Power comparison theorems for oscillation problems for second order differential equations with p(t)-Laplacian

A note on the oscillation problems for differential equations with $p(t)$-Laplacian

“…In recent years, increasing interest has been paid to the study of ordinary differential equations with p(t)-Laplacian. For example, we can find those results in [1,4,8,9,15,16,17,18] and the references cited therein.…”

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

“…On the other hand, classification of solutions and equations in terms of oscillation remains the same-a solution is called oscillatory if it has got infinitely many zeros tending to infinity, and non-oscillatory otherwise; and since oscillatory and non-oscillatory solutions cannot coexist, equations are classified as oscillatory or non-oscillatory according to their solutions. To refer to the most current results of the oscillation theory of (1), let us mention, for example, papers [2][3][4][5][6]. Because we are interested in the qualitative behavior of solutions of (1), we study it on a neighborhood of infinity, that is, on intervals of the form t ≥ t 0 , where t 0 is a real constant.…”