The limiting behavior of solutions of infinite delay differential equations

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

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The behavior of solutions of second order delay differential equations

In this paper, we study the behavior of solutions of second order delay differential equation y′′(t)= p1y′(t)+ p2y′(t − τ )+ q1y(t)+ q2y(t − τ ), where p1, p2, q1, q2 are real numbers, τ is positive real number. A basic theorem on the behavior of solutions is established. As a consequence of this theorem, a stability criterion is obtained. © 2006 Elsevier Inc. All rights reserved.

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

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On the Asymptotic Stability of the Solutions of Functional Differential Equations with Infinite Delay

New explicit and Soliton Wave Solutions of Some Nonlinear Partial Differential Equations with Infinite Series Method

To start with, having employed transformation wave, some nonlinear partial differential equations have been converted into an ODE. Then, using the infinite series method for equations with similar linear part, the researchers have earned the exact soliton solutions of the selected equations. It is required to state that the infinite series method is a well-organized method for obtaining exact s...