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Volume 15,     Number 4,     Winter 2007

 

SOME NEW COMPARISON RESULTS FOR
SECOND ORDER LINEAR DYNAMIC
EQUATIONS
JIA BAOGUO, LYNN ERBE AND ALLAN PETERSON

Abstract. We obtain two comparison theorems for second order linear dynamic equations on a time scale. These results improve recent comparison theorems (see Erbe, Peterson and Řehák [11]).The main interest is in the case when the coefficient functions are not of one sign for large t. Several examples are given to show that our results are new even in the continuous case.

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© 2007, Canadian Applied Mathematics Quarterly (CAMQ)