Asymptotic integration of second-order impulsive differential equations

Akgol S. D., Zafer A.

APPLIED MATHEMATICS LETTERS, cilt.76, ss.1-7, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.aml.2017.07.010
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-7
  • Anahtar Kelimeler: Second-order, Impulsive, Differential equation, Principal/nonprincipal solution, Asymptotic integration
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We initiate a study of the asymptotic integration problem for second-order nonlinear impulsive differential equations. It is shown that there exist solutions asymptotic to solutions of an associated linear homogeneous impulsive differential equation as in the case for equations without impulse effects. We introduce a new constructive method that can easily be applied to similar problems. An illustrative example is also given. (C) 2017 Elsevier Ltd. All rights reserved.