03549nam 22006615 450 991029998540332120200704115319.03-319-11239-210.1007/978-3-319-11239-8(CKB)3710000000269649(SSID)ssj0001372787(PQKBManifestationID)11866425(PQKBTitleCode)TC0001372787(PQKBWorkID)11306070(PQKB)10726968(DE-He213)978-3-319-11239-8(MiAaPQ)EBC6311677(MiAaPQ)EBC5586571(Au-PeEL)EBL5586571(OCoLC)895258119(PPN)182098818(EXLCZ)99371000000026964920141021d2014 u| 0engurnn#008mamaatxtccrA Short Course in Ordinary Differential Equations /by Qingkai Kong1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XII, 267 p. 55 illus.)Universitext,0172-5939Bibliographic Level Mode of Issuance: Monograph3-319-11238-4 Includes bibliographical references & index.Preface -- Notation and Abbreviations -- 1. Initial Value Problems -- 2. Linear Differential Equations -- 3. Lyapunov Stability Theory -- 4. Dynamic Systems and Planar Autonomous Equations -- 5. Introduction to Bifurcation Theory -- 6. Second-Order Linear Equations -- Answers and Hints -- Bibliography -- Index.This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré—Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm—Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for senior undergraduates as well.Universitext,0172-5939Differential equationsDynamicsErgodic theoryOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XDifferential equations.Dynamics.Ergodic theory.Ordinary Differential Equations.Dynamical Systems and Ergodic Theory.515.352Kong Qingkaiauthttp://id.loc.gov/vocabulary/relators/aut721230MiAaPQMiAaPQMiAaPQBOOK9910299985403321Short course in ordinary differential equations1409947UNINA