Recent Developments In The Solution Of Nonlinear Differential Equations PDF Download
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Author | : Bruno Carpentieri |
Publisher | : BoD – Books on Demand |
Total Pages | : 374 |
Release | : 2021-09-08 |
Genre | : Mathematics |
ISBN | : 1839686561 |
Download Recent Developments in the Solution of Nonlinear Differential Equations Book in PDF, ePub and Kindle
Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.
Author | : V. Lakshmikantham |
Publisher | : CRC Press |
Total Pages | : 589 |
Release | : 2020-12-17 |
Genre | : Mathematics |
ISBN | : 1000111091 |
Download Trends in Theory and Practice of Nonlinear Differential Equations Book in PDF, ePub and Kindle
This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.
Author | : Donatella Danielli |
Publisher | : American Mathematical Soc. |
Total Pages | : 146 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : 0821837400 |
Download Recent Developments in Nonlinear Partial Differential Equations Book in PDF, ePub and Kindle
This volume contains research and expository articles based on talks presented at the 2nd Symposium on Analysis and PDEs, held at Purdue University. The Symposium focused on topics related to the theory and applications of nonlinear partial differential equations that are at the forefront of current international research. Papers in this volume provide a comprehensive account of many of the recent developments in the field. The topics featured in this volume include: kinetic formulations of nonlinear PDEs; recent unique continuation results and their applications; concentrations and constrained Hamilton-Jacobi equations; nonlinear Schrodinger equations; quasiminimal sets for Hausdorff measures; Schrodinger flows into Kahler manifolds; and parabolic obstacle problems with applications to finance. The clear and concise presentation in many articles makes this volume suitable for both researchers and graduate students.
Author | : Wolfgang Gröbner |
Publisher | : |
Total Pages | : 116 |
Release | : 1970 |
Genre | : |
ISBN | : |
Download Development of New Methods for the Solution of Nonlinear Differential Equations by the Method of Lie Series and Extension to New Fields Book in PDF, ePub and Kindle
Author | : M.R. Grossinho |
Publisher | : Springer Science & Business Media |
Total Pages | : 383 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461201918 |
Download Nonlinear Analysis and its Applications to Differential Equations Book in PDF, ePub and Kindle
This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations. The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed. Several topics in ordinary differential equations and partial differential equations are the focus of key articles, including: * periodic solutions of systems with p-Laplacian type operators (J. Mawhin) * bifurcation in variational inequalities (K. Schmitt) * a geometric approach to dynamical systems in the plane via twist theorems (R. Ortega) * asymptotic behavior and periodic solutions for Navier--Stokes equations (E. Feireisl) * mechanics on Riemannian manifolds (W. Oliva) * techniques of lower and upper solutions for ODEs (C. De Coster and P. Habets) A number of related subjects dealing with properties of solutions, e.g., bifurcations, symmetries, nonlinear oscillations, are treated in other articles. This volume reflects rich and varied fields of research and will be a useful resource for mathematicians and graduate students in the ODE and PDE community.
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.
Author | : Dimitri Volchenkov |
Publisher | : Springer |
Total Pages | : 316 |
Release | : 2017-06-24 |
Genre | : Technology & Engineering |
ISBN | : 3319580620 |
Download Regularity and Stochasticity of Nonlinear Dynamical Systems Book in PDF, ePub and Kindle
This book presents recent developments in nonlinear dynamics and physics with an emphasis on complex systems. The contributors provide recent theoretic developments and new techniques to solve nonlinear dynamical systems and help readers understand complexity, stochasticity, and regularity in nonlinear dynamical systems. This book covers integro-differential equation solvability, Poincare recurrences in ergodic systems, orientable horseshoe structure, analytical routes of periodic motions to chaos, grazing on impulsive differential equations, from chaos to order in coupled oscillators, and differential-invariant solutions for automorphic systems, inequality under uncertainty.
Author | : Mi-Ho Giga |
Publisher | : Springer Science & Business Media |
Total Pages | : 307 |
Release | : 2010-05-30 |
Genre | : Mathematics |
ISBN | : 0817646515 |
Download Nonlinear Partial Differential Equations Book in PDF, ePub and Kindle
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.
Author | : Ratan Prakash Agarwal |
Publisher | : World Scientific |
Total Pages | : 604 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : 9789810209636 |
Download Recent Trends in Differential Equations Book in PDF, ePub and Kindle
This series aims at reporting new developments of a high mathematical standard and of current interest. Each volume in the series shall be devoted to mathematical analysis that has been applied, or potentially applicable to the solutions of scientific, engineering, and social problems. The first volume of WSSIAA contains 42 research articles on differential equations by leading mathematicians from all over the world. This volume has been dedicated to V Lakshmikantham on his 65th birthday for his significant contributions in the field of differential equations.
Author | : R. Grimshaw |
Publisher | : Routledge |
Total Pages | : 336 |
Release | : 2017-10-19 |
Genre | : Mathematics |
ISBN | : 1351428098 |
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.