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Periodic solutions for some delay differential equations appearing in models of power systems

Tom 86 / 2005

Bingwen Liu, Lihong Huang Annales Polonici Mathematici 86 (2005), 153-164 MSC: 34C25, 34D40, 34K15. DOI: 10.4064/ap86-2-5

Streszczenie

The authors use coincidence degree theory to establish some new results on the existence of $T$-periodic solutions for the delay differential equation $$ x' '(t)+a_{1}x'(t)+a_{2}(x^{n}(t))'+a_{3}x(t)+a_{4}x(t-\tau ) +a_{5}x^{n}(t)+a_{6}x^{n}(t-\tau ) =f(t), $$ which appears in a model of a power system. These results are of practical significance.

Autorzy

  • Bingwen LiuDepartment of Mathematics
    Hunan University of Arts and Science
    Changde, Hunan 415000, P.R. China
    e-mail
  • Lihong HuangCollege of Mathematics and Econometrics
    Hunan University
    Changsha 410082, P.R. China

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