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Systems of Differential Equations

In: Advanced Mathematics for Engineers and Physicists

Author

Listed:
  • Sever Angel Popescu

    (Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science)

  • Marilena Jianu

    (Technical University of Civil Engineering of Bucharest, Department of Mathematics and Computer Science)

Abstract

This chapter is dedicated to systems of differential equations. We state and prove the existence and uniqueness theorem for the Cauchy problem in this case. Particular attention is paid to linear systems of differential equations and to the relation between a linear system of n equations and an n-th order linear equation. Autonomous systems are also studied, and, since first-order partial differential equations are closely related to autonomous systems, we present them in the last section of this chapter.

Suggested Citation

  • Sever Angel Popescu & Marilena Jianu, 2022. "Systems of Differential Equations," Springer Books, in: Advanced Mathematics for Engineers and Physicists, chapter 0, pages 101-189, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-21502-5_3
    DOI: 10.1007/978-3-031-21502-5_3
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