In this paper, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations are investigated and a series of sufficient conditions for oscillations of the equations are establishe...In this paper, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay.展开更多
Consider the second order nonlinear neutral delay differential equaiton[α(t)|(x(t)+p(t)x(t-τ))′| α-1 (x(t)+p(t)x(t-τ))′]′+q(t)|x(t-σ)| α-1 x(t-σ)=0. We obtain a sufficient condition for the oscillati...Consider the second order nonlinear neutral delay differential equaiton[α(t)|(x(t)+p(t)x(t-τ))′| α-1 (x(t)+p(t)x(t-τ))′]′+q(t)|x(t-σ)| α-1 x(t-σ)=0. We obtain a sufficient condition for the oscillation of all solutions of the above equation, our result extend and improve the result in .展开更多
文摘In this paper, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delay.
文摘Consider the second order nonlinear neutral delay differential equaiton[α(t)|(x(t)+p(t)x(t-τ))′| α-1 (x(t)+p(t)x(t-τ))′]′+q(t)|x(t-σ)| α-1 x(t-σ)=0. We obtain a sufficient condition for the oscillation of all solutions of the above equation, our result extend and improve the result in .
