1) semi-trivial periodic solution
半平凡周期解
1.
It is proved that there exist semi-trivial periodic solutions in the model.
得到系统存在半平凡周期解。
2) trivial periodic solution
平凡周期解
1.
With the relation between trivial periodic solution of homogeneous linear differential equations and periodic solution of nonhomogeneous linear differential equations,a class of nonlinear linear differential equations are studied,and some new results and application are obtained.
利用齐次线性微分方程的平凡周期解与非齐次线性微分方程的周期解两者之间的关系,通过研究Duffing型微分方程的周期解,得到了一些新的结果和应用。
3) nontrivial periodic solution
非平凡周期解
1.
On the nonexistence of nontrivial periodic solutions of the Linard systems;
Li nard系统非平凡周期解的不存在性
2.
It is proved that Logistics equation dose not have nontrivial periodic solutions of period 3.
研究一类带参数的微分差分方程非平凡周期解存在性，得到了周期解存在的一个充分必要条件。
3.
The nonexistence of periodic solutions for the following generalized Lienard system(E)is studied, some sufficient conditions about the nonexistence of nontrivial periodic solutions for (E) are given.
研究了一类广义Lienard系统周期解的不存在性,得到了系统(E)具有多个奇点时不存在非平凡周期解的若干充分条件。
4) semi-trivial solutions
半平凡解
1.
The sufficient conditions for the existence of the local bifurcations of two semi-trivial solutions(θr,0) and(0,θd) are proved,and stability of the local bifurcate solution from semi-trivial solution(θr,0) is obtained.
利用局部分歧理论及线性稳定理论,证明了两个半平凡解(rθ,0)和(0,θd)局部分歧解存在的充分条件,并且证明了半平凡解(rθ,0)产生的局部分歧解是无条件稳定的。
5) semi-trivial steady-state solution
半平凡平衡解
6) nontrivial solutions
非平凡解
1.
We obtained that for every λ>0 in the minimum problems Iλ and I∞λ,there exists α∈0,λ,such that both problems Iα and I∞α have nontrivial solutions.
讨论了一类拟线性椭圆型方程的CHOQUARD-PEKAR问题在无界区域中的非平凡解的存在性,对于极小问题Iλ和I∞λ,得到了对于每个λ>0,存在α∈(0,λ],使得Iα和I∞α可以达到。
2.
In this paper, a concentration-compactness lemma for the problem of quasilinear elliptic equations is given, and the existence of nontrivial solutions is discussed by use of this lemma.
给出了相应的拟线性方程的定解问题的集中列紧引理 ,利用这一结果得到了方程在无界区域中非平凡解的存在性。
3.
With the mountain pass lemma and the means of straightening the boundary,the existence of nontrivial solutions are obtained by verifing the functional J(u) corresponding to the equations satisfy the local(PS) conditions.
研究了一类含Sobolev-Hardy临界指数与Hardy项的椭圆方程,通过验证方程对应的泛函J(u)满足局部(PS)条件,运用山路引理与拉直边界的方法得到了这类方程非平凡解的存在性。
补充资料：庞加莱周期解
见周期解理论。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条