Some new oscillation theorems are established for the second order nonlinear differential equations with damping of the form where p（t） and q（t） are allowed to change sign on [t0,∞).
Comparison and oscillation theorems which relate to the oscillatory behaviors among the members of a class of 'advanced type' difference equations are derived. Among others, these theorems show that oscillati...Comparison and oscillation theorems which relate to the oscillatory behaviors among the members of a class of 'advanced type' difference equations are derived. Among others, these theorems show that oscillation criteria for the standard second order linear difference equation can be applied to these equations. Oscillation criterion for a nonlinear advanced type difference equation is also derived as an application.AMS 1991 Subject classification: 39A10展开更多
This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and ...This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and improve some known results. Where n is bounded domain in R' with piecewise smooth boundary and △is the Laplacian in Euclidean n -space R'.展开更多
In this paper, a new oscillating result is established for the first order neutral delay differential equation with positive and negative coefficients, which improves and generalizes several results in the literatures.
The propagation of oscillating disturbances with various frequencies in multi stage turbine passages in a rocket is analyzed using the oscillating fluid mechanics theorem and the parametric polynomial method. The r...The propagation of oscillating disturbances with various frequencies in multi stage turbine passages in a rocket is analyzed using the oscillating fluid mechanics theorem and the parametric polynomial method. The results show that oscillating disturbances can be rapidly dissipated when the disturbance occurs at the inlet except for very high frequency oscillation such as 50 kHz. Dangerous low frequency oscillations occur at the outlet. The effects of the flow parameter variations on the oscillating disturbance propagation are also studied. The analysis will facilitate safe operation of the whole rocket system.展开更多
文摘Some new oscillation theorems are established for the second order nonlinear differential equations with damping of the form where p（t） and q（t） are allowed to change sign on [t0,∞).
文摘Comparison and oscillation theorems which relate to the oscillatory behaviors among the members of a class of 'advanced type' difference equations are derived. Among others, these theorems show that oscillation criteria for the standard second order linear difference equation can be applied to these equations. Oscillation criterion for a nonlinear advanced type difference equation is also derived as an application.AMS 1991 Subject classification: 39A10
文摘This paper discusses the oscillation of solutions for nonlinear neutral partial differential equation in the form of Sufficient conditions are obtained for oscillation of solutions,of this equation, which extend and improve some known results. Where n is bounded domain in R' with piecewise smooth boundary and △is the Laplacian in Euclidean n -space R'.
基金Supported by the NSF Education Dept. (hjkj200317) and the NSF of Hainan Province (80403).
文摘In this paper, a new oscillating result is established for the first order neutral delay differential equation with positive and negative coefficients, which improves and generalizes several results in the literatures.
基金Supported by the State Key Developments Plan Project of China( No.G19990 2 2 3 0 4 )
文摘The propagation of oscillating disturbances with various frequencies in multi stage turbine passages in a rocket is analyzed using the oscillating fluid mechanics theorem and the parametric polynomial method. The results show that oscillating disturbances can be rapidly dissipated when the disturbance occurs at the inlet except for very high frequency oscillation such as 50 kHz. Dangerous low frequency oscillations occur at the outlet. The effects of the flow parameter variations on the oscillating disturbance propagation are also studied. The analysis will facilitate safe operation of the whole rocket system.
