[PDF] Top 20 4. Oscillation Criteria for a Class of Second Order Nonlinear Differential Equations with Damping

... We have two aims in this paper. The first aim is to remove the condition (1.5) in Theorem 1.1 and to demonstrate this with an example. The second goal is to extend the technique developed by Rogovchenko and Tuncay ... See full document

... interval oscillation criteria for a class of nonlinear fractional differential equations with nonlinear damping ...fractional differential equations ... See full document

... We obtain several oscillation criteria for a class of second-order nonlinear neutral differential equations. New theorems extend a number of related results reported in the ... See full document

... interval oscillation criteria for a class of second-order nonlinear forced differential equations with variable exponent growth ...the oscillation of ... See full document

... Euler equations with variable damping coefficient ...type equations with fractional damping ...with damping [9, 20–22] and the half-linear advanced differential equation [4] would ... See full document

... are considered. Our results will improve and extend results in (Baoguo et al. in Can. Math. Bull. 54:580-592, 2011; Bohner et al. in J. Math. Anal. Appl. 301:491-507, 2005; Hassan et al. in Comput. Math. Anal. ... See full document

... S.enel, Oscillation theorems for the second order damped nonlinear dynamic equation on time scales, Contemp. Zhang, Oscillation of second-order half-linear delay dynamic equations with d[r] ... See full document

... a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral ...differential equations. New oscillation criteria are established that ... See full document

... a class of second-order nonlinear perturbed differential equation and its special cases are ...new oscillation criteria are ... See full document

... a class of function H ∈ H and a generalized Riccati transformation technique, Rogovchenko and Tuncay studied the oscillation of ...the class H ... See full document

... Remark . In this paper, we present some new oscillation criteria for the differential equation with a linear damping term (.). Our theorems can be applied to the cases where p ≥ , p ≤ , or p is ... See full document

... a class of second-order nonlinear differential equations with damping ...new oscillation criteria are obtained for every solution of the equations to ... 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

... a class of second-order nonlinear differential equations with ...a class of functions, several oscillation criteria are presented that improve the results obtained ... See full document

... third order differential equations, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23], and the references cited ...[1, 4, 7, 8, 9, 15, ... See full document

... The oscillatory behavior of solutions of equation (1.2) has been discussed in many papers, see for example [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14] and the references cited therein. In [2, 14], the authors ... See full document

... differential equations are recognized as adequate mathematical models for studying evolution processes that are subject to abrupt changes in their states at certain ...the oscillation of all solutions of ... See full document

... the oscillation constant. Other results on the oscillation constant for difference equations can be found in [–] and the references cited ... See full document

... difference equations can be applied in several fields such as bifurcation analysis, population dynamics, stability theory, the dynamics of delayed network systems and ...difference equations has been ... See full document

... difference equations has been discussed in many ...the oscillation of the solutions to deterministic difference ...the oscillation of the solutions of stochastic difference ...the oscillation of ... See full document