TY  - BOOK
AU  - Camporesi,Roberto
ED  - SpringerLink (Online service)
TI  - An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
T2  - PoliTO Springer Series,
SN  - 9783319496672
AV  - QA372 
U1  - 515.352 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Differential Equations
KW  - Mathematical optimization
KW  - Matrix theory
KW  - Ordinary Differential Equations
KW  - Calculus of Variations and Optimal Control; Optimization
KW  - Linear and Multilinear Algebras, Matrix Theory
N2  - This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients
UR  - https://doi.org/10.1007/978-3-319-49667-2
ER  -