Global attractor for the one dimensional wave equation with displacement dependent damping

Khanmamedov A.

APPLIED MATHEMATICS LETTERS, cilt.25, sa.3, ss.439-442, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2011.09.032
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.439-442
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly positive near the origin then this equation possesses a global attractor. (C) 2011 Elsevier Ltd. All rights reserved.