# Search Results for "an-introduction-to-differential-equations-and-their-applications"

## An Introduction to Differential Equations and Their Applications

**Author**: Stanley J. Farlow**Publisher:**Courier Corporation**ISBN:**0486135136**Category:**Mathematics**Page:**640**View:**1905

This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.

## Differential Equations and Their Applications

*An Introduction to Applied Mathematics*

**Author**: Martin Braun**Publisher:**Springer Science & Business Media**ISBN:**1461243602**Category:**Mathematics**Page:**578**View:**9184

Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

## Differential Equations and Their Applications

*An Introduction to Applied Mathematics*

**Author**: M. Braun**Publisher:**Springer Science & Business Media**ISBN:**1475749694**Category:**Mathematics**Page:**719**View:**656

For the past several years the Division of Applied Mathematics at Brown University has been teaching an extremely popular sophomore level differential equations course. The immense success of this course is due primarily to two fac tors. First, and foremost, the material is presented in a manner which is rigorous enough for our mathematics and ap plied mathematics majors, but yet intuitive and practical enough for our engineering, biology, economics, physics and geology majors. Secondly, numerous case histories are given of how researchers have used differential equations to solve real life problems. This book is the outgrowth of this course. It is a rigorous treatment of differential equations and their appli cations, and can be understood by anyone who has had a two semester course in Calculus. It contains all the material usually covered in a one or two semester course in differen tial equations. In addition, it possesses the following unique features which distinguish it from other textbooks on differential equations.

## An introduction to differential equations and their applications

**Author**: Stephen La Vern Campbell**Publisher:**Brooks/Cole**ISBN:**9780534094683**Category:**Mathematics**Page:**596**View:**6162

## An Introduction to Minimax Theorems and Their Applications to Differential Equations

**Author**: Maria do Rosário Grossinho,Stepan Agop Tersian**Publisher:**Springer Science & Business Media**ISBN:**1475733089**Category:**Mathematics**Page:**274**View:**6652

The book is intended to be an introduction to critical point theory and its applications to differential equations. Although the related material can be found in other books, the authors of this volume have had the following goals in mind: To present a survey of existing minimax theorems, To give applications to elliptic differential equations in bounded domains, To consider the dual variational method for problems with continuous and discontinuous nonlinearities, To present some elements of critical point theory for locally Lipschitz functionals and give applications to fourth-order differential equations with discontinuous nonlinearities, To study homoclinic solutions of differential equations via the variational methods. The contents of the book consist of seven chapters, each one divided into several sections. Audience: Graduate and post-graduate students as well as specialists in the fields of differential equations, variational methods and optimization.

## Introduction to random differential equations and their applications

**Author**: S. Kidambi Srinivasan,Ramabhadra Vasudevan**Publisher:**Elsevier Publishing Company**ISBN:**N.A**Category:**Mathematics**Page:**166**View:**3315

## Introduction to the Theory and Applications of Functional Differential Equations

**Author**: V. Kolmanovskii,A. Myshkis**Publisher:**Springer Science & Business Media**ISBN:**9401719659**Category:**Mathematics**Page:**648**View:**6245

This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work, which treats many concrete problems in detail, gives a good overview of the entire field and will serve as a stimulating guide to further research. Audience: This volume will be of interest to researchers and (post)graduate students working in analysis, and in functional analysis in particular. It will also appeal to mathematical engineers, industrial mathematicians, mathematical system theoreticians and mathematical modellers.

## Fractional Differential Equations

*An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications*

**Author**: Igor Podlubny**Publisher:**Elsevier**ISBN:**9780080531984**Category:**Mathematics**Page:**340**View:**8033

This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'. This book is written for readers who are new to the fields of fractional derivatives and fractional-order mathematical models, and feel that they need them for developing more adequate mathematical models. In this book, not only applied scientists, but also pure mathematicians will find fresh motivation for developing new methods and approaches in their fields of research. A reader will find in this book everything necessary for the initial study and immediate application of fractional derivatives fractional differential equations, including several necessary special functions, basic theory of fractional differentiation, uniqueness and existence theorems, analytical numerical methods of solution of fractional differential equations, and many inspiring examples of applications. A unique survey of many applications of fractional calculus Presents basic theory Includes a unified presentation of selected classical results, which are important for applications Provides many examples Contains a separate chapter of fractional order control systems, which opens new perspectives in control theory The first systematic consideration of Caputo's fractional derivative in comparison with other selected approaches Includes tables of fractional derivatives, which can be used for evaluation of all considered types of fractional derivatives

## Ordinary Differential Equations with Applications

**Author**: Carmen Chicone**Publisher:**Springer Science & Business Media**ISBN:**9780387985350**Category:**Mathematics**Page:**561**View:**4403

This graduate-level textbook offers students a rapid introduction to the language of ordinary differential equations followed by a careful treatment of the central topics of the qualitative theory. In addition, special attention is given to the origins and applications of differential equations in physical science and engineering.

## An Introduction to Neural Network Methods for Differential Equations

**Author**: Neha Yadav,Anupam Yadav,Manoj Kumar**Publisher:**Springer**ISBN:**9401798168**Category:**Mathematics**Page:**114**View:**4878

This book introduces a variety of neural network methods for solving differential equations arising in science and engineering. The emphasis is placed on a deep understanding of the neural network techniques, which has been presented in a mostly heuristic and intuitive manner. This approach will enable the reader to understand the working, efficiency and shortcomings of each neural network technique for solving differential equations. The objective of this book is to provide the reader with a sound understanding of the foundations of neural networks and a comprehensive introduction to neural network methods for solving differential equations together with recent developments in the techniques and their applications. The book comprises four major sections. Section I consists of a brief overview of differential equations and the relevant physical problems arising in science and engineering. Section II illustrates the history of neural networks starting from their beginnings in the 1940s through to the renewed interest of the 1980s. A general introduction to neural networks and learning technologies is presented in Section III. This section also includes the description of the multilayer perceptron and its learning methods. In Section IV, the different neural network methods for solving differential equations are introduced, including discussion of the most recent developments in the field. Advanced students and researchers in mathematics, computer science and various disciplines in science and engineering will find this book a valuable reference source.