共查询到20条相似文献,搜索用时 46 毫秒
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Qing-Ming Cheng 《Commentarii Mathematici Helvetici》1996,71(1):60-69
In this paper, we prove that ifM is ann-dimensional closed minimal hypersurface with two distinct principal curvatures of a unit sphereS n+1 (1), thenS=n andM is a Clifford torus ifn≤S≤n+[2n 2(n+4)/3(n(n+4)+4)], whereS is the squared norm of the second fundamental form ofM. 相似文献
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We investigate the boundedness nature of positive solutions of the difference equation $$ x_{n + 1} = max\left\{ {\frac{{A_n }} {{X_n }},\frac{{B_n }} {{X_{n - 2} }}} \right\},n = 0,1,..., $$ where {A n } n=0 ∞ and {B n } n=0 ∞ are periodic sequences of positive real numbers. 相似文献
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J. Siekmann 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》1961,12(6):565-567
Zusammenfassung Es wird eine Übersicht über den Verlauf der Integralkurven einer in der Grenzschichttheorie auftretenden Differentialgleichung gegeben. Die Lösungen wurden mittels eines Analogrechners berechnet. 相似文献
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V. P. Maslov 《Functional Analysis and Its Applications》1994,28(1):33-41
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S. V. Fomin 《Journal of Mathematical Sciences》1984,27(5):3152-3160
Sufficient conditions for convergence in the central limit theorem (for identically distributed random variables) with respect to the topology specified in the title are given. These conditions hold for the uniform distribution although there exist distributions with smooth densities concentrated on a bounded interval for which the convergence result does not hold. 相似文献
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ChaoHua Jia 《中国科学 数学(英文版)》2012,55(3):465-474
If n is a positive integer,let f (n) denote the number of positive integer solutions (n 1,n 2,n 3) of the Diophantine equation 4/n=1/n1 + 1/n2 + 1/n3.For the prime number p,f (p) can be split into f 1 (p) + f 2 (p),where f i (p) (i=1,2) counts those solutions with exactly i of denominators n 1,n 2,n 3 divisible by p.In this paper,we shall study the estimate for mean values ∑ p相似文献
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Giovanni Sansone 《Annali di Matematica Pura ed Applicata》1967,77(1):337-375
Sunto Come viene indicato nell'introduzione l'A, studia il comportamento di tutti gli integrali dell'equazione oggetto della presente
memoria, nel piano reale, per v ∈[0, 1], metendo in luce l'esistenza di due integrali fondamentali.
Memoria dedicata a Masuo Hukuhara e Mitio Nagumo 相似文献
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Deng Yinbing 《数学学报(英文版)》1993,9(3):311-320
In this paper, we discuss the existence and nonexistence of solutions for the problem311-2 where Ω is a bounded smoothness domain inR
N, γ ε R1, μ>-0,f(x) is a given non-negative function. Some interesting resultus have been obtained.
This work was completed in Institute of Math. Academia Sinica as a visiting scholar 相似文献
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The integral $$\int_0^{{\pi \mathord{\left/ {\vphantom {\pi 4}} \right. \kern-\nulldelimiterspace} 4}} {\ln \left( {\cos ^{{m \mathord{\left/ {\vphantom {m n}} \right. \kern-\nulldelimiterspace} n}} \theta \pm \sin ^{{m \mathord{\left/ {\vphantom {m n}} \right. \kern-\nulldelimiterspace} n}} \theta } \right)d\theta } $$ where m and n are relatively prime positive integers, is evaluated exactly in terms of elementary functions and the Catalan constant G. 相似文献
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the Alternating Segment Crank-Nicolson scheme for one-dimensional diffusion equation has been developed in [1],and the Alternating Block Crank-Nicolson method for two-dimensional problem in [2].The methods have the advantages of parallel computing,stability and good accuracy.In this paper for the two-dimensional diffusion equation,the net region is divided into bands,a special kind of block.This method is called the alternating Band Crank-Nicolson method. 相似文献
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In this paper, we modified the so-called generalized (G′/G)-expansion method to obtain new traveling wave solutions for nonlinear
differential equations. The generalized Zakharov equations are chosen to illustrate the method in detail. 相似文献
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W. Heymann 《Mathematische Annalen》1886,26(4):534-545
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P. G. Todorov 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1995,65(1):147-153
We give three explicit formulas for the Taylor coefficients of the function in the title. As an application we prove a conjecture ofSilverman andSilvia for the fourth Taylor coefficient of a class of univalent functions starlike with respect to a boundary point. 相似文献