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Systems of Linear Differential Equations

In: Introduction to Mathematical Analysis

Author

Listed:
  • Igor Kriz

    (University of Michigan, Department of Mathematics)

  • Aleš Pultr

    (Charles University, Department of Applied Mathematics (KAM) Faculty of Mathematics and Physics)

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.

Suggested Citation

  • Igor Kriz & Aleš Pultr, 2013. "Systems of Linear Differential Equations," Springer Books, in: Introduction to Mathematical Analysis, edition 127, chapter 7, pages 175-191, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0636-7_7
    DOI: 10.1007/978-3-0348-0636-7_7
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