Oscillation of a forced higher order equation

Oscillation criteria for a forced second order nonlinear dynamic equation

In this paper, we will establish some new interval oscillation criteria for forced second-order nonlinear dynamic equation (p(t)x(t)) + q(t)|xσ(t)|γsgn x(t) = f(t), t ∈ [a, b], on a time scale T where γ ≥ 1. As a special case when T = R our results not only include the oscillation results for second-order differential equations established by Wong (J. Math. Anal. Appl., 231 (1999) 233-240) and ...

Forced oscillation of higher-order nonlinear differential equations

Some new criteria have been established for the oscillation of higher-order forced nonlinear differential equation of the form Lnx(t) + q(t)F(x(t)) = e(t) according to the smart choice of a class of new auxiliary functions. No restriction is imposed on the forcing term e(t) as those assumed in [A.G. Kartsatos, Maintenance of oscillations under the effect of a periodic forcing term, Proc. Amer. ...

Forced oscillation of higher order nonlinear difference equations

This paper considers the oscillation problem for forced nonlinear difference equations of the form 0096-3 doi:10 * Co E-m Dxn þ qnf ðxn sÞ 1⁄4 en: We study three cases: qn P 0, qn < 0 and qn is oscillatory. No restriction assumed in known literatures is imposed on the forcing term en. 2006 Elsevier Inc. All rights reserved.

Forced Oscillation for Higher Order Functional Differential Equations

We establish some oscillation criteria for the solutions to forced higher-order differential equations. We do not assume that the forcing term is the n-th derivative of an oscillatory function, and do not assume that the coefficients are of a definite sign. Our results are illustrated with examples.

Oscillation Criteria of Solution for a Second Order Difference Equation with Forced Term