Oscillation of Solutions of Neutral Partial Functional Differential Equations

Oscillation of certain higher-order neutral partial functional differential equations.

In this paper, we study the oscillation of certain higher-order neutral partial functional differential equations with the Robin boundary conditions. Some oscillation criteria are established. Two examples are given to illustrate the main results in the end of this paper.

Oscillation of Solutions for Odd-order Neutral Functional Differential Equations

In this article, we establish oscillation criteria for all solutions to the neutral differential equations [x(t)± ax(t± h)± bx(t± g)] = p Z d

Mild Solutions of Neutral Stochastic Partial Functional Differential Equations

Periodic Solutions for Some Partial Neutral Functional Differential Equations

In this work, we study the existence of periodic solutions for partial neutral functional differential equation. We assume that the linear part is not necessarily densely defined and satisfies the Hille-Yosida condition. In the nonhomogeneous linear case, we prove that the existence of a bounded solution on R+ implies the existence of a periodic solution. In nonlinear case, we use the concept o...

Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations

In this paper we shall consider the nonlinear neutral delay differential equations with variable coefficients. Some new sufficient conditions for oscillation of all solutions are obtained. Our results extend and improve some of the well known results in the literature. Some examples are considered to illustrate our main results. The neutral logistic equation with variable coefficients is consid...