一类广义Lanchester模型的数值解及若干结论

本讨论了一类广义的Lanchester模型在一些限制条件下的近似解，并给出了若干结论。     

Uniformity in Computable Structure Theory

We investigate the effects of adding uniformity requirements to concepts in computable structure theory such as computable categoricity (of a structure) and intrinsic computability (of a relation on a computable structure). We consider and compare two different notions of uniformity, previously studied by Kudinov and by Ventsov. We discuss some of their results and establish new ones, while also exploring the connections with the relative computable structure theory of Ash, Knight, Manasse, and Slaman and Chisholm and with previous work of Ash, Knight, and Slaman on uniformity in a general computable structure-theoretical setting.     

水中孤立气泡对声波的耗散作用

本文从气泡壁面线性运动方程出发,对水中孤立气泡的声耗散机理进行了分析。结果表明:气泡对声波具有明显的耗散作用;耗散作用由声散射和声吸收两部份组成;热传导在气泡对声波的耗散作用中起决定性作用;气泡处于谐振时,对声波具有最大的耗散作用。     

Congruent Pairs On a Set

ＣｏｎｇｒｕｅｎｔＰａｉｒｓＯｎａＳｅｔＺｈｕＺｕｏｔｏｎｇ；（朱作桐）ＨｕａｎｇＪｕｎｍｉｎ（黄军民）（ＮａｎｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ）（ＮａｎｊｉｎｇＵｎｉｖｅｒｓｉｔｙ）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉｓｐａｐｅｒ，ｗｅｉｎｔｒｏｄ...     

Time-marching numerical schemes for the electric field integral equation on a straight thin wire

We derive and analyse four algorithms for computing the current induced on a thin straight wire by a transient electric field. They all involve solving the thin wire electric field integral equations (EFIEs) and consist of a very accurate differential equations solver together with various schemes to approximate the vector potential integral equation. We carry out a rigorous numerical stability analysis of each of these methods. This has not previously been done for solution schemes for the thin wire EFIEs. Each scheme is shown to be stable and convergent provided the radius of the wire is small enough for the thin wire equations to be a valid model.     

Characterization of measures by potentials

Let μ be a measure in a Banach spaceE, f be an even function onR. We consider the potentialg(a)=f _E f(‖x?a‖)dμ(x). The question is as follows: For whichf does the potentialg determine μ uniquely? In this article we give answers in the cases whereE=l _∞ ⁿ and wheref(t)=|t| ^p andE is a finite dimensional Banach space with symmetric analytic norm. Calculating the Fourier transform of the functionf(‖x‖ _∞) we give a new proof of the J. Misiewicz's result that the functionf(‖x‖ _∞) is positive definite only iff is a constant function.     

ON SOME INTEGRATION BY PARTS FORMULATE FOR THE ASP-INTEGRAL

The main results of this paper are as follows；Let F be approximately continuous on[a,b]and g be of bounded variation on[a,b]. Then (APS)∫^ba Fexists if and only if (APS)∫^ba gdf existe. Furthermore,suppose (APS)∫^ba Fdy or (APS)∫^ba gdF exists, then we have (APS)∫^ba Fdg (APS)∫^bagdf=F(b)g(b)-F(a)g(a)     

Singular Points Near an X_0-breaking Double Singular Fold Point in Z_2-symmetric Nonlinear Equations

ＳｉｎｇｕｌａｒＰｏｉｎｔｓＮｅａｒａｎＸ_０－ｂｒｅａｋｉｎｇＤｏｕｂｌｅＳｉｎｇｕｌａｒＦｏｌｄＰｏｉｎｔｉｎＺ_２－ｓｙｍｍｅｔｒｉｃＮｏｎｌｉｎｅａｒＥｑｕａｔｉｏｎｓＳｕＹｉ（苏毅）ａｎｄＷｕｗｅｉ（吴微）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅ...     

非线性密度制约的Ⅱ类功能反应系统的定性分析

本文对具有非线性密度制约的Ⅱ类功能反应系统进行了定性分析,给出了平衡点全局渐近稳定和存在极限环的充分条件及生态解释,所得结果就其参数空间和相空间而言都是大范围的。