01339nam0 22003251i 450 UON0006874420231205102341.87008-697-5281-220020107d1987 |0itac50 baengZA|||| |||||Class, community and conflictSouth African perspectivesEdited by Belinda BozzoliJohannesburgRavan Press1987xx, 573 p., p. di tav.22 cmFondo Triulzi 60%IT-UONSI AAST/128001UON000657002001 History workshop seriesRaphael Samuel, General editor3AFRICA MERIDIONALEPoliticaUONC018834FICLASSI SOCIALIAfrica MeridionaleUONC018835FIJohannesburgUONL000659320.968POLITICA E GOVERNO DEL SUDAFRICA21305.5Classi sociali21BOZZOLIBelindaUONV042734Ravan PressUONV256788650ITSOL20240220RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00068744SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI AA ST 128 SI AA 11666 7 128 Fondo Triulzi 60%Class, community and conflict1161634UNIOR04217nam 22006495 450 991086109590332120240519125435.03-031-51652-410.1007/978-3-031-51652-8(MiAaPQ)EBC31345735(Au-PeEL)EBL31345735(CKB)32074497100041(DE-He213)978-3-031-51652-8(EXLCZ)993207449710004120240519d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierOrdinary Differential Equations with Applications /by Carmen Chicone3rd ed. 2024.Cham :Springer International Publishing :Imprint: Springer,2024.1 online resource (xxii, 729 pages) illustrationsTexts in Applied Mathematics,2196-9949 ;343-031-51651-6 Includes bibliographical references and index.Ordinary Differential Equations -- Linear Systems and Stability of Nonlinear Systems -- Applications -- Hyperbolic Theory -- Continuation of Periodic Solutions -- Homoclinic Orbits, Melnikov’s Method, and Chaos -- Averaging -- Local Bifurcation.This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré–Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman–Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov’s center theorem. New sections present discussions of global bifurcation, the Crandall–Rabinowitz theorem, and Alekseev’s formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. Reviews of the first edition: “As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.”—F. Verhulst, SIAM Review “The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.” —D. S. Shafer, Mathematical Reviews.Texts in Applied Mathematics,2196-9949 ;34Mathematical analysisDynamicsSystem theoryMathematical physicsAnalysisDynamical SystemsComplex SystemsAnalysisTheoretical, Mathematical and Computational PhysicsMathematical analysis.Dynamics.System theory.Mathematical physics.Analysis.Dynamical Systems.Complex Systems.Analysis.Theoretical, Mathematical and Computational Physics.515/.35Chicone Carmen Charles62296MiAaPQMiAaPQMiAaPQBOOK9910861095903321Ordinary differential equations with applications374578UNINA