Langenhop's inequality and applications for dynamic equations


Kaymakcalan B., Zafer A.

ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, vol.27, pp.71-77, 2007 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 27
  • Publication Date: 2007
  • Title of Journal : ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
  • Page Numbers: pp.71-77

Abstract

A Langenhop-type inequality is given for dynamic equations on time scales. This result is further employed to obtain lower bounds for solutions of certain dynamic equations. As an application, usage of the derived Langenhop's inequality in determining the oscillatory behavior of a damped second order delay dynamic equation is illustrated. The results obtained are important in the qualitative sense.