Principal and nonprincipal solutions of impulsive dynamic equations with applications

In this paper, we introduce the concept of principal and nonprincipal solutions for second order impulsive dynamic equations on time scales. Polya and Trench Factorizations play an important role in this article. Firstly we establish these factorizations. Using these factorizations, we establish some new oscillation criteria for second impulsive dynamic equations on time scales.