An existence theorem for a certain differential equation of the $n$th order

An Instability Theorem for a Certain Vector Differential Equation of the Fourth Order

In this paper sufficient conditions for the instability of the zero solution of the equation (1.1) are given.

A Numerical Method For Solving Nth-Order Fuzzy Differential Equation by using Characterization Theorem

In this paper, we study a numerical method for solving Nth-Order fuzzy differential equation (NOFDE). A Characterization Theorem that is presented shows that the NOFDE is equivalent to system of ODEs. So the numerical method for ODE can be used for NOFDE. Two examples are provided.

Existence theorems for nth-order discontinuous ordinary differential inclusions

In this work an existence theorem for nth-order ordinary differential inclusions is proved without the continuity of multi-valued functions. Our results are an improvement upon the existence results of Dhage et al. [B.C. Dhage, T.L. Holambe, S.K. Ntouyas, Upper and lower solutions for second order discontinuous differential inclusions, Math. Sci. Res. J. 7 (5) (2003) 206–212] and Agarwal et al....

ON TE EXISTENCE OF PERIODIC SOLUTION FOR CERTAIN NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS

A method for solving first order fuzzy differential equation