[PDF] Top 20 8. Convergence in an impulsive advanced differential equations with piecewise constant argument

... of impulsive differential equations developed rapidly, in recent ...of equations. There are many works about impulsive differential equations ([20], ...for ... See full document

... differential equations with piecewise constant arguments have many applications in real-world problems, there are only a few papers on the oscillation of non- linear differential equations with ... See full document

... nonhomogeneous advanced impulsive EPCA were considered in [], the stability property of first order EPCA of generalized type (EPCAG) was addressed in [], oscillation of exact solution of EPCA with retarded ... See full document

... The study of the existence and uniqueness of periodic solutions of differential equa- tions is a well-established fact. The concept of asymptotical periodicity has been intro- duced to handle phenomena which ... See full document

... In Tables 1–4 we list the absolute errors AE(1/m, 1/p), AE(1/4m, 1/2p) and AE(1/2m, 1/2p) at x = 1/2, t = 1 of the θ -methods for (31) and (32), the ratio of AE(1/m, 1/p) over AE(1/4m, 1/2p) in Tables 1, 3 and the ratio ... See full document

... differential equations with piecewise constant argument and variable coefficients, ...delay-differential equations with infinite delays, ... See full document

... 7, 8 concentrated on dealing with the existence and uniqueness of pseudo-almost-periodic solution by putting some restrictions on the roots of characteristic equation instead of on the function ... See full document

... Neutral impulsive di erential equations are part of impulsive di erential equations with deviating arguments ...between impulsive di erential equations (see [1] and [4]) and di ... See full document

... the piecewise linear interpolation functions of the numerical solution converge to the zeros of the exact solution with the order of accuracy  (θ =   ) and  (θ =   ... See full document

... established between differential equations with piecewise constant deviations and difference equations of an integer-valued argument... may be included in our scheme too..[r] ... 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, ... See full document

... One of the most important ways to investigate the asymptotic structure of two equa- tions is to build asymptotic equivalence between their solutions. Establishing such equiv- alence enables researchers to comment on the ... See full document

... As known to all, the reproducing kernel method is a powerful tool to solve differential equations [19–23]. However, the reproducing kernel space is smooth, in order to solve the impulsive differential ... See full document

... ordinary differential equations, the solutions are continuously differentiable sometimes at least once, whereas the impulsive differential equations generally possess non-continuous ... See full document

... Differential equations of this form have stim- ulated considerable interest and have been studied by Cooker and Wiener [], Jayasree and Deo [], Wiener and Aftabizadeh ...these equations the argument ... See full document

... differential equations with piecewise constant arguments of the form x (t) + px (t – 1) = qx(2[ t+1 2 ]) + f (t), where [ · ] denotes the greatest integer function, p and q are nonzero constants, and ... See full document

... controls are used. In this paper we prove that for any measurable admissible control w( · ) and for any ε > 0 there exists piecewise constant admissible control ¯ w( · ) such that the fuzzy R-solutions ... See full document

... In this paper, the nonlinear multiple base points boundary value problems of the impulsive fractional differential equations are studied. By using the fixed point theorem and the Mittag-Leffler functions, the ... See full document

... Integral transforms were successfully used to find the solutions of initial value problems for linear partial differential equations with piecewise constant delay.. It has been shown in [r] ... See full document

... We should point out here that the operator  is the counterpart of the derivative operator in calculus. Both operators and share one of the helpful fea- tures of the derivative operator , namely, the property of ... See full document