Oscillation criterions
Oscillation for a class of second-order Emden-Fowler delay dynamic equations on time scales.
Oscillation for advanced differential equations with oscillating coefficients.
Oscillation for equations with positive and negative coefficients and distributed delay. II: Applications.
Oscillation for forced second-order nonlinear dynamic equations on time scales.
Oscillation for higher order nonlinear ordinary differential equations with impulses.
Oscillation for second-order nonlinear delay dynamic equations on time scales.
Oscillation for third-order nonlinear differential equations with deviating argument.
Oscillation in deviating differential equations using an iterative method
Sufficient oscillation conditions involving and for first-order differential equations with non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Grönwall inequality. Examples, numerically solved in MATLAB, are also given to illustrate the applicability and strength of the obtained conditions over known ones.
Oscillation in linear differential equations
Oscillation in neutral equations with an “integrally small” coefficient.
Oscillation in neutral partial functional-differential equations and inequalities.
Oscillation in second order functional equations with deviating arguments.
Oscillation in second order linear delay differential equations with nonlinear impulses
Oscillation of a class of higher order neutral differential equations
In this paper, we investigate a class of higher order neutral functional differential equations, and obtain some new oscillatory criteria of solutions.
Oscillation of a forced higher order equation
We state and prove two oscillation results which deal with bounded solutions of a forced higher order differential equation. One proof involves the use of a nonlinear functional.
Oscillation of a forced nonlinear differential equation
Oscillation of a higher order neutral differential equation with a sub-linear delay term and positive and negative coefficients
We obtain sufficient conditions for every solution of the differential equation to oscillate or to tend to zero as approaches infinity. In particular, we extend the results of Karpuz, Rath and Padhy (2008) to the case when has sub-linear growth at infinity. Our results also apply to the neutral equation when has sign changes. Both bounded and unbounded solutions are consideted here; thus some known results are expanded.
Oscillation of a second order delay differential equations
In this paper, we study the oscillatory behavior of the solutions of the delay differential equation of the form The obtained results are applied to n-th order delay differential equation with quasi-derivatives of the form
Oscillation of Bôcher's pairs with respect to halflinear second order diff. equ.-s