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.
Oscillation of solutions for third order functional dynamic equations.
Oscillation of solutions to impulsive dynamic equations on time scales.
Oscillatory behavior of quasilinear neutral delay dynamic equations on time scales.
Periodic solution of second-order Hamiltonian systems with a change sign potential on time scales.
Periodicity, almost periodicity for time scales and related functions
In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.
Periodicity of solutions to delayed dynamic equations with feedback control.
Permanence of a discrete periodic Volterra model with mutual interference and Beddington-DeAngelis functional response.
Positive periodic solutions for nonautonomous impulsive neutral functional differential systems with time-varying delays on time scales.
Positive solutions for system of first-order dynamic equations.
Positive solutions for third-order -Laplacian functional dynamic equations on time scales.