[PDF] Top 20 Oscillation of a nonlinear impulsive differential equation system with piecewise constant argument

... If x(n) < 0,x(n – 1) < 0, and x(n – 2) < 0 for n > N, then we obtain the same contradiction. So the component x(n) of the solution (x(n), y(n)) is oscillatory. Similarly, we can show that the component y(n) ... See full document

... study oscillation of Runge-Kutta methods for linear advanced impulsive differential equations with piecewise constant ...of oscillation and nonoscillation for Runge-Kutta ...the ... See full document

... In contrast to the study on the qualitative behavior of EPCA, the research on the numer- ical solution of EPCA has become a hot issue recently. Numerical stability of many kinds of EPCA was addressed in [–]. ... See full document

... where x (t) denotes the second order derivative of x(t), [t] denotes the greatest integer less than or equal to t, and g : R → R is a continuous or at least piecewise continuous function, is considered. In , ... See full document

... In this paper, we stated the existence and uniqueness of the solution of the initial value problem (1.1) − (1.3) . Moreover, we showed that the limit of this solution is a real constant and also we presented a ... See full document

... characteristic equation instead of on the function f. If ft is replaced by a nonlinear function gt, xt, xt, some results about the existence and uniqueness of almost-periodic solution or ... See full document

... [15] , A survey of differential equations with piecewise continuous arguments, Delay Dif- ferential Equations and Dynamical Systems (Claremont, CA, 1990), Lecture Notes in Math., vol. 1475, Springer, Berlin, 1991, ... See full document

... In this paper, we give sufficient conditions for the existence and uniqueness of asymp- totically ω -antiperiodic solutions for a nonlinear differential equation with piecewise constant ... See full document

... with piecewise constant argument, which were firstly considered by Cooke and Wiener 1 and Shah and Wiener 2, combine properties of both differential and difference equations and usually describe hybrid ... See full document

... Donev; Oscillation criteria for the solutions of a first order neutral nonconstant delay impulsive differential equations with variable coefficients, ...and oscillation of the solutions of a ... See full document

... neutral impulsive differential equation ( 1 . 1 ) with constant delay is a system consisting of a differential equation together with an impulsive condition in ... See full document

... of impulsive partial differential systems makes its beginning with the paper [8] in ...of impulsive partial differential systems has attracted more and more at- tention in the literature see, ... See full document

... delay differential equations w ith piecewise constant a rgum ents of th e form x"(t) + px "( t - 1) = qx(2[£+-]) + f (t), w here [■] denotes the greatest integ er function, p and q are ... See full document

... However, there are reasons for studying higher-order equations with piecewise constant arguments. Indeed, as mentioned in 10, a potential application of these equations is in the stabilization of hybrid ... See full document

... of impulsive differential equations with piecewise constant ...and impulsive control theory, we obtain some Razumikhin-type theorems on uniform stability, uniform asymptotic stability, and ... See full document

... of impulsive partial differential equation, the oscillation theory of impulsive partial differential equation has various applications therefore it has aroused great study ... See full document

... short-term perturbations and experience abrupt changes at certain moments of time. By employing a generalized Riccati transformation technique, we derive several oscillation criteria which are either new or ... See full document

... Partial differential equations, piecewise constant delay, boundary value problem, initial value problem, abstract Cauchy problem, Hilbert space, loaded equation, wave equation.. 1991 AMS[r] ... See full document

... higher-order nonlinear differential equations, there are only a few results which concern necessary and sufficient conditions for the oscillatory behavior for ... See full document

... the oscillation of a class fractional differential equation with Robin and Dirichlet boundary ...the differential inequality method, oscillation criteria for a class of nonlinear ... See full document