On Oscillatory Properties of Solutions of a Certain Nonlinear Third-Order Differential Equation

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...

Boundedness of Solutions of a Third-order Nonlinear Differential Equation

Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives of the solutions of (1.1) tend to zero as t→∞. Our results improve and include those results obtained by previous authors ([3], [5]).

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

Some New Results on the Boundedness of Solutions of a Certain Nonlinear Differential Equation of Third Order

In this paper, the boundedness of solutions of a third-order nonlinear differential equation is investigated. Some criteria on the regularity and asymptotic behavior of solutions for the same equation are also given. The obtained results are further extensions that of Mehri&Shadman [1], and also include the theorems established there.

Results on the qualitative behaviour of solutions for a certain class of third order nonlinear delay differential equation

By using the frequency domain method, sufficient conditions which guarantee asymptotic stability of the null solution of a certain class of third order nonlinear delay differential equation are established. Furthermore, effective criteria for the existence of a bounded solution which is exponentially stable, periodic or almost periodic according as the forcing term is periodic or almost periodi...