Advanced Ordinary Differential Equations

Advanced Ordinary Differential Equations
Author :
Publisher : Mancorp Publishing
Total Pages : 290
Release :
ISBN-10 : UOM:39015034443955
ISBN-13 :
Rating : 4/5 (55 Downloads)

Synopsis Advanced Ordinary Differential Equations by : Athanassios G. Kartsatos

Advanced Differential Equations

Advanced Differential Equations
Author :
Publisher : S. Chand Publishing
Total Pages : 1366
Release :
ISBN-10 : 9788121908931
ISBN-13 : 8121908930
Rating : 4/5 (31 Downloads)

Synopsis Advanced Differential Equations by : M.D.Raisinghania

This book is especially prepared for B.A., B.Sc. and honours (Mathematics and Physics), M.A/M.Sc. (Mathematics and Physics), B.E. Students of Various Universities and for I.A.S., P.C.S., AMIE, GATE, and other competitve exams.Almost all the chapters have been rewritten so that in the present form, the reader will not find any difficulty in understanding the subject matter.The matter of the previous edition has been re-organised so that now each topic gets its proper place in the book.More solved examples have been added so that now each topic gets its proper place in the book. References to the latest papers of various universities and I.A.S. examination have been made at proper places.

Advanced Ordinary Differential Equations

Advanced Ordinary Differential Equations
Author :
Publisher : CRC Press
Total Pages : 224
Release :
ISBN-10 : 0677009658
ISBN-13 : 9780677009650
Rating : 4/5 (58 Downloads)

Synopsis Advanced Ordinary Differential Equations by : Kurt Otto Friedrichs

Ordinary Differential Equations and Stability Theory:

Ordinary Differential Equations and Stability Theory:
Author :
Publisher : Courier Dover Publications
Total Pages : 179
Release :
ISBN-10 : 9780486837598
ISBN-13 : 0486837599
Rating : 4/5 (98 Downloads)

Synopsis Ordinary Differential Equations and Stability Theory: by : David A. Sanchez

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.

A Second Course in Elementary Differential Equations

A Second Course in Elementary Differential Equations
Author :
Publisher : Elsevier
Total Pages : 272
Release :
ISBN-10 : 9781483276601
ISBN-13 : 1483276600
Rating : 4/5 (01 Downloads)

Synopsis A Second Course in Elementary Differential Equations by : Paul Waltman

A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

Introduction to Ordinary Differential Equations

Introduction to Ordinary Differential Equations
Author :
Publisher : Academic Press
Total Pages : 444
Release :
ISBN-10 : 9781483226224
ISBN-13 : 1483226220
Rating : 4/5 (24 Downloads)

Synopsis Introduction to Ordinary Differential Equations by : Albert L. Rabenstein

Introduction to Ordinary Differential Equations is a 12-chapter text that describes useful elementary methods of finding solutions using ordinary differential equations. This book starts with an introduction to the properties and complex variable of linear differential equations. Considerable chapters covered topics that are of particular interest in applications, including Laplace transforms, eigenvalue problems, special functions, Fourier series, and boundary-value problems of mathematical physics. Other chapters are devoted to some topics that are not directly concerned with finding solutions, and that should be of interest to the mathematics major, such as the theorems about the existence and uniqueness of solutions. The final chapters discuss the stability of critical points of plane autonomous systems and the results about the existence of periodic solutions of nonlinear equations. This book is great use to mathematicians, physicists, and undergraduate students of engineering and the science who are interested in applications of differential equation.

Linear Ordinary Differential Equations

Linear Ordinary Differential Equations
Author :
Publisher : SIAM
Total Pages : 353
Release :
ISBN-10 : 1611971438
ISBN-13 : 9781611971439
Rating : 4/5 (38 Downloads)

Synopsis Linear Ordinary Differential Equations by : Earl A. Coddington

Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

Differential Equations

Differential Equations
Author :
Publisher : John Wiley & Sons
Total Pages : 736
Release :
ISBN-10 : UOM:39015015701132
ISBN-13 :
Rating : 4/5 (32 Downloads)

Synopsis Differential Equations by : Shepley L. Ross

Fundamental methods and applications; Fundamental theory and further methods;

Ordinary Differential Equations

Ordinary Differential Equations
Author :
Publisher : Courier Corporation
Total Pages : 852
Release :
ISBN-10 : 9780486649405
ISBN-13 : 0486649407
Rating : 4/5 (05 Downloads)

Synopsis Ordinary Differential Equations by : Morris Tenenbaum

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Existence Theorems for Ordinary Differential Equations

Existence Theorems for Ordinary Differential Equations
Author :
Publisher : Courier Corporation
Total Pages : 178
Release :
ISBN-10 : 9780486154954
ISBN-13 : 0486154955
Rating : 4/5 (54 Downloads)

Synopsis Existence Theorems for Ordinary Differential Equations by : Francis J. Murray

This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.