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


Khanmamedov A.

APPLIED MATHEMATICS LETTERS, cilt.25, ss.439-442, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 25 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.aml.2011.09.032
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.439-442

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.