[PDF] Top 20 Oscillation criteria for a certain second order nonlinear perturbed differential equations

... of oscillation theory plays an important role in physi- cal science and technology; for example in the oscillation of building or machine, electro- magnetic vibration in radio technology and optical ... See full document

... Equations (.), (.), and (.) are special cases of (.). Note that Theorems . and . are Kamenev-type or Philos-type (see []) criteria for (.). The natural question now is: Can one apply methods ... See full document

... difference equations, and dynamic equations on time scales have an enor- mous potential for applications in biology, engineering, economics, physics, neural net- works, social sciences, ...of ... See full document

... Equations of this type arise in a number of important applications such as problems in population dynamics when maturation and gestation are included, in cobweb mod- els, in economics where demand depends on the ... See full document

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

... differential equations is becoming more and more ...in order to detect the fractional model of nonlinear wave-like ...non-integer order. In addition, fractional differential equations ... See full document

... several oscillation results were established for different kinds of impulsive delay differential equations (see Agarwal and Karakoc ...interval oscillation of impulsive delay ... See full document

... This paper is organized as follows. In Section , we give general solutions of a discrete version of the Riemann-Weber generalization of Euler differential equation and decide an oscillation constant for 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

... 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 an ... 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

... new oscillation criteria for the second-order nonlinear delay dynamic equations on time ...the oscillation of the second-order nonlinear delay ... 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

... Differential equations with delayed and advanced arguments (also called mixed differential equations or equations with mixed arguments) occur in many problems of economy, biology and ... See full document

... where ∞ r –1/ γ (s) ds = ∞. Based on the comparison with first order delay equations and by employ the Riccati substitution technique, we improve and complement a number of well-known results. Some examples ... 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 ...for oscillation ... 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

... Asymptotic Behavior of olutlons of Fourth Order Nonlinear Differential Equations, Proc.. An Oscillation Criterion for a Fourth Order Integrally Superllnear Differential Equation, Attl.[r] ... See full document

... “Oscillation Criteria for Second Order Nonlinear Perturbed Differential Equations,” Jour- nal of Mathematical Analysis and Applications, ...for Second- ... See full document

... the oscillation of solutions for different classes of second order dif- ferential ...the oscillation problem for ...the nonlinear equations with damping ... See full document