Nonlinear Differential Equation Models
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Author | : Ansgar Jüngel |
Publisher | : Springer Science & Business Media |
Total Pages | : 195 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3709106095 |
Download Nonlinear Differential Equation Models Book in PDF, Epub and Kindle
The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" – May 20–24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with emphasis on free boundaries, fully nonlinear partial differential equations, variational methods, quasilinear partial differential equations and nonlinear kinetic models.
Author | : Paul Phillipson |
Publisher | : World Scientific |
Total Pages | : 238 |
Release | : 2009-09-29 |
Genre | : Mathematics |
ISBN | : 9814468169 |
Download Modeling By Nonlinear Differential Equations: Dissipative And Conservative Processes Book in PDF, Epub and Kindle
This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many phenomena in physics, chemistry and biology. Topics of focus are autocatalysis and dynamics of molecular evolution, relaxation oscillations, deterministic chaos, reaction diffusion driven chemical pattern formation, solitons and neuron dynamics. Included is a discussion of processes from the viewpoints of reversibility, reflected by conservative classical mechanics, and irreversibility introduced by the dissipative role of diffusion. Each chapter presents the subject matter from the point of one or a few key equations, whose properties and consequences are amplified by approximate analytic solutions that are developed to support graphical display of exact computer solutions
Author | : James Dickson Murray |
Publisher | : Oxford University Press, USA |
Total Pages | : 392 |
Release | : 1977 |
Genre | : Mathematics |
ISBN | : |
Download Lectures on Nonlinear-differential-equation Models in Biology Book in PDF, Epub and Kindle
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 | : 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 | : Marius Ghergu |
Publisher | : Springer Science & Business Media |
Total Pages | : 402 |
Release | : 2011-10-21 |
Genre | : Mathematics |
ISBN | : 3642226647 |
Download Nonlinear PDEs Book in PDF, Epub and Kindle
The emphasis throughout the present volume is on the practical application of theoretical mathematical models helping to unravel the underlying mechanisms involved in processes from mathematical physics and biosciences. It has been conceived as a unique collection of abstract methods dealing especially with nonlinear partial differential equations (either stationary or evolutionary) that are applied to understand concrete processes involving some important applications related to phenomena such as: boundary layer phenomena for viscous fluids, population dynamics,, dead core phenomena, etc. It addresses researchers and post-graduate students working at the interplay between mathematics and other fields of science and technology and is a comprehensive introduction to the theory of nonlinear partial differential equations and its main principles also presents their real-life applications in various contexts: mathematical physics, chemistry, mathematical biology, and population genetics. Based on the authors' original work, this volume provides an overview of the field, with examples suitable for researchers but also for graduate students entering research. The method of presentation appeals to readers with diverse backgrounds in partial differential equations and functional analysis. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. The content demonstrates in a firm way that partial differential equations can be used to address a large variety of phenomena occurring in and influencing our daily lives. The extensive reference list and index make this book a valuable resource for researchers working in a variety of fields and who are interested in phenomena modeled by nonlinear partial differential equations.
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 | : Daniela Lupo |
Publisher | : Birkhäuser |
Total Pages | : 268 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034880871 |
Download Nonlinear Equations: Methods, Models and Applications Book in PDF, Epub and Kindle
A collection of research articles originating from the Workshop on Nonlinear Analysis and Applications held in Bergamo in July 2001. Classical topics of nonlinear analysis were considered, such as calculus of variations, variational inequalities, critical point theory and their use in various aspects of the study of elliptic differential equations and systems, equations of Hamilton-Jacobi, Schrödinger and Navier-Stokes, and free boundary problems. Moreover, various models were focused upon: travelling waves in supported beams and plates, vortex condensation in electroweak theory, information theory, non-geometrical optics, and Dirac-Fock models for heavy atoms.
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 | : Piero de Mottoni |
Publisher | : Academic Press |
Total Pages | : 370 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483262499 |
Download Nonlinear Differential Equations Book in PDF, Epub and Kindle
Nonlinear Differential Equations: Invariance, Stability, and Bifurcation presents the developments in the qualitative theory of nonlinear differential equations. This book discusses the exchange of mathematical ideas in stability and bifurcation theory. Organized into 26 chapters, this book begins with an overview of the initial value problem for a nonlinear wave equation. This text then focuses on the interplay between stability exchange for a stationary solution and the appearance of bifurcating periodic orbits. Other chapters consider the development of methods for ascertaining stability and boundedness and explore the development of bifurcation and stability analysis in nonlinear models of applied sciences. This book discusses as well nonlinear hyperbolic equations in further contributions, featuring stability properties of periodic and almost periodic solutions. The reader is also introduced to the stability problem of the equilibrium of a chemical network. The final chapter deals with suitable spaces for studying functional equations. This book is a valuable resource for mathematicians.