03206nam 22006135 450 991025407130332120200704040708.03-319-45261-410.1007/978-3-319-45261-6(CKB)3710000001006483(DE-He213)978-3-319-45261-6(MiAaPQ)EBC6315040(MiAaPQ)EBC5578803(Au-PeEL)EBL5578803(OCoLC)1052421206(PPN)197137806(EXLCZ)99371000000100648320161117d2016 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierDifferential Equations /by Viorel Barbu1st ed. 2016.Cham :Springer International Publishing :Imprint: Springer,2016.1 online resource (XI, 224 p. 16 illus.)Springer Undergraduate Mathematics Series,1615-20853-319-45260-6 Includes bibliographical references and index.Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations.This textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.Springer Undergraduate Mathematics Series,1615-2085Differential equationsSystem theoryPartial differential equationsOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Differential equations.System theory.Partial differential equations.Ordinary Differential Equations.Systems Theory, Control.Partial Differential Equations.515.353Barbu Viorelauthttp://id.loc.gov/vocabulary/relators/aut13745MiAaPQMiAaPQMiAaPQBOOK9910254071303321Ecuaţii diferenţiale2983459UNINA