Langenhop's inequality and applications for dynamic equations

Kaymakcalan B., Zafer A.

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

  • Publication Type: Article / Article
  • Volume: 27
  • Publication Date: 2007
  • Journal Name: ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.71-77
  • Middle East Technical University Affiliated: Yes

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.