1) Asymptotically almost automorphic solution
渐近概自守解
2) asymptotically almost periodic solutions
渐近概周期解
1.
In this paper,we discuss the existence of the existence of asymptotically almost periodic solutions of second-order neutral differential equations with piecewise constant argument by asymptotically almost periodic sequence solutions of difference equations.
通过构造差分方程的渐近概周期序列解,研究了二阶中立型逐段常变量微分方程渐近概周期解的存在性。
2.
Particularly,we discuss the necessary and sufficient conditions for the existence and uniqueness of asymptotically almost periodic solutions for the first-order differential equation u′+▽Φ(u)=h(t),where▽Φdenotes the gradi- ent of the convex functionφon R~N.
对于一阶微分系统u′+F(u)=h(t),其中F为R~n上的严格单调算子,本文给出了其渐近概周期解存在和唯一的一个充分条件和一个必要条件。
3.
We present existence theorem in C(R+) for asymptotically almost periodic solutions of second-order equations with gradient operators by means of the properties of asymptotically almost periodic functions.
利用渐近概周期函数的性质得到带梯度算子二阶方程的渐近概周期解在C(R+)中的存在性,同时利用迭代法和线性常微分方程的概周期解的存在性和唯一性,得到R上此方程渐近概周期解的存在和唯一性。
3) asymptotically almost periodic solution
渐近概周期解
1.
Study on mild asymptotically almost periodic solution to a class of semilinear differential equations;
一类半线性微分方程的温和渐近概周期解
2.
Using the theory of fixed point,we give a theorem about the existence of asymptotically almost periodic solution for a class of delay integral equations.
利用不动点理论,给出了一类时滞积分方程渐近概周期解的存在性定理。
3.
In this paper,we study the existence of asymptotically almost periodic solutions of second-order neutral delay differential equations with piecewise constant argument.
讨论了二阶中立型逐段常变量微分方程d2dt2(x(t)+px(t-1))=qx2t+21+g(t,x(t),x([t])),渐近概周期解的存在性。
4) asymptotically almost periodic sequence solutions
渐近概周期序列解
1.
Existence of asymptotically almost periodic sequence solutions for some difference equations;
一类差分方程的渐近概周期序列解的存在性
5) almost automorphic
概自守
1.
Applying the theory of semigroups of operators to evolution family and Banach contraction principle,we prove the existence and uniqueness of an(a) almost automorphic (pseudo almost automorphic) mild solution of the semilinear differential equation x′(t)=A(t)x(t)+f(t,x(t)) in Banach space under conditions.
在Banach空间中,利用发展系统的算子半群理论和Banach压缩原理,在半线性微分方程x′(t)=A(t)x(t)+f(t,x(t))满足一定的条件下,证明了其概自守与伪概自守mild解的存在性与唯一性。
6) Sp-almost automorphic
Sp概自守
补充资料：渐近稳定解
渐近稳定解
asymptotically - stable solution
渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜，ee姗ycro曲，栅e peoe“。el 一个微分方程组的解，它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability))，并且吸引具有足够接近的初始值的一切其他解.例如，考虑方程组 卒二f(r.，、‘。 a了J、右边的函数f(:，考)对于一切:):，考任R”有定义，并使得方程组(*)的解存在而且是唯一的.这时，方程组(*)的解 x(;，乱)，x(:，乱)=老。是渐近稳定解，如果这个解同一切与其足够接近的解 x(:，句，}若一蜀}
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参考词条