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Theory of Ordinary Differential Equations

Author: Earl A. Coddington

Publisher: Krieger Publishing Company

ISBN:

Category: Mathematics

Page: 429

View: 792

The prerequisite for the study of this book is a knowledge of matrices and the essentials of functions of a complex variable. It has been developed from courses given by the authors and probably contains more material than will ordinarily be covered in a one-year course. It is hoped that the book will be a useful text in the application of differential equations as well as for the pure mathematician.

Theory of Ordinary Differential Equations

Author: Earl A. Coddington

Publisher: Tata McGraw-Hill Education

ISBN:

Category: Boundary value problems

Page: 429

View: 118

Differential Equations, Dynamical Systems, and Linear Algebra

Author: Morris W. Hirsch

Publisher: Academic Press

ISBN:

Category: Mathematics

Page: 358

View: 919

This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.

Ordinary Differential Equations in the Complex Domain

Author: Einar Hille

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 484

View: 702

Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.

A First Course in the Numerical Analysis of Differential Equations

Author: Arieh Iserles

Publisher: Cambridge University Press

ISBN:

Category: Mathematics

Page: 378

View: 854

Covers numerical analysis for mathematics students without neglecting practical aspects.

Foundations of the Classical Theory of Partial Differential Equations

Author: Yu.V. Egorov

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 259

View: 868

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... It is comparable in scope with the great Courant-Hilbert Methods of Mathematical Physics, but it is much shorter, more up to date of course, and contains more elaborate analytical machinery...." The Mathematical Gazette, 1993

Analytic Theory of Differential Equations

The Proceedings of the Conference at Western Michigan University, Kalamazoo, from 30 April to 2 May 1970

Author: P. F. Hsieh

Publisher: Springer

ISBN:

Category: Mathematics

Page: 232

View: 935

Comparison and Oscillation Theory of Linear Differential Equations

Author: C. A. Swanson

Publisher: Elsevier

ISBN:

Category: Mathematics

Page: 236

View: 957

Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.

Numerical Solution of Ordinary Differential Equations

Author: Kendall Atkinson

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 272

View: 275

A concise introduction to numerical methodsand the mathematicalframework neededto understand their performance Numerical Solution of Ordinary Differential Equationspresents a complete and easy-to-follow introduction to classicaltopics in the numerical solution of ordinary differentialequations. The book's approach not only explains the presentedmathematics, but also helps readers understand how these numericalmethods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringingtogether and categorizing different types of problems in order tohelp readers comprehend the applications of ordinary differentialequations. In addition, the authors' collective academic experienceensures a coherent and accessible discussion of key topics,including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to testand build their knowledge of the presented methods, and a relatedWeb site features MATLAB® programs that facilitate theexploration of numerical methods in greater depth. Detailedreferences outline additional literature on both analytical andnumerical aspects of ordinary differential equations for furtherexploration of individual topics. Numerical Solution of Ordinary Differential Equations isan excellent textbook for courses on the numerical solution ofdifferential equations at the upper-undergraduate and beginninggraduate levels. It also serves as a valuable reference forresearchers in the fields of mathematics and engineering.

Nonoscillation and Oscillation Theory for Functional Differential Equations

Author: Ravi P. Agarwal

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 400

View: 423

This book summarizes the qualitative theory of differential equations with or without delays, collecting recent oscillation studies important to applications and further developments in mathematics, physics, engineering, and biology. The authors address oscillatory and nonoscillatory properties of first-order delay and neutral delay differential equations, second-order delay and ordinary differential equations, higher-order delay differential equations, and systems of nonlinear differential equations. The final chapter explores key aspects of the oscillation of dynamic equations on time scales-a new and innovative theory that accomodates differential and difference equations simultaneously.

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