TY  - BOOK
AU  - Barbu,Viorel
ED  - SpringerLink (Online service)
TI  - Differential Equations
T2  - Springer Undergraduate Mathematics Series,
SN  - 9783319452616
AV  - QA372 
U1  - 515.352 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Differential Equations
KW  - Systems theory
KW  - Differential equations, partial
KW  - Ordinary Differential Equations
KW  - Systems Theory, Control
KW  - Partial Differential Equations
N1  - Introduction -- Existence and uniqueness for the Cauchy problem -- Systems of linear differential equations -- Stability theory -- Prime integrals and first-order partial differential equations
N2  - 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
UR  - https://doi.org/10.1007/978-3-319-45261-6
ER  -