THIRD_ORDER

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PainlevéAnalysis of Higher Order Nonlinear Evolution Equations with Variable Coefficients
《Chinese Quarterly Journal of Mathematics》2021年第2期196-203,共8页Wang Yuan 
Supported by the Shanxi Education Department Project(Grant No.J2020398);Key Natural Science Projects of Shanxi Energy Institute(Grant No.ZZ-2018003)。
There is a close relationship between the Painlevéintegrability and other integrability of nonlinear evolution equation.By using the Weiss-Tabor-Carnevale(WTC)method and the symbolic computation of Maple,the Painlev...
关键词：Higher order generalized non-autonomous equation Third order Korteweg-de Vries equation with variable coefficients Painlevéanalysis method 
Global Existence,Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics
《Chinese Quarterly Journal of Mathematics》2016年第3期221-236,共16页曹洁 
Supported by the National Natural Science Foundation of China(11271066);Supported by the Shanghai Education Commission(13ZZ048)
In this paper, a third order（in time） partial differential equation in R^n is con-sidered. By using semigroup method and constructing Lyapunov function, we establish the global existence, asymptotic behavior and uni...
关键词：third order in time dynamics WELL-POSEDNESS asymptotic behavior uniform attractors 
Singular Perturbation of Two Points Boundary Value Problems for a Class of Third Order Quasilinear Differential Equations被引量：1
《Chinese Quarterly Journal of Mathematics》2001年第3期69-74,共6页谢峰 
In this paper, the fixed-point Theorem i s used to estimate an asymptotic solution of boundary value problems for a class o f third order quasilinear differential equation and the uniformly valid asymptot ic expansio...
关键词：fixed-point Theorem quasilinear differential eq uation asymptotic expansion singular perturbaiton 
On the Existence of Periodic Solutions for Third Order Non-Dissipative Differential Systems
《Chinese Quarterly Journal of Mathematics》1990年第1期103-108,共6页黄先开 
In this paper we first obtain Some fixed point theorems and then app- ly them to a third-order periodically perturbed non-dissipative systems, conditions on the existence of multiple periodic solutions are given。 Fin...
关键词：三阶非耗散型微分方程组 周期解 存在性 不动点定理 同胚象 
Stability of Solution of the Third Order Linear Differential Equation with Periodic Coefficients
《Chinese Quarterly Journal of Mathematics》1989年第4期24-31,共8页卢德渊 廖宗璜 
In this paper, We give the sufficient conditions of the unstability of zero solution for the third order linear differential equation with periodic coefficients d^3x/dt^3+A(t)dx/dt+B(t)x=0.
关键词：线性微分方程 周期系数 解的稳定性 零解 特征方程 全纯 王慕秋 基本解组 LIOUVILLE 共扼 
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