[PDF] Top 20 New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities

... Later, in 2007, Zheng and Meng [16], considering a more general Equation (4), improved the paper [2] and showed that the results obtained in [2] for Equation (3) can not be applied to the case  > 1 . The main ... See full document

... the second order nonlinear differential equations with damping ...the oscillation of the differential equation with damping term in our paper is of more practical ...on ... See full document

... Most oscillation results reported in the literature for neutral differential equation () and its particular cases have been obtained under the assumption () which significantly sim- plifies the analysis of ... See full document

... impulsive differential equations is an important branch of differential ...the oscillation theory of impulsive differential equations emerging as an important area of research, ... See full document

... some new oscillation criteria for the differential equation with a linear damping term ...main results can be applied to the cases where the deviating argument τ is delayed or ... See full document

... establish new oscillation criteria for nonlinear second order difference equations with mixed neutral ...first order equations whose oscillatory behaviors are already ... See full document

... on oscillation of equation () and more general equations (see [–] and the references ...differential equations and variational problems with variable exponent growth conditions have been ... See full document

... two new results for the even order sub-linear equation (when p(t) = ) and super-linear equation (when q(t) = ), ...classical results can also be obtained by the limiting process γ →  – and ... See full document

... have been studied extensively in recent years, see e.g. [1-21] and the references quoted therein. Moreover, in 2011, Wang [22] established some oscillation criteria for Equation (1.1) firstly, some new ... See full document

... of oscillation of differential equations, there are two techniques which are used to reduce the higher-order equations to the first-order Riccati equation or ...some new sufficient ... See full document

... of second-order nonlinear perturbed differential equation and its special cases are ...some new oscillation criteria are established. The results obtained essentially generalize and ... See full document

... The oscillation of ...mainly oscillation theory, the existence, uniqueness, and continuation of solutions are also ...several results related to the oscillation of ... See full document

... The purpose of this paper is to refine Theorem . in some cases and analyze the oscilla- tory behavior of solutions to (.) in the case when the integral in (.) is finite. This paper proceeds as follows: in Section , ... See full document

... study oscillation of a forced second-order neutral differential ...a new sufficient condition is obtained which insures that all solutions to the studied equation are ... See full document

... Differential equations of fractional order have recently proved to be valuable tools in the modeling of many phenomena in various fields of science and ...differential equations involving both ... See full document

... In [] Luo et al. and [] Guo et al. gave some excellent results on the oscillation and nonoscillation of Eq. (.) by using associated Riccati techniques and an equivalence trans- formation. Moreover, ... See full document

... the results obtained in [2-14] cannot be applied to these ...our results are new and applicable to neutral differential equations with positive forcing ... See full document

... Interval oscillation criteria are more natural in view of the Sturm comparison theory since it is stated on an interval rather than on infinite rays and hence it is necessary to establish more interval ... See full document

... OSCILLATION THEOREMS FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS.. GRACE Department of Mathematics P.[r] ... See full document

... impulsive differential equations is gradually occupying a central place among the theories of oscillations of impulsive differential ...impulsive differential equations play fundamental ... See full document