INSTABILITY FOR A CERTAIN FUNCTIONAL DIFFERENTIAL EQUATION OF SIXTH ORDER

Analytic solution of certain second-order functional differential equation

We consider the existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x (x [r] (z)) = c 0 z 2 + c 1 (x(z)) 2 + (c 2 x [2] (z)) 2 + ··· + c m (x [m] (z)) 2 , m,r ≥ 0.

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 method for solving first order fuzzy differential equation

Instability Results for Certain Third Order Nonlinear Vector Differential Equations

Our goal in this paper is to obtain sufficient conditions for instability of the zero solution to the non-linear vector differential equation ... X + F (X, Ẋ)Ẍ + G(Ẋ) + H(X) = 0. An example illustrates the results obtained.

Nonlinear oscillation of certain third-order neutral differential equation with distributed delay

The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...