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Record Nr. |
UNINA9910254071303321 |
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Autore |
Barbu Viorel |
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Titolo |
Differential Equations / / by Viorel Barbu |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (XI, 224 p. 16 illus.) |
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Collana |
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Springer Undergraduate Mathematics Series, , 1615-2085 |
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Disciplina |
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Soggetti |
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Differential equations |
System theory |
Partial differential equations |
Ordinary Differential Equations |
Systems Theory, Control |
Partial Differential Equations |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations. |
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Sommario/riassunto |
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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. |
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