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Nonlinear Differential Equations


Nonlinear Differential Equations
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Introduction To Nonlinear Differential And Integral Equations


Introduction To Nonlinear Differential And Integral Equations
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Author : Harold Thayer Davis
language : en
Publisher:
Release Date : 1960

Introduction To Nonlinear Differential And Integral Equations written by Harold Thayer Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Calculus categories.




Linear And Nonlinear Differential Equations


Linear And Nonlinear Differential Equations
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Author : Ian Huntley
language : en
Publisher:
Release Date : 1983

Linear And Nonlinear Differential Equations written by Ian Huntley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Mathematics categories.




Nonlinear Differential Equations


Nonlinear Differential Equations
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Author : Raimond A. Struble
language : en
Publisher: Courier Dover Publications
Release Date : 2017-11-29

Nonlinear Differential Equations written by Raimond A. Struble and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-29 with Mathematics categories.


Detailed treatment covers existence and uniqueness of a solution of the initial value problem, properties of solutions, properties of linear systems, stability of nonlinear systems, and two-dimensional systems. 1962 edition.



Nonlinear Differential Equations And Dynamical Systems


Nonlinear Differential Equations And Dynamical Systems
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Author : Feliz Manuel Minhós
language : en
Publisher: MDPI
Release Date : 2021-04-15

Nonlinear Differential Equations And Dynamical Systems written by Feliz Manuel Minhós and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-15 with Mathematics categories.


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.



Modeling By Nonlinear Differential Equations


Modeling By Nonlinear Differential Equations
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Author : Paul E. Phillipson
language : en
Publisher: World Scientific
Release Date : 2009

Modeling By Nonlinear Differential Equations written by Paul E. Phillipson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


"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."--back cover.



Nonlinear Ordinary Differential Equations


Nonlinear Ordinary Differential Equations
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Author : R. Grimshaw
language : en
Publisher: Routledge
Release Date : 2017-10-19

Nonlinear Ordinary Differential Equations written by R. Grimshaw and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-19 with Mathematics categories.


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.



Nonlinear Ordinary Differential Equations Problems And Solutions


Nonlinear Ordinary Differential Equations Problems And Solutions
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Author : Dominic Jordan
language : en
Publisher: OUP Oxford
Release Date : 2007-08-23

Nonlinear Ordinary Differential Equations Problems And Solutions written by Dominic Jordan and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-08-23 with Mathematics categories.


An ideal companion to the new 4th Edition of Nonlinear Ordinary Differential Equations by Jordan and Smith (OUP, 2007), this text contains over 500 problems and fully-worked solutions in nonlinear differential equations. With 272 figures and diagrams, subjects covered include phase diagrams in the plane, classification of equilibrium points, geometry of the phase plane, perturbation methods, forced oscillations, stability, Mathieu's equation, Liapunov methods, bifurcations and manifolds, homoclinic bifurcation, and Melnikov's method. The problems are of variable difficulty; some are routine questions, others are longer and expand on concepts discussed in Nonlinear Ordinary Differential Equations 4th Edition, and in most cases can be adapted for coursework or self-study. Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.



Lectures On Nonlinear Differential Equation Models In Biology


Lectures On Nonlinear Differential Equation Models In Biology
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Author : James Dickson Murray
language : en
Publisher: Oxford University Press, USA
Release Date : 1977

Lectures On Nonlinear Differential Equation Models In Biology written by James Dickson Murray and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.




International Symposium On Nonlinear Differential Equations And Nonlinear Mechanics


International Symposium On Nonlinear Differential Equations And Nonlinear Mechanics
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Author : Joseph Lasalle
language : en
Publisher: Elsevier
Release Date : 2012-12-02

International Symposium On Nonlinear Differential Equations And Nonlinear Mechanics written by Joseph Lasalle and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.


Nonlinear Differential Equations and Nonlinear Mechanics provides information pertinent to nonlinear differential equations, nonlinear mechanics, control theory, and other related topics. This book discusses the properties of solutions of equations in standard form in the infinite time interval. Organized into 49 chapters, this book starts with an overview of the characteristic types of differential equation systems with small parameters. This text then explains the structurally stable fields on a differentiable two manifold are the ones that exhibit the simplest features. Other chapters explore the canonic system of hyperbolic partial differential equations with fixed characteristics. This book discusses as well the monofrequent oscillations that are predominantly near one or the other of the linear modes of motion. The final chapter deals with the existence and asymptotic character of solutions of the nonlinear boundary value problem. This book is a valuable resource for pure and applied mathematicians. Aircraft engineers will also find this book useful.



Nonlinear Differential Equation Models


Nonlinear Differential Equation Models
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Author : Ansgar Jüngel
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-06-14

Nonlinear Differential Equation Models written by Ansgar Jüngel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-14 with Mathematics categories.


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.