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Field name	Details
Dewey Class	515.352
Title	Asymptotic Behavior and Stability Problems in Ordinary Differential Equations ([EBook] /) / by Lamberto Cesari.
Author	Cesari, Lamberto
Other name(s)	SpringerLink (Online service)
Edition statement	Second Edition.
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1963.
Physical Details	36 illus. : online resource.
Series	Ergebnisse der Mathematik und ihrer Grenzgebiete 0071-1136 ; ; 16
ISBN	9783662001059
Summary Note	This second edition, which has become necessary within so short a time, presents no major changes. However new results in the line of work of the author and of J. K. HaIe have made it advisable to rewrite seetion (8.5). Also, some references to most recent work have been added. LAMBERTO CESARI University of Michigan June 1962 Ann Arbor Preface to the First Edition In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matie controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields.:
Contents note	I. The concept of stability and systems with constant coefficients -- § 1. Some remarks on the concept of stability -- § 2. Linear systems with constant coefficients -- II. Genes al linear systems -- § 3. Linear systems with variable coefficients -- § 4. Linear systems with periodic coefficients -- § 5. The second order linear differential equation and generalizations -- III. Nonlinear systems -- § 6. Some basic theorems on nonlinear systems and the first method of Lyapunov -- § 7. The second method of Lyapunov -- § 8. Analytical methods -- § 9. Analytic-topological methods -- IV. Asymptotic developments -- § 10. Asymptotic developments in general.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-662-00105-9
Links to Related Works	Subject References: Difference and Functional Equations . Difference equations . Differential Equations . Functional equations . Mathematics . Ordinary differential equations . Authors: Cesari, Lamberto . Corporate Authors: SpringerLink (Online service) . Series: Ergebnisse der Mathematik und ihrer Grenzgebiete . Classification: 515.352 .

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Asymptotic Behavior and Stability Problems in Ordinary Differential Equations

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