TY - GEN AU - Barbu, Viorel TI - Differential equations SN - 9783319452609 U1 - 515.352 PY - 2016/// CY - Cham, Switzerland PB - Springer KW - Partial Differential Equation KW - Mathematics KW - Ordinary Differential Equation KW - Control System theory 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 ER -