The second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
In this paper, the first experiment of generating the phase conjugated backward wave by degenerate four-wave mixing in chlorophyll solution is reported.
本文报道在叶绿素溶液中用简并的四波混频得到位相复共轭后向反射波的首次实验。
This paper is concerned with the decay rates of the solution to the strong planar rarefaction waves for scalar conservation laws with degenerate viscosity in several space dimensions.
本文主要研究高维空间中带有退化粘性的标量守恒律方程的光滑解的整体存在性，以及该解逼近强平面稀疏波的衰减率。
The properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
The real-time storage is obtained in the organic dye BDN solution in toluene by doublet degenerate four wave mixing induced thermal refractive index grating.
本文利用二重简并四波混频感生折射率光栅，实现了光信息在有机染料BDN溶液中的实时存储。
A class degenerate quasilinear parabolic systems is considered. The local existence is proved. In some conditions the solution quench in a finite time. And an estimate of quenching time is given.
讨论一类退缩拟线性抛物方程组解的局部存在性与猝灭，证明了在一定条件下解在有限时刻发生猝灭，并给出猝灭时间的一个上限估计。
The properties of the solution to some degenerate parabolic equation with shift element are considered in this paper.
对一类具有扰动项的退化抛物方程，考虑其解的性质。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
Thfi existence and uniqueness theorems of weak solutions of initial-boundary value problems for nonlinear degenerate parabolic systems were established by lower-upper solution method.
应用上、下解方法证明非线性退缩抛物型方程组初边值问题弱解的存在唯一性。
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