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201.
Liénard方程极限环存在定理 总被引:5,自引:0,他引:5
梁锦鹏 《高校应用数学学报(A辑)》2000,15(2):163-168
讨论了非线性振动方程:(x:)+f(x)(x.)+g(x)=0在G(±∞)=+∞的限制被取消时,其极限环的存在性. 相似文献
202.
Let denote the complete graph if is odd and , the complete graph with the edges of a 1-factor removed, if is even. Given non-negative integers , the Hamilton–Waterloo problem asks for a 2-factorization of into -factors and -factors. Clearly, , , and are necessary conditions.Very little is known on the case where and have different parities. In this paper, we make some progress on this case by showing, among other things, that the above necessary conditions are sufficient whenever , , and . 相似文献
203.
Liu Deming 《东北数学》1999,(2)
§1.IntroductionForthefolowingpolynomialsystemofdegreem:dxdt=f1(x,y),dydt=f2(x,y),(E)wheref1(x,y)andf2(x,y)arepolynomialsinxan... 相似文献
204.
Let and be two integers with and . For a graph and a vertex of , we use to denote the degree of in . Define to be the minimum value of , where is an independent set of with . This paper proves the following conjecture proposed by Gould et al. (2018). If is a graph of sufficiently large order with , then contains vertex-disjoint cycles. 相似文献
205.
We characterize edge-colored graphs in which every edge belongs to some properly colored cycle. We obtain our result by applying
a characterization of 1-extendable graphs.
Received: April, 2003 相似文献
206.
In this paper we prove that every planar graph without cycles of length 4, 5, 6 and 8 is 3-colorable. 相似文献
207.
We show a construction that gives an infinite family of claw-free graphs of connectivity κ=2,3,4,5 with complete closure and without a cycle of a given fixed length. This construction disproves a conjecture by the first author, A. Saito and R.H. Schelp. 相似文献
208.
A proper vertex coloring of a graph G=(V,E) is acyclic if G contains no bicolored cycle. Given a list assignment L={L(v)∣v∈V} of G, we say G is acyclically L-list colorable if there exists a proper acyclic coloring π of G such that π(v)∈L(v) for all v∈V. If G is acyclically L-list colorable for any list assignment with |L(v)|≥k for all v∈V, then G is acyclically k-choosable. In this paper we prove that planar graphs without 4, 7, and 8-cycles are acyclically 4-choosable. 相似文献
209.
We consider the busy period in the GI/M/1 queue with multiple exponential vacations. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the residual interarrival time at the instant the busy period ends. 相似文献
210.