Differential Equations & Nonlinearity

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Differential Equations with Applications and Historical Notes, Third Edition


George F. Simmons
September 27, 2016

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the...

An Illustrative Introduction to Modern Analysis

Nikolaos Katzourakis, Eugen Varvaruca
December 01, 2017

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity,...

Elementary Differential Equations

Kenneth Kuttler
November 08, 2017

Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential...

Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems

Andrei D. Polyanin, Valentin F. Zaitsev
November 03, 2017

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field...

Nonlinear Reaction-Diffusion-Convection: Lie and Conditional Symmetry, exact Solutions and Their Applications

Roman Cherniha, Mykola Serov, Oleksii Pliukhin
October 19, 2017

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and...

Applied Differential Equations with Boundary Value Problems

Vladimir Dobrushkin
October 16, 2017

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s...

Optimization and Differentiation

Simon Serovajsky
October 13, 2017

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal...

Variational-Hemivariational Inequalities with Applications

Mircea Sofonea, Stanislaw Migorski
October 13, 2017

This research monograph represents an outcome of the cross-fertilization between nonlinear functional analysis and mathematical modelling, and demonstrates its application to solid and contact mechanics. Based on authors’ original results, it introduces a general fixed point principle and its...

Theory of Differential Equations in Engineering and Mechanics

Kam Tim Chau
September 22, 2017

This gives comprehensive coverage of the essential differential equations students they are likely to encounter in solving engineering and mechanics problems across the field -- alongside a more advance volume on applications. This first volume covers a very broad range of theories related to...

Differential Equations for Engineers: The Essentials

David V. Kalbaugh
September 01, 2017

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace...

Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations

S. Chakraverty, Susmita Mall
July 14, 2017

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed...

Block Method for Solving the Laplace Equation and for Constructing Conformal Mappings

Evgenii A. Volkov
July 13, 2017

This book presents a new, efficient numerical-analytical method for solving the Laplace equation on an arbitrary polygon. This method, called the approximate block method, overcomes indicated difficulties and has qualitatively more rapid convergence than well-known difference and...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens
July 01, 2017

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...