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

... An important method in the study of oscillatory be- haviour for Equations (1.1)-(1.4) is the averaging tech- nique which comes from the classical results of Wintner [19] and Hartman [18]. Using the generalized ... 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 in the ... See full document

... of oscillation is the integral averaging ...most oscillation results in 1, 3, 5, 7, 11, 12 involved the function class ...function class H, denoted by H ∈ H, if H ∈ CD, R ∪ {0}, where D {t, s ... See full document

... h(τ) (n+(n − 1)/α)β q(τ)dτ = ∞ , (5.5) Theorem 4.1(i) implies that all solutions of (5.4) are oscillatory. Application of Theorem 4.3 then shows that all solutions of (5.3) are oscillatory, and the conclusion of the ... See full document

... In this paper, a class of second-order nonlinear perturbed differential equation and its special cases are studied. By using the generalized Riccati transformation and well-known techniques, ... See full document

... Thandapani, Oscillatory and nonoscillatory behavior of second order neutral delay difference equations, Math.. Thandapani, Oscillatory and nonoscillatory behavior of second order neutral[r] ... See full document

... SZMANDA, B., Oscillation Theorems for Nonlinear Second-order Difference Equations, J.. Li, Z.H., A Note on the Oscillatory Property for Nonlinear Difference Equations and Differentlal Eq[r] ... 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

... determining oscillation theorem for second order nonlinear difference equation has been the subject of investigation in ...difference equations of second order have been ... See full document

... differential equations with damping or distributed deviating arguments have become an important area of research due to the fact that such equations arise in many real life prob- lems; see the ... See full document

... that second order neutral functional differential equations have applications in problems dealing with vibrating masses attached to an elastic bar and in some variational ...functional ... See full document

... studying oscillation of solutions to different classes of differential equations due to the fact that they have numerous appli- cations in natural sciences and engineering; see, ...of ... See full document

... complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to its demonstrated applications in numerous seemingly diverse and widespread fields of science and ... See full document

... comparison theorems that permit to study properties of E via properties of the second-order differential equations, in the sense that the oscillation of the second-order ... See full document

... In this paper, we investigate the asymptotical behavior for a partial sum sequence of independent random variables, and we derive a law of the iterated logarithm type. It is worth to point out that the partial sum ... See full document

... 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

... Professor, Department of Mathematics, Kakatiya Institute of Technology and Science, Yerragutta, Warangal, India 1 Professor, Department of Mathematics, Sridevi Women’s Engineering College, Gandipet, Hyderabad, India 2 ... 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 be ... 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 an important branch of differential ...the oscillation theory of impulsive differential equations emerging as an important area of research, ... See full document