Periodic solutions of the higher-dimensional non-autonomous systems

M. Koch, A. Yediler, D. Lienert, G. Insel, A. Kettrup

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this paper, the new existence theorem, unique theorem of periodic solution of the periodic system ẋ = A (t,x)x+g(t,x) and new stationary oscillation theorem of the periodic system ẋ = f(t,x)+g(t,x) are derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation.

Original languageEnglish
Pages (from-to)369-382
Number of pages14
JournalApplied Mathematics and Computation
Volume130
Issue number2-3
DOIs
Publication statusPublished - 15 Aug 2002

Keywords

  • Existence
  • Non-autonomous
  • Periodic solution
  • Stationary oscillation
  • Uniqueness

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