1) Mawhin's coincidence degree
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Mawhin拓扑度
2) Mawhin degree
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Mawhin度
3) Mawhin's continuation theorem of coincidence degree principle
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Mawhin重合度拓展定理
4) Topological Density
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拓扑密度
5) topological degree
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拓扑度
1.
The upper and lower solutions of m-point boundary value problems at resonance and topological degree;
m点边值共振问题的上下解和拓扑度
2.
Utilizing laray-schauder topological degree theorems in menger PN space and with the diversification of bounding conditions that the operators should hold,the existence of the solution of nonlinear operator equations Tx=Lx and Tx=Lx+p are studied.
利用概率线性赋范空间中的Leray-Schauder拓扑度理论,通过改变算子所满足的边界条件,研究了非线性算子方程Tx=Lx和Tx-Lx+p的解的存在性问题,在不要求方程满足L≥1的条件下(在文[1,2]中都要求方程满足条件L≥1),得到了几个新的定理。
3.
In this paper,using Brouwer topological degree theory,it is proved that the theorem still holds if we substitute star shape region for convex set.
利用Brouwer拓扑度理论,证明定理中凸性条件进一步减弱为星形区域时,其结论仍然成立。
6) coincidence degree
![点击朗读](/dictall/images/read.gif)
拓扑度
1.
By using the method of coincidence degree,the existence of positive periodic solution for a discrete time Leslie system with mutual interference was studied.
考虑一类具相互干扰的离散L eslie系统,利用拓扑度方法,获得了该系统正周期解存在的充分条件。
2.
By using Gaines and Mawhin s continuation theorem of coincidence degree theory,a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions to the system.
考虑了一类食饵在斑块环境中扩散具有脉冲和时滞的捕食系统,通过灵活地运用Gaines和Mawhin的连续拓扑度定理,获得了一系列易验证的正周期解存在的充分条件。
3.
A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components by using the method of coincidence degree.
通过运用拓扑度方法,获得了该系统至少存在一组可易验证的严格正周期解的充分条件。
补充资料:拓扑结构(拓扑)
拓扑结构(拓扑)
topologies 1 structure (topology)
拓扑结构(拓扑)【t哪d哈eal structure(to和如罗);TO-no“orHtlec~cTpyKTypa」,开拓扑(oPen to和fogy),相应地,闭拓扑(closed topofogy) 集合X的一个子集族必(相应地居),满足下述J胜质: 1.集合x,以及空集叻,都是族。(相应地容)的元素. 2。(相应地2劝.。中有限个元素的交集(相应地,居中有限个元素的并集),以及已中任意多个元素的并集(相应地,居中任意多个元素的交集),都是该族中的元素. 在集合X上引进或定义了拓扑结构(简称拓扑),该集合就称为拓扑空间(topological sPace),其夕。素称为.l5(points),族份(相应地居)中元素称为这个拓扑空问的开(open)(相应地,闭(closed))集. 若X的子集族份或莎之一已经定义,并满足性质l及2。。(或相应地l及2衬,则另一个族可以对偶地定义为第一个集族中元素的补集族. fl .C .A二eKeaH及pos撰[补注1亦见拓扑学(zopolo群);拓扑空l’ed(toPo1O廖-c:,l印aee);一般拓扑学(general toPO】ogy).
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参考词条