Linearized comparison criteria for a nonlinear neutral differential equation

Linearized Comparison Criteria for a First Order Nonlinear Neutral Delay Difference Equation

A Nonlinear Neutral Periodic Differential Equation

In this article we consider the existence, uniqueness and positivity of a first order non-linear periodic differential equation. The main tool employed is the Krasnosel’skĭı’s fixed point theorem for the sum of a completely continuous operator and a contraction.

Differential transformation method for solving a neutral functional-differential equation with proportional delays

In this article differential transformation method (DTMs) has been used to solve neutral functional-differential equations with proportional delays. The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the kno...

Oscillation criteria for second order nonlinear neutral differential equations

This paper is concerned with the oscillation of second-order nonlinear neutral differential equations of the form [ r(t)[(x(t) + p(t)x(σ(t)))′]γ ]′ + f(t, x(τ(t))) = 0, by using a generalized Riccati’s technique and integral averaging technique, we establish new oscillation results which handle some cases not covered by known criteria.

Oscillation criteria for nth order nonlinear neutral differential equations

In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form