[PDF] Top 20 Ergodic type solutions of differential equations with piecewise constant arguments

... The theory of almost periodic functions was started between 1923 and 1925 by H. Bohr, and his work quickly attracted the interest of a number of researchers who made many important contributions to its development (see ... See full document

... (ii) A n interesting case is when D 2(p, q) = 0 and a 2-periodic function/ satisfies the equality (F2(p ;0 ),F 2(p;2),F2 (p;2)) = (0,0,0). Forthis case, by (ii) o f Theorem 2, equation (1) has an infinite number o f ... 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

... analytic solutions of EPCA are hard to achieve and we are forced to use numerical methods to approximate ...numerical solutions for EPCA have been reported ...differential equations with ... See full document

... Note that in this example the parameters of the equation satisfy the conditions of the main results of the papers [, , ]. Example  shows incorrectness of the results Theo- rem  in [], Theorem . in [] and ... See full document

... ON APPROXIMATION OF THE SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS BY USING PIECEWlSE CONSTANT ARGUMENTS ISTVAN.. Department of Mathematics, The University of Rhode Island Kingston, Rhode[r] ... See full document

... of differential equations with piecewise constant arguments of various types as retarded, advanced and mixed types have been investigated, intensively in [1],[2],[4],[5],[11] (see also ... See full document

... of solutions was studied for some functional differential equations ([5],[7],[8],[10],[12],[14]-[19]) and as well the same problem has been considered for some impulsive delay differential ... See full document

... differential equations with piecewise constant argument (DEPCA) that contain deviation of arguments were initially proposed for investigation by Cooke, Wiener, Busenberg, and Shah ...of ... See full document

... higher-order equations with piecewise constant ...these equations is in the stabilization of hybrid control systems with feedback delay, where a hybrid system is one with a continuous plant ... See full document

... In this work, we study the existence and uniqueness of pseudo almost periodic solutions for some difference equations. Firstly, we investigate the spectrum of the shift operator on the space of pseudo ... See full document

... numerical solutions of delay differen- tial equations with piecewise continuous arguments, such as ...differential equations and delay difference equa- tions, even including delay ... See full document

... Differential equations with piecewise constant argument, which were firstly considered by Cooke and Wiener 1, and Shah and Wiener 2, usually describe hybrid dynamical systems a combination of ... See full document

... functional equations has been defined in ...with piecewise constant arguments has been studied in [5]-[7] and references ...functional equations with piecewise constant ... 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

... The plan of this paper is as follows: In Section , we state some definitions and lemmas which are needed to prove the main results. In Section , we show that in the presence of a pair of upper and lower solutions ... See full document

... Fuzzy Differential Equations has been attracting a rapidly growing number of researchers in recent ...ordinary differential equations are ... See full document

... global solutions to the double Riemann problem ...global solutions, the wave interactions have been investigated intensively by using the method of characteristics [26, ...global solutions to the ... See full document

... In this paper we are concerned with the definition and some properties of the discontinuous dynamical systems generated by piecewise constant arguments. Then we study two discontinuous dynamical ... See full document

... This paper deals with error bounds for numerical solutions of linear ordinary differential equations by global or piecewise polynomial collocation methods which are based on consideratio[r] ... See full document