On a nonstandard Volterra type dynamic integral equation on time scales.
On the existence of solutions for dynamic boundary value problems under barrier strips condition.
On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.
On the oscillation of second-order neutral delay differential equations.
Opial's type inequalities on time scales and some applications
We prove some new Opial type inequalities on time scales and employ them to prove several results related to the spacing between consecutive zeros of a solution or between a zero of a solution and a zero of its derivative for second order dynamic equations on time scales. We also apply these inequalities to obtain a lower bound for the smallest eigenvalue of a Sturm-Liouville eigenvalue problem on time scales. The results contain as special cases some results obtained for second order differential...
Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations.
Oscillation behavior of a class of second-order dynamic equations with damping on time scales.
Oscillation behavior of third-order neutral Emden-Fowler delay dynamic equations on time scales.
Oscillation criteria for a class of second-order neutral delay dynamic equations of Emden-Fowler type.
Oscillation criteria for second order impulsive dynamic equations on time scales.
Oscillation criteria for second-order forced dynamic equations with mixed nonlinearities.
Oscillation criteria for second-order neutral delay dynamic equations with mixed nonlinearities.
Oscillation criteria for second-order quasilinear neutral delay dynamic equations on time scales.
Oscillation criteria for third order nonlinear delay dynamic equations on time scales
By means of Riccati transformation technique, we establish some new oscillation criteria for third-order nonlinear delay dynamic equations on a time scale ; here γ > 0 is a quotient of odd positive integers and p a real-valued positive rd-continuous function defined on . Our results not only extend and improve the results of T. S. Hassan [Math. Comput. Modelling 49 (2009)] but also unify the results on oscillation of third-order delay differential equations and third-order delay difference...
Oscillation criteria of second order neutral delay dynamic equations with distributed deviating arguments.
Oscillation for a class of second-order Emden-Fowler delay dynamic equations on time scales.
Oscillation for second-order nonlinear delay dynamic equations on time scales.
Oscillation of even order nonlinear delay dynamic equations on time scales
One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality...
Oscillation of second-order mixed-nonlinear delay dynamic equations.
Oscillation of second-order sublinear dynamic equations with damping on isolated time scales.