A NECESSARY AND SUFFICIENT CONDITION FOR OSCILLATION OF SECOND ORDER SUBLINEAR DELAY DYNAMIC EQUATIONS

Mert R., Zafer A.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, vol.31, pp.1061-1067, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 31
  • Publication Date: 2011
  • Journal Name: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1061-1067
  • Keywords: Time scale, Sublinear, Second order, Delay, Oscillation, Nonoscillation
  • Middle East Technical University Affiliated: Yes

Abstract

Time scale calculus approach allows one to treat the continuous, discrete, as well as more general systems simultaneously. In this article we use this tool to establish a necessary and sufficient condition for the oscillation of a class of second order sublinear delay dynamic equations on time scales. Some well known results in the literature are improved and extended.