Differential Equations and Applications, Volume 4

Differential Equations and Applications, Volume 4
Author: Yeol Je Cho
Publisher: Nova Publishers
Total Pages: 184
Release: 2007-07-02
Genre: Mathematics
ISBN: 9781594548765

The aim of this volume is to introduce new topics on the areas of difference, differential, integrodifferential and integral equations, evolution equations, control and optimisation theory, dynamic system theory, queuing theory and electromagnetism and their applications.

Differential Equations and Their Applications

Differential Equations and Their Applications
Author: M. Braun
Publisher: Springer Science & Business Media
Total Pages: 733
Release: 2013-06-29
Genre: Mathematics
ISBN: 1475749694

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.

Handbook of Differential Equations: Ordinary Differential Equations

Handbook of Differential Equations: Ordinary Differential Equations
Author: Flaviano Battelli
Publisher: Elsevier
Total Pages: 719
Release: 2008-08-19
Genre: Mathematics
ISBN: 0080559468

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations - Pure mathematical and real-world applications - Written for mathematicians and scientists of many related fields

Introduction to Partial Differential Equations with Applications

Introduction to Partial Differential Equations with Applications
Author: E. C. Zachmanoglou
Publisher: Courier Corporation
Total Pages: 434
Release: 2012-04-20
Genre: Mathematics
ISBN: 048613217X

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

Engineering Differential Equations

Engineering Differential Equations
Author: Bill Goodwine
Publisher: Springer Science & Business Media
Total Pages: 762
Release: 2010-11-11
Genre: Mathematics
ISBN: 1441979190

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

An Introduction to Differential Equations and Their Applications

An Introduction to Differential Equations and Their Applications
Author: Stanley J. Farlow
Publisher: Courier Corporation
Total Pages: 642
Release: 2012-10-23
Genre: Mathematics
ISBN: 0486135136

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.

Stochastic Differential Equations and Applications

Stochastic Differential Equations and Applications
Author: Avner Friedman
Publisher: Academic Press
Total Pages: 248
Release: 2014-06-20
Genre: Mathematics
ISBN: 1483217876

Stochastic Differential Equations and Applications, Volume 1 covers the development of the basic theory of stochastic differential equation systems. This volume is divided into nine chapters. Chapters 1 to 5 deal with the basic theory of stochastic differential equations, including discussions of the Markov processes, Brownian motion, and the stochastic integral. Chapter 6 examines the connections between solutions of partial differential equations and stochastic differential equations, while Chapter 7 describes the Girsanov's formula that is useful in the stochastic control theory. Chapters 8 and 9 evaluate the behavior of sample paths of the solution of a stochastic differential system, as time increases to infinity. This book is intended primarily for undergraduate and graduate mathematics students.

Theory and Applications of Fractional Differential Equations

Theory and Applications of Fractional Differential Equations
Author: A.A. Kilbas
Publisher: Elsevier
Total Pages: 550
Release: 2006-02-16
Genre: Mathematics
ISBN: 9780444518323

This work aims to present, in a systematic manner, results including the existence and uniqueness of solutions for the Cauchy Type and Cauchy problems involving nonlinear ordinary fractional differential equations.

An Introduction to Delay Differential Equations with Applications to the Life Sciences

An Introduction to Delay Differential Equations with Applications to the Life Sciences
Author: hal smith
Publisher: Springer Science & Business Media
Total Pages: 178
Release: 2010-09-29
Genre: Mathematics
ISBN: 1441976469

This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.