Special boundary approximation methods for laplace equation problems with boundary singularities - Applications to the motz problem

  • Authors:
  • Z. C. Li;Y. L. Chan;G. C. Georgiou;C. Xenophontos

  • Affiliations:
  • Department of Applied Mathematics and Department of Computer Science and Engineering National Sun Yat-sen University Kaohsiung, Taiwan 80242 and National Center for Theoretical Science, Taiwan;Department of Applied Mathematics and Department of Computer Science and Engineering National Sun Yat-sen University Kaohsiung, Taiwan 80242 and National Center for Theoretical Science, Taiwan;Department of Mathematics and Statistics University of Cyprus P.O. Box 20537, 1678 Nicosia, Cyprus;Department of Mathematical Sciences Loyola College 4501 N. Charles Street, Baltimore, MD 21210-2699, U.S.A.

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2006

Quantified Score

Hi-index 0.09

Visualization

Abstract

The Mackey-Glass equation, dNdt=r(t)N(g(t))1+N(g(t))^@c-b(t)N(t), is considered, with variable coefficients and a nonconstant delay. Under rather natural assumptions all solutions are positive and bounded. Persistence and extinction conditions are presented ...