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024 7 $a10.1007/978-3-319-45261-6
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100   $a20161117d2016      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDifferential Equations /$fby Viorel Barbu
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XI, 224 p. 16 illus.)
225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085
311   $a3-319-45260-6 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations.
330   $aThis textbook is a comprehensive treatment of ordinary differential equations, concisely presenting basic and essential results in a rigorous manner. Including various examples from physics, mechanics, natural sciences, engineering and automatic theory, Differential Equations is a bridge between the abstract theory of differential equations and applied systems theory. Particular attention is given to the existence and uniqueness of the Cauchy problem, linear differential systems, stability theory and applications to first-order partial differential equations. Upper undergraduate students and researchers in applied mathematics and systems theory with a background in advanced calculus will find this book particularly useful. Supplementary topics are covered in an appendix enabling the book to be completely self-contained.
410  0$aSpringer Undergraduate Mathematics Series,$x1615-2085
606   $aDifferential equations
606   $aSystem theory
606   $aDifferential equations, Partial
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aDifferential equations.
615  0$aSystem theory.
615  0$aDifferential equations, Partial.
615 14$aOrdinary Differential Equations.
615 24$aSystems Theory, Control.
615 24$aPartial Differential Equations.
676   $a515.353
700   $aBarbu$b Viorel$4aut$4http://id.loc.gov/vocabulary/relators/aut$013745
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254071303321
996   $aDifferential equations$91523264
997   $aUNINA