Linear Differential Equations: Existence and Uniqueness Theorems

David F. Delchamps
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David F. Delchamps: Cornell University, School of Electrical Engineering

Chapter 2 in State Space and Input-Output Linear Systems, 1998, pp 31-49 from Springer

Abstract: Abstract In this section, we prove the fundamental existyence and uniqueness theorems for first-order linear ordinary differential equation. The existence proof presented here is contructive; although it does not generalized readily to nonlinear differential equations, it has its advantages over more abstract approaches to the existence theorem.(See, for example, [Vidyasagar], or any other book which uses the Contraction Mapping Theorem to prove existence.)

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-3816-4_3

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DOI: 10.1007/978-1-4612-3816-4_3

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