1) unbounded solution set
无界解集合
2) unbounded set
无界集
1.
By virtue of the degree for condensing mapping on unbounded set, some well known fixed point theorems on bounded sets in Banach spaces were extended to the case that is on unbounded sets.
利用无界集上凝聚映射的拓扑度 ,将Banach空间中有界集上一些著名的不动点定理推广到无界集的情形·在有序Banach空间中建立了无界集上的不动点指数 ,证明了几个不动点及多不动点定理
3) closed unbounded set
无界闭集
1.
In this paper,we introduce concepts of closed unbounded sets and stationary sets,and investigate their poperties.
本文引进了~(
4) unbounded solution
无界解
1.
This paper is concerned about unbounded solution of some netural dynamic equation.
考虑了测度链上一类中立型动力方程的无界解,通过构造函数序列,运用Lebsgue控制收敛定理,。
2.
The aim of this paper is to present sufficient conditions for all unbounded solutions of the second order difference equations of the neutral type (1) to be oscillatory.
我们研究不稳定的二阶中立型差分方程解的振动问题Δ2[x(n)+px(n-τ)〗+q(n)x(g(n))=0,n>n0(1)建立了不稳定的二阶中立型差分方程(1)无界解的振动准则。
3.
The existence and asymptotic behavior of bounded and unbounded solutions for difference equation Δ~2x_n+a_nx~γ_(n+1)=f_n were obtained.
利用自共轭二阶线性差分方程的一些结论,研究了形如Δ2xn+anxγn+1=fn的差分方程的无界解,有界解的存在性及这类解的渐近性质。
5) positive unbounded solution
正无界解
1.
In this paper,by constructing a special cone and using fixed point theorem on cone,the existence of at least one positive unbounded solutions of infinite boundary value problem of a class of singular differential equations is obtained.
通过构造一个特殊的锥,利用锥上的不动点定理讨论了一类二阶奇异微分方程无穷边值问题正无界解的存在性。
2.
In this paper,by constructing a special cone and using the fixed point theorem of cone expansion-compression type,the existence of at least one positive unbounded solutions of infinite boundary value problem for a class of second-order singular differential equation is proved.
主要通过构造一个特殊的锥,利用锥拉伸与锥压缩型的不动点定理,讨论了一类二阶奇异微分方程无穷边值问题正无界解的存在性。
6) unbounded solutions
无界解
1.
In this paper we present a result on the existence of unbounded solutions for a class of continuous time-invariant cascaded systems where the drift function and the interconnection function grow at similar rate with the growth order larger than one.
本文对非线性级联系统中"漂移项"与级联项同阶增长且增长阶数大于一的情形,在两个子系统都全局渐近稳定的假设下,证明了级联系统无界解的存在性。
2.
This paper studies the coexistence of unbounded and periodic solutions to a class of isochronous oscillators at resonance, obtaining the conditions of existence of unbounded solutions by the dynamics of Ponicaé mapping.
讨论了在共振条件下一类具有等时位势的方程无界解和周期解的共存性。
3.
In this paper,we deal with the existence of unbounded solutions for asymmetric p-Laplacian equation (p(x′))′+λp(x+)-μP(x-)=f(t) at resonance,where p(s):=|s|p-2s,p>1,x+=max{0,x},x-=min{0,x},f(t) is a 2π-periodic function.
研究了一类一维不对称p-laplacian方程(Φp(x′))′+λΦp(x+)-μΦp(x-)=f(t)在共振条件下存在无界解,其中Φp(s):=|s|p-2s,p>1,x+=max{0,x},x-=min{0,x},f(t)为一连续2π周期函数。
补充资料：有界集
有界集
boinded set
有界集!b.咧曰就:o印皿.，e哪e胭。袱ecr.o] 1)(有距离P的)度量空间X中的有界集是一个集合A，其直径 占叼)一户怨吟，y)为有限的. 2)(域k上的)拓扑向量空间E中的有界集是被每一个零邻域U吸收的集合B(即存在某个以任k使得BeaU).M.H.Bo盗leRo8C阴认撰史树中译
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参考词条