we are concerned with the development of a k−step method for the numerical solution of fuzzy initial value problems. convergence and stability of the method are also proved in detail. moreover, a specific method of order 4 is found. the numerical results show that the proposed fourth order method is efficient for solving fuzzy differential equations.

This paper studies the oscillation properties of higher order impulsive delay differential equations, and some sufficient conditions for all bounded solutions of this kind of higher order impulsive delay differential equations to be nonoscillatory are obtained by using a comparison theorem with corresponding nonimpulsive differential equations. AMS subject classification: 34C10, 34C15.

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Impulsive differential equations, which arise in biology, physics, population dynamics, economics, and so forth, are a basic tool to study evolution processes that are subjected to abrupt in their states see 1–4 . Many literatures have been published about existence of solutions for first-order and second-order impulsive ordinary differential equations with boundary conditions 5–19 , which are ...

In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...

Please note that terms and conditions apply. Controllability for the impulsive semilinear fuzzy integrodifferential equations with nonlocal conditions View the table of contents for this issue, or go to the journal homepage for more Abstract. In this paper. we study the controllability for the impulsive semilinear fuzzy integrodifferential control system with nonlocal conditions in by using the...

In this article we derive existence and comparison results for discontinuous non-absolute functional integral equations of Volterra type in an ordered Banach space which has a regular order cone. The obtained results are then applied to first-order impulsive differential equations.