Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

...

Existence and Uniqueness of a Periodic Solution for Third-order Delay Differential Equation with Two Deviating Arguments

In this paper we use the continuation theorem of coincidence degree theory and analysis techniques. We establish the existence and uniqueness of a T-periodic solution for the third-order delay differential equation with two deviating arguments. A new result on the existence and uniqueness of a periodic solution of this equation is obtained. In addition an example is given to illustrate the main...

existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

...

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...

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