Author: William T. Reid
Publisher: Springer Science & Business Media
ISBN: 1461261104
Category : Mathematics
Languages : en
Pages : 575
Book Description
Sturmian Theory for Ordinary Differential Equations
Author: William T. Reid
Publisher: Springer Science & Business Media
ISBN: 1461261104
Category : Mathematics
Languages : en
Pages : 575
Book Description
Publisher: Springer Science & Business Media
ISBN: 1461261104
Category : Mathematics
Languages : en
Pages : 575
Book Description
Sturmian Theory for Ordinary Differential Equations
Author: William T. Reid
Publisher: Springer
ISBN: 9781461261117
Category : Mathematics
Languages : en
Pages : 560
Book Description
Publisher: Springer
ISBN: 9781461261117
Category : Mathematics
Languages : en
Pages : 560
Book Description
Sturmian Theory of Ordinary and Partial Differential Equations
Author: Pui-kei Wong
Publisher:
ISBN:
Category : Differential equations, Ordinary
Languages : en
Pages : 234
Book Description
Publisher:
ISBN:
Category : Differential equations, Ordinary
Languages : en
Pages : 234
Book Description
Ordinary Differential Equations in Theory and Practice
Author: Robert Mattheij
Publisher: SIAM
ISBN: 0898715318
Category : Mathematics
Languages : en
Pages : 408
Book Description
In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role. Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems.
Publisher: SIAM
ISBN: 0898715318
Category : Mathematics
Languages : en
Pages : 408
Book Description
In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role. Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems.
Ordinary Differential Equations
Author: Edward L. Ince
Publisher: Courier Corporation
ISBN: 0486158217
Category : Mathematics
Languages : en
Pages : 580
Book Description
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.
Publisher: Courier Corporation
ISBN: 0486158217
Category : Mathematics
Languages : en
Pages : 580
Book Description
Among the topics covered in this classic treatment are linear differential equations; solution in an infinite form; solution by definite integrals; algebraic theory; Sturmian theory and its later developments; much more. "Highly recommended" — Electronics Industries.
Ordinary Differential Equations
Author: J. Kurzweil
Publisher: Elsevier
ISBN: 1483297659
Category : Mathematics
Languages : en
Pages : 441
Book Description
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.
Publisher: Elsevier
ISBN: 1483297659
Category : Mathematics
Languages : en
Pages : 441
Book Description
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.
Ordinary Differential Equations and Stability Theory:
Author: David A. Sanchez
Publisher: Courier Dover Publications
ISBN: 0486837599
Category : Mathematics
Languages : en
Pages : 179
Book Description
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.
Publisher: Courier Dover Publications
ISBN: 0486837599
Category : Mathematics
Languages : en
Pages : 179
Book Description
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.
Theory of Ordinary Differential Equations
Author: Randal H. Cole
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 304
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 304
Book Description
The Qualitative Theory of Ordinary Differential Equations
Author: Fred Brauer
Publisher: Courier Corporation
ISBN: 0486151514
Category : Mathematics
Languages : en
Pages : 325
Book Description
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.
Publisher: Courier Corporation
ISBN: 0486151514
Category : Mathematics
Languages : en
Pages : 325
Book Description
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.
Ordinary Differential Equations
Author: Philip Hartman
Publisher: SIAM
ISBN: 0898715105
Category : Mathematics
Languages : en
Pages : 643
Book Description
Covers the fundamentals of the theory of ordinary differential equations.
Publisher: SIAM
ISBN: 0898715105
Category : Mathematics
Languages : en
Pages : 643
Book Description
Covers the fundamentals of the theory of ordinary differential equations.