Forced oscillation of a class of neutral hyperbolic differential 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.

Forced oscillation of hyperbolic equations with mixed nonlinearities

In this paper, we consider the mixed nonlinear hyperbolic equations with forcing term via Riccati inequality. Some sufficient conditions for the oscillation are derived by using Young's inequality and integral averaging method.

Oscillation of Volterra Integral Equations and Forced Functional Differential Equations

Forced Oscillation of Neutral Impulsive Parabolic Partial Differential Equations with Continuous Distributed Deviating Arguments

This paper investigated oscillatory properties of solutions for nonlinear parabolic equations with impulsive effects under two different boundary conditions. By using integral averaging method, variable substitution and functional differential inequalities, we established several sufficient conditions. At last, we provided two examples to illustrate the results.

Further Results on Oscillation of Hyperbolic Differential Equations of Neutral Type

In this paper, we investigate a class of hyperbolic differential equations of neutral type ∂ ∂t2 [u+ c(t)u(x, t− τ)] = a0(t)4u+ a1(t)4u(x, t− ρ) − Z b a q(x, t, ξ)u[x, g(t, ξ)]dμ(ξ), (x, t) ∈ Ω× R+ ≡ G, (E) and obtain some new sufficient conditions of the oscillation for such equations satisfying boundary condition ∂u ∂N + ν(x, t)u = 0, (x, t) ∈ ∂Ω× R+. (B) 2000 Mathematics Subject Classificati...