共查询到20条相似文献,搜索用时 47 毫秒
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Michael Thomas 《Information Processing Letters》2012,112(10):386-391
For decision problems defined over Boolean circuits using gates from a restricted set B only, we have for all finite sets B and of gates such that all gates from B can be computed by circuits over gates from . In this note, we show that a weaker version of this statement holds for decision problems defined over Boolean formulae, namely that and for all finite sets B and of Boolean functions such that all can be defined in . 相似文献
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Wenqiang Zhao 《Computers & Mathematics with Applications》2018,75(10):3801-3824
In this article, we use the so-called difference estimate method to investigate the continuity and random dynamics of the non-autonomous stochastic FitzHugh–Nagumo system with a general nonlinearity. Firstly, under weak assumptions on the noise coefficient, we prove the existence of a pullback attractor in by using the tail estimate method and a certain compact embedding on bounded domains. Secondly, although the difference of the first component of solutions possesses at most -times integrability where is the growth exponent of the nonlinearity, we overcome the absence of higher-order integrability and establish the continuity of solutions in with respect to the initial values belonging to . As an application of the result on the continuity, the existence of a pullback attractor in is proved for arbitrary and . 相似文献
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O.H. Miyagaki L.C. Paes-Leme B.M. Rodrigues 《Computers & Mathematics with Applications》2018,75(9):3201-3212
In this work we study the existence and multiplicity of solutions to the following Kirchhoff-type problem with critical nonlinearity in where , and the nonlinearity satisfies certain subcritical growth conditions. By using topological and variational methods, infinitely many positive solutions are obtained. 相似文献
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Xue-hai Yuan Hong-xing Li E. Stanley Lee 《Computers & Mathematics with Applications》2010,59(9):3117-3129
In this paper, a new kind of intuitionistic fuzzy subgroup theory, which is different from that of Ma, Zhan and Davvaz (2008) [22], [23], is presented. First, based on the concept of cut sets on intuitionistic fuzzy sets, we establish the neighborhood relations between a fuzzy point and an intuitionistic fuzzy set . Then we give the definitions of the grades of belonging to , quasi-coincident with , belonging to and quasi-coincident with and belonging to or quasi-coincident with , respectively. Second, by applying the 3-valued Lukasiewicz implication, we give the definition of -intuitionistic fuzzy subgroups of a group for , and we show that, in 16 kinds of -intuitionistic fuzzy subgroups, the significant ones are the -intuitionistic fuzzy subgroup, the -intuitionistic fuzzy subgroup and the -intuitionistic fuzzy subgroup. We also show that is a -intuitionistic fuzzy subgroup of if and only if, for any , the cut set of is a 3-valued fuzzy subgroup of , and is a -intuitionistic fuzzy subgroup (or -intuitionistic fuzzy subgroup) of if and only if, for any (or for any ), the cut set of is a 3-valued fuzzy subgroup of . At last, we generalize the -intuitionistic fuzzy subgroup, -intuitionistic fuzzy subgroup and -intuitionistic fuzzy subgroup to intuitionistic fuzzy subgroups with thresholds, i.e., -intuitionistic fuzzy subgroups. We show that is a -intuitionistic fuzzy subgroup of if and only if, for any , the cut set of is a 3-valued fuzzy subgroup of . We also characterize the -intuitionistic fuzzy subgroup by the neighborhood relations between a fuzzy point and an intuitionistic fuzzy set . 相似文献
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Zujin Zhang 《Computers & Mathematics with Applications》2018,75(3):1038-1043
In this paper, we consider the blow-up criterion for the quasi-geostrophic equations with dissipation (). By establishing a new trilinear estimate, we show that if for some , then the solution can be extended smoothly past . This improves and extends the corresponding results in Dong and Pavlovi? (2009) ([32]) and Yuan (2010). 相似文献