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Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

2000 Mathematics
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Release : 2000
Genre : Mathematics
Kind : eBook
Book Rating : 901/5 ( reviews)

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Book Synopsis Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations by : Werner Balser

Download or read book Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations written by Werner Balser. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series.

Ordinary and Partial Differential Equations

2008-11-13 Mathematics
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Release : 2008-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis Ordinary and Partial Differential Equations by : Ravi P. Agarwal

Download or read book Ordinary and Partial Differential Equations written by Ravi P. Agarwal. This book was released on 2008-11-13. Available in PDF, EPUB and Kindle. Book excerpt: In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are explained with clarity and rigor, using fully worked-out examples and helpful illustrations. Exercises are provided at the end of each chapter for practice. The treatment of ODEs is developed in conjunction with PDEs and is aimed mainly towards applications. The book covers important applications-oriented topics such as solutions of ODEs in form of power series, special functions, Bessel functions, hypergeometric functions, orthogonal functions and polynomials, Legendre, Chebyshev, Hermite, and Laguerre polynomials, theory of Fourier series. Undergraduate and graduate students in mathematics, physics and engineering will benefit from this book. The book assumes familiarity with calculus.

Differential Equations

2016-11-16 Mathematics
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Release : 2016-11-16
Genre : Mathematics
Kind : eBook
Book Rating : 614/5 ( reviews)

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Book Synopsis Differential Equations by : Viorel Barbu

Download or read book Differential Equations written by Viorel Barbu. This book was released on 2016-11-16. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.

Theory and Examples of Ordinary Differential Equations

2011 Mathematics
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Release : 2011
Genre : Mathematics
Kind : eBook
Book Rating : 122/5 ( reviews)

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Book Synopsis Theory and Examples of Ordinary Differential Equations by : Chin-Yuan Lin

Download or read book Theory and Examples of Ordinary Differential Equations written by Chin-Yuan Lin. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered in this book with clear proofs for the theoretical results and with detailed solutions for the examples and problems. This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines. As a handy reference, advanced knowledge is provided in this book with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.

Differential Equations

2013-10-30 Mathematics
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Release : 2013-10-30
Genre : Mathematics
Kind : eBook
Book Rating : 643/5 ( reviews)

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Book Synopsis Differential Equations by : H. S. Bear

Download or read book Differential Equations written by H. S. Bear. This book was released on 2013-10-30. Available in PDF, EPUB and Kindle. Book excerpt: First-rate introduction for undergraduates examines first order equations, complex-valued solutions, linear differential operators, the Laplace transform, Picard's existence theorem, and much more. Includes problems and solutions.

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