Introduction To The Theory Of Linear Differential Equations

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Introduction To The Theory Of Linear Partial Differential Equations

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Author : J. Chazarain
language : en
Publisher: Elsevier
Release Date : 2011-08-18

Introduction To The Theory Of Linear Partial Differential Equations written by J. Chazarain and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Computers categories.

Introduction to the Theory of Linear Partial Differential Equations

Introduction To The Theory Of Linear Differential Equations

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Author : E. G. C. Poole
language : en
Publisher:
Release Date : 1956

Introduction To The Theory Of Linear Differential Equations written by E. G. C. Poole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.

Introduction To Theory Of Ordinary Differential Equation

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Author : V. DHARMAIAH
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2012-09-19

Introduction To Theory Of Ordinary Differential Equation written by V. DHARMAIAH and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-19 with Mathematics categories.

This systematically-organized text on the theory of differential equations deals with the basic concepts and the methods of solving ordinary differential equations. Various existence theorems, properties of uniqueness, oscillation and stability theories, have all been explained with suitable examples to enhance students’ understanding of the subject. The book also discusses in sufficient detail the qualitative, the quantitative, and the approximation techniques, linear equations with variable and constants coefficients, regular singular points, and homogeneous equations with analytic coefficients. Finally, it explains Riccati equation, boundary value problems, the Sturm–Liouville problem, Green’s function, the Picard’s theorem, and the Sturm–Picone theorem. The text is supported by a number of worked-out examples to make the concepts clear, and it also provides a number of exercises help students test their knowledge and improve their skills in solving differential equations. The book is intended to serve as a text for the postgraduate students of mathematics and applied mathematics. It will also be useful to the candidates preparing to sit for the competitive examinations such as NET and GATE.

Introduction To The Theory Of Linear Differential Equations

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Author : Edgar Girard Croker Poole
language : en
Publisher:
Release Date : 1960

Introduction To The Theory Of Linear Differential Equations written by Edgar Girard Croker Poole and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.

Ordinary Differential Equations

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Author : J. Kurzweil
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Ordinary Differential Equations written by J. Kurzweil and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.

The author, Professor Kurzweil, is one of the world's top experts in the area of ordinary differential equations - a fact fully reflected in this book. Unlike many classical texts which concentrate primarily on methods of integration of differential equations, this book pursues a modern approach: the topic is discussed in full generality which, at the same time, permits us to gain a deep insight into the theory and to develop a fruitful intuition. The basic framework of the theory is expanded by considering further important topics like stability, dependence of a solution on a parameter, Carathéodory's theory and differential relations.The book is very well written, and the prerequisites needed are minimal - some basics of analysis and linear algebra. As such, it is accessible to a wide circle of readers, in particular to non-mathematicians.

Differential Equations Theory And Applications

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Author : David Betounes
language : en
Publisher: Springer Science & Business Media
Release Date : 2001

Differential Equations Theory And Applications written by David Betounes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Differential equations categories.

This book provides a comprehensive introduction to the theory of ordinary differential equations with a focus on mechanics and dynamical systems as important applications of the theory. The text is written to be used in the traditional way or in a more applied way. The accompanying CD contains Maple worksheets for the exercises, and special Maple code for performing various tasks. In addition to its use in a traditional one or two semester graduate course in mathematics, the book is organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering.

Linear Differential Equations In The Complex Domain

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Author : Yoshishige Haraoka
language : en
Publisher: Springer Nature
Release Date : 2020-11-16

Linear Differential Equations In The Complex Domain written by Yoshishige Haraoka and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-16 with Mathematics categories.

This book provides a detailed introduction to recent developments in the theory of linear differential systems and integrable total differential systems. Starting from the basic theory of linear ordinary differential equations and integrable systems, it proceeds to describe Katz theory and its applications, extending it to the case of several variables. In addition, connection problems, deformation theory, and the theory of integral representations are comprehensively covered. Complete proofs are given, offering the reader a precise account of the classical and modern theory of linear differential equations in the complex domain, including an exposition of Pfaffian systems and their monodromy problems. The prerequisites are a course in complex analysis and the basics of differential equations, topology and differential geometry. This book will be useful for graduate students, specialists in differential equations, and for non-specialists who want to use differential equations.

Ordinary Differential Equations And Stability Theory

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Author : David A. Sanchez
language : en
Publisher: Courier Dover Publications
Release Date : 2019-09-18

Ordinary Differential Equations And Stability Theory written by David A. Sanchez and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-18 with Mathematics categories.

This brief modern introduction to the subject of ordinary differential equations emphasizes stability theory. Concisely and lucidly expressed, it is intended as a supplementary text for advanced undergraduates or beginning graduate students who have completed a first course in ordinary differential equations. The author begins by developing the notions of a fundamental system of solutions, the Wronskian, and the corresponding fundamental matrix. Subsequent chapters explore the linear equation with constant coefficients, stability theory for autonomous and nonautonomous systems, and the problems of the existence and uniqueness of solutions and related topics. Problems at the end of each chapter and two Appendixes on special topics enrich the text.

Galois Theory Of Linear Differential Equations

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Author : Marius van der Put
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Galois Theory Of Linear Differential Equations written by Marius van der Put and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

From the reviews: "This is a great book, which will hopefully become a classic in the subject of differential Galois theory. [...] the specialist, as well as the novice, have long been missing an introductory book covering also specific and advanced research topics. This gap is filled by the volume under review, and more than satisfactorily." Mathematical Reviews

The Qualitative Theory Of Ordinary Differential Equations

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Author : Fred Brauer
language : en
Publisher: Courier Corporation
Release Date : 2012-12-11

The Qualitative Theory Of Ordinary Differential Equations written by Fred Brauer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-11 with Mathematics categories.

Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and dependence on parameters. Focuses on stability theory and its applications to oscillation phenomena, self-excited oscillations, more. Includes exercises.