Journal of Inequalities and Applications 
Volume 5 (2000), Issue 6, Pages 603-620
doi:10.1155/S1025583400000333

On Lyapunov inequality in stability theory for Hill’s equation on time scales

F. Merdivenci Atici,1 G. Sh. Guseinov,1 and B. Kaymakçalan2

 1Department of Mathematics, Ege Universtiy, Bornova, Izmir 35100, Turkey
2Department of Mathematics, Middle East Technical University, Ankara 06531, Turkey
Received 30 May 1999; Revised 3 September 1999

Abstract

In this paper we obtain sufficient conditions for instability and stability to hold for second order linear Δ-differential equations on time scales with periodic coefficients.