Systems of Linear Differential Equations

Igor Kriz and Aleš Pultr
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Igor Kriz: University of Michigan, Department of Mathematics
Aleš Pultr: Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics

Chapter 7 in Introduction to Mathematical Analysis, 2013, pp 175-191 from Springer

Abstract: Abstract Systems of linear differential equations have many special properties, the most important of which is that a characteristic is defined in any open interval in which the system is defined (in contrast with ODE, see Example 4.4.1 of Chapter 6). In this chapter, we prove this important “no blow-up” theorem, and discuss the linear character of the set of solutions. We also describe a method for solving completely the important class of systems of linear differential equations with constant coefficients.

Date: 2013
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DOI: 10.1007/978-3-0348-0636-7_7

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