Oscillation theorems for solutions of hyperbolic equations

Oscillation of Solutions for Forced Nonlinear Neutral Hyperbolic Equations with Functional Arguments

This article studies the forced oscillatory behavior of solutions to nonlinear hyperbolic equations with functional arguments. Our main tools are the integral averaging method and a generalized Riccati technique.

Oscillation theorems for systems of linear differential equations

Oscillation theorems for second order neutral differential equations

In this paper new oscillation criteria for the second order neutral differential equations of the form (E) ` r(t) [x(t) + p(t)x(τ (t))]′ ́ ′ + q(t)x(σ(t)) + v(t)x(η(t)) = 0 are presented. Gained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation. Obtained comparison ...

Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping

Some oscillation criteria for solutions of a general ordinary differential equation of second order of the form (r(t)ψ(x(t))ẋ(t))+h(t)ẋ(t)+q(t)φ(g(x(t)),r(t)ψ(x(t))ẋ(t)) = H(t,x(t), ẋ(t)) with alternating coefficients are discussed. Our results improve and extend some existing results in the literature. Some illustrative examples are given with its numerical solutions which are computed using R...

Oscillation Theorems for Certain Even Order Neutral Differential Equations

This paper is concerned with a class of even order nonlinear differential equations of the form d dt “ ̨