systems Book in PDF, ePub and Kindle
Bridging the gap between elementary courses and the research literature in this field, the book covers the basic concepts necessary to study differential equations. Stability theory is developed, starting with linearisation methods going back to Lyapunov and Poincaré, before moving on to the global direct method. The Poincaré-Lindstedt method is introduced to approximate periodic solutions, while at the same time proving existence by the implicit function theorem. The final part covers relaxation oscillations, bifurcation theory, centre manifolds, chaos in mappings and differential equations, and Hamiltonian systems. The subject material is presented from both the qualitative and the quantitative point of view, with many examples to illustrate the theory, enabling the reader to begin research after studying this book.
| Author | : Viorel Barbu |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 1441955429 |
Download Nonlinear Differential Equations of Monotone Types in Banach Spaces Book in PDF, ePub and Kindle
This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
| Author | : Anthony W Leung |
| Publisher | : World Scientific |
| Total Pages | : 545 |
| Release | : 2009-08-28 |
| Genre | : Mathematics |
| ISBN | : 9814467472 |
Download Nonlinear Systems Of Partial Differential Equations: Applications To Life And Physical Sciences Book in PDF, ePub and Kindle
The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers.The first chapter covers a wide range of steady-state and stability results involving prey-predator, competing and cooperating species under strong or weak interactions. Many diagrams are included to easily understand the description of the range of parameters for coexistence. The book provides a comprehensive presentation of topics developed by numerous researchers. Large complex systems are introduced for modern research in ecology, medicine and engineering.Chapter 3 combines the theories of earlier chapters with the optimal control of systems involving resource management and fission reactors. This is the first book to present such topics at research level. Chapter 4 considers persistence, cross-diffusion, and boundary induced blow-up, etc. The book also covers traveling or systems of waves, coupled Navier-Stokes and Maxwell systems, and fluid equations of plasma display. These should be of interest to life and physical scientists.
| Author | : Yihong Du |
| Publisher | : World Scientific |
| Total Pages | : 202 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 9812566244 |
Download Order Structure and Topological Methods in Nonlinear Partial Differential Equations Book in PDF, ePub and Kindle
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
| Author | : Shigeaki Koike |
| Publisher | : Springer |
| Total Pages | : 261 |
| Release | : 2022-04-17 |
| Genre | : Mathematics |
| ISBN | : 9789813348240 |
Download Nonlinear Partial Differential Equations for Future Applications Book in PDF, ePub and Kindle
This volume features selected, original, and peer-reviewed papers on topics from a series of workshops on Nonlinear Partial Differential Equations for Future Applications that were held in 2017 at Tohoku University in Japan. The contributions address an abstract maximal regularity with applications to parabolic equations, stability, and bifurcation for viscous compressible Navier–Stokes equations, new estimates for a compressible Gross–Pitaevskii–Navier–Stokes system, singular limits for the Keller–Segel system in critical spaces, the dynamic programming principle for stochastic optimal control, two kinds of regularity machineries for elliptic obstacle problems, and new insight on topology of nodal sets of high-energy eigenfunctions of the Laplacian. This book aims to exhibit various theories and methods that appear in the study of nonlinear partial differential equations.
| Author | : R. Grimshaw |
| Publisher | : Routledge |
| Total Pages | : 342 |
| Release | : 2017-10-19 |
| Genre | : Mathematics |
| ISBN | : 135142808X |
Download Nonlinear Ordinary Differential Equations Book in PDF, ePub and Kindle
Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
