In this paper, some sufficient conditions for oscillation of the second-order nonlinear neutral delay dynamic equation (r(t)([y(t)+ p(t)y(t − )] ) ) + f (t, y(t − ))= 0, on a time scale T are established; here 1 is an odd positive integer with r(t) and p(t) are rd-continuous functions defined on T. Our results as a special case when T = R and T = N, involve and improve some well-known oscillati...

We study the existence of weak solutions for second-order boundary value problem of impulsive dynamic equations on time scales by employing critical point theory.

In this paper, Liapunov-type integral inequalities has been obtained for third order dynamic equations on time scales by using elementary analysis. A criterion for disconjugacy of third order dynamic equation is obtained in an interval [a, σ(b)].

In this paper, we estimate Liapunov-type integral inequalities for a single, cycled, and coupled dynamic system of one-dimensional p-Laplacian problems with weight functions having stronger singularities.