Oscillation of even order nonlinear dynamic equations on time-scales

Abstract

In this paper, the authors discuss the oscillatory behavior of solutions to a class of even order nonlinear dynamic equations on time scales. The results are established by a comparison with n-th order delay dynamic inequalities or first-order delay dynamic equations whose oscillatory characters are known. Several corollaries are obtained for special cases.

Keywords

• oscillation
• super-linear neutral term
• dynamic equations