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Linear Differential Equations and Function Spaces (Pure and Applied Mathematics, Vol 2): Jose L. Massera, Juan F. Schaffer

This book presents in systematic and detailed form the recent studies of the authors concerning linear ordinary differential equations in the real domain.

Rounding off the development of an idea going back to the work of O. Perron (1930), the theory prsented here thoroughly discusses, in the central part of the book, relations between properties of the non-homogeneous equation - typically, ``admissibility" of a pair of function spaces, i.e., the property of the equation having, for each ``second member" in one space, at least one solution in the other - and the behavior of the solutions of the homogeneous equation - typically a ``dichotomy" or an ``exponential dichotomy", i.e., a kind of uniform conditional stability, ordinary or asymptotic, respectively. There are additional chapters on several connected topics, e.g., almost periodic equations and periodic equations.

Considerable emphasis is placed on the methods of functional analysis and on the use of function spaces. The theory is developed for equations in a Banach space, but its significance does not depend on this generalization of the usual finite-dimensional setting.

The book is addressed primarily to readers interested in ordinary differential equations, who will be best prepared to understand its motivation; but no specialized knowledge in this field is required. In functional analysis, a working aquaintance with Banach-space theory, both ``soft" and ``hard" (but no intimate knowledge of operator theory) is assumed.

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	Science/Engineering Differential Equations, Dynamical Systems, and Linear Algebra (Pure and Applied Mathematics (Academic Press), 60.) ISBN: 0123495504Title: Differential Equations, Dynamical Systems, and Linear Algebra(Pure and Applied Mathematics (Academic Press), 60)Author: Morris Hirsch Stephen SmalePublisher: Academic PressPublication Date: 1974-06Number Of Pages: 358 ...
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	Science/Engineering Problems and Examples in Differential Equations (Pure and Applied) (Pure and Applied Mathematics) Piotr Biler, Tadeusz Nadzieja,"Problems and Examples in Differential Equations"CRC \| July 21, 1992 \| DJVU \| ISBN: 0824786378 \| 264 pages \| 1.7mbThis practical textbook provides a very good reading with excellent bibliographical references f ...

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	Science/Engineering Differential Equations, Dynamical Systems, and Linear Algebra (Pure and Applied Mathematics (Academic Press), 60.) ISBN: 0123495504Title: Differential Equations, Dynamical Systems, and Linear Algebra(Pure and Applied Mathematics (Academic Press), 60)Author: Morris Hirsch Stephen SmalePublisher: Academic PressPublication Date: 1974-06Number Of Pages: 358 ...
	Basic Linear Partial Differential Equations (Pure & Applied Mathematics) Basic Linear Partial Differential Equations (Pure & Applied Mathematics) Publisher: Academic Pr \| ISBN: 0126994404 \| edition 1975 \| PDF \| 469 pages \| 16,9 mb Focusing on the archetypes of linear partial differential equations, this text ...
	Science/Engineering Partial Differential Equations of Applied Mathematics (Pure and Applied Mathematics Partial Differential Equations of Applied Mathematics (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts): Erich Zauderer John Wiley & Sons \| ISBN: 0471612987 \| 1989-06 \| djvu (ocr) \| 891 pages \| 16. ...
	Science/Engineering Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics) Differential Equations in Banach Spaces (Lecture Notes in Pure and Applied Mathematics)Publisher: CRC; 1 edition (August 5, 1993) \| ISBN-10: 0824790677 \| 288 pages \| DjVu \| 5.93 MBThis reference - based on the Conference on Differential Equ ...
	Science/Engineering Function Spaces (Lecture Notes in Pure and Applied Mathematics) Function Spaces (Lecture Notes in Pure and Applied Mathematics)Publisher: CRC; 1 edition (July 19, 1995) \| ISBN-10: 0824796659 \| 408 pages \| DjVu \| 9.7 MBThis unique reference presents the proceedings of the Second Conference on Function Sp ...
	Science/Engineering Problems and Examples in Differential Equations (Pure and Applied) (Pure and Applied Mathematics) Piotr Biler, Tadeusz Nadzieja,"Problems and Examples in Differential Equations"CRC \| July 21, 1992 \| DJVU \| ISBN: 0824786378 \| 264 pages \| 1.7mbThis practical textbook provides a very good reading with excellent bibliographical references f ...

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