ordinary differential equations dover books on mathematics

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Ordinary Differential Equations

Author : Morris Tenenbaum
ISBN : 9780486649405
Genre : Mathematics
File Size : 20. 66 MB
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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.

An Introduction To Ordinary Differential Equations

Author : Earl A. Coddington
ISBN : 9780486131832
Genre : Mathematics
File Size : 63. 61 MB
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A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic calculus for a background. Includes many exercises and problems, with answers. Index.

Ordinary Differential Equations And Stability Theory

Author : David A. Sánchez
ISBN : 9780486638287
Genre : Mathematics
File Size : 81. 7 MB
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Beginning with a general discussion of the linear equation, topics developed include stability theory for autonomous and nonautonomous systems. Two appendices are also provided, and there are problems at the end of each chapter — 55 in all. Unabridged republication of the original (1968) edition. Appendices. Bibliography. Index. 55 problems.

Ordinary Differential Equations And Their Solutions

Author : George Moseley Murphy
ISBN : 9780486485911
Genre : Mathematics
File Size : 72. 47 MB
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This treatment presents most of the methods for solving ordinary differential equations and systematic arrangements of more than 2,000 equations and their solutions. The material is organized so that standard equations can be easily found. Plus, the substantial number and variety of equations promises an exact equation or a sufficiently similar one. 1960 edition.

The Qualitative Theory Of Ordinary Differential Equations

Author : Fred Brauer
ISBN : 9780486151519
Genre : Mathematics
File Size : 37. 4 MB
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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.

Existence Theorems For Ordinary Differential Equations

Author : Francis J. Murray
ISBN : 9780486154954
Genre : Mathematics
File Size : 65. 90 MB
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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.

Ordinary Differential Equations

Author : Richard K. Miller
ISBN : 9780486462486
Genre : Mathematics
File Size : 66. 9 MB
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Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem. Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.

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