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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (Hardcover, 1st ed. 2016)
Loot Price: R1,539
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (Hardcover, 1st ed. 2016)
Series: PoliTO Springer Series
Expected to ship within 10 - 15 working days
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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.
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