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1.
Abundant semigroups whose idempotents satisfy permutation identities 总被引:10,自引:0,他引:10
Xiaojiang Guo 《Semigroup Forum》1997,54(1):317-326
The aim of this paper is to study abundant semigroups whose idempotents satisfy permutation identities. After some properties
are obtained, the quasi-spined product structure of such semigroups is established while some special cases are investigated.
In particular, the structure ofPI-abundant semigroups is obtained. 相似文献
2.
EXISTENCE RESULTS FOR SEMIPOSITONE BOUNDARY VALUE PROBLEMS 总被引:5,自引:0,他引:5
1 IntroductionWe consider the existence of positive solutions for the Sturm-Liouville boundary vaueproblemwhere f and e: [r, R x [0, oo) - R are two continuous functions satisfying:(H1) f(t, u) 2 0, for (t, u) 6 [r, R x [0, oo);(H2) There exists M > 0 such thatThe boundary value problem (l.1)-(1.2) arises iu a variety of different applied mathematicsand physics. We note that the well-known Proudmau equation(whicli was established by Proudman in 1926, see J. Proudman, Proc. London Math. … 相似文献
3.
Li-Min Wang 《Semigroup Forum》1995,50(1):141-160
Communicated by F. Pastijn 相似文献
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6.
Let G = (V, E) be a simple connected graph, and |V(G)| ≥ 2. Let f be a mapping from V(G) ∪ E(G) to {1,2…, k}. If arbitary uv ∈ E(G),f(u) ≠ f(v),f(u) ≠ f(uv),f(v) ≠ f(uv); arbitary uv, uw ∈ E(G)(v ≠ w), f(uv) ≠ f(uw);arbitary uv ∈ E(G) and u ≠ v, C(u) ≠ C(v), where
C(u)={f(u)}∪{f(uv)|uv∈E(G)}.
Then f is called a k-adjacent-vertex-distinguishing-proper-total coloring of the graph G(k-AVDTC of G for short). The number min{k|k-AVDTC of G} is called the adjacent vertex-distinguishing total chromatic number and denoted by χat(G). In this paper we prove that if △(G) is at least a particular constant and δ ≥32√△ln△, then χat(G) ≤ △(G) + 10^26 + 2√△ln△. 相似文献
C(u)={f(u)}∪{f(uv)|uv∈E(G)}.
Then f is called a k-adjacent-vertex-distinguishing-proper-total coloring of the graph G(k-AVDTC of G for short). The number min{k|k-AVDTC of G} is called the adjacent vertex-distinguishing total chromatic number and denoted by χat(G). In this paper we prove that if △(G) is at least a particular constant and δ ≥32√△ln△, then χat(G) ≤ △(G) + 10^26 + 2√△ln△. 相似文献
7.
一类连通无三角形图线图的共色数的下界 总被引:4,自引:0,他引:4
Erd(o)s,Gimbel and Straight (1990) conjectured that if ω(G)<5 and z(G)>3,then z(G)≥χ(G)-2. But by using the concept of edge cochromatic number it is proved that if G is the line graph of a connected triangle-free graph with ω(G)<5 and G≠K4, then z(G)≥χ(G)-2. 相似文献
8.
两个非线性方程的准确解 总被引:3,自引:0,他引:3
借助于计算机代数系统Mathematica利用直接代数方法获得了两个有数学物理意义的非线性耗散-色散方程的准确解,这种方法也适用于高维非线性方程。 相似文献
9.
在不同的区域上构造适当的比较函数,将Filippov定理推广到更一般的非线性系统(y)-F(x),h(x,y)-g(x). 相似文献
10.
On the dynamics of a class of nonclassical parabolic equations 总被引:3,自引:0,他引:3
Suyun Wang Desheng Li Chengkui Zhong 《Journal of Mathematical Analysis and Applications》2006,317(2):565-582
We consider the first initial and boundary value problem of nonclassical parabolic equations ut−μΔut−Δu+g(u)=f(x) on a bounded domain Ω, where μ∈[0,1]. First, we establish some uniform decay estimates for the solutions of the problem which are independent of the parameter μ. Then we prove the continuity of solutions as μ→0. Finally we show that the problem has a unique global attractor Aμ in in the topology of H2(Ω); moreover, Aμ→A0 in the sense of Hausdorff semidistance in as μ goes to 0. 相似文献