共查询到20条相似文献,搜索用时 62 毫秒
1.
In this paper, we shall show that under suitable conditions on f and K, the inequalities imply that the integro-differential inequalities have no positive solutions, respectively. 相似文献
2.
For an impulsive delay differential equation exponent estimates of solutions have been obtained. 相似文献
3.
S. Lynch 《Applied Mathematics Letters》1995,8(6):15-17
The generalized Liénard equations of the form: where F, g, and h are polynomials, are examined. It has been found that the results given by Blows, Lloyd and Lynch [1–5] for Liénard equations hold also for the generalized systems. A new result is also presented within this article. 相似文献
4.
We give a characterization for the geometric mean inequality to hold for the case 0 < q < p ≤ ∞, p > 1, where f is positive a.e. on (0, ∞), and C > 0 independent of f. 相似文献
5.
Daniel Neuenschwander 《Statistics & probability letters》1998,40(4):371-377
Let {A(t)}−∞<t<∞ be Lévy's stochastic area process and assume {W(t)}t0 is an independent Brownian motion. Then we prove the following local law of the iterated logarithm for the composed process {A(W(t))}t;0: . 相似文献
6.
Hsin-Min Sun 《Discrete Mathematics》2001,240(1-3):205-217
Suppose (N,+,·) is a finite (left) planar nearring. Define the (line) segment in N with endpoints a and b by We prove that under many circumstances we havewhich is the same phenomenon as in the Euclidean plane. 相似文献
7.
Jia-yu Shao
Wan-di Wei
《Discrete Mathematics》1992,110(1-3):293-296We establish an explicit formula for the number of Latin squares of order n: , where Bn is the set of n×n(0,1) matrices, σ0(A is the number of zero elements of the matrix A and per A is the permanent of the matrix A. 相似文献
8.
G. P. Klimov 《Applied Mathematics Letters》1991,4(6):95-97
Let F be a non-arithmetic distribution on the line
, and W be the class of bounded functions w without discontinuity of the second kind such that .In this paper, we show that the solution of the homogeneous renewal equation w = w F in the class W is a constant-function. 相似文献
9.
Y. S. Rama Krishnaiah 《Statistics & probability letters》1990,10(5):439-447
Given \s{Xi, i 1\s} as non-stationary strong mixing (n.s.s.m.) sequence of random variables (r.v.'s) let, for 1 i n and some γ ε [0, 1], and . For any real sequence \s{Ci\s} satisfying certain conditions, let .
F1(x)=γP(Xi<x)+(1-γ)P(Xix)
Ii(x)=γI(Xi<x)+(1-γ)I(Xix)
In this paper an exponential type of bound for P(Dn ), for any >0, and a rate for the almost sure convergence of Dn are obtained under strong mixing. These results generalize those of Singh (1975) for the independent and non-identically distributed sequence of r.v.'s to the case of strong mixing. 相似文献
10.
A. Vince 《Discrete Applied Mathematics》2004,140(1-3):223-239
Integrity, a measure of network reliability, is defined aswhere G is a graph with vertex set V and m(G−S) denotes the order of the largest component of G−S. We prove an upper bound of the following form on the integrity of any cubic graph with n vertices:Moreover, there exist an infinite family of connected cubic graphs whose integrity satisfies a linear lower bound I(G)>βn for some constant β. We provide a value for β, but it is likely not best possible. To prove the upper bound we first solve the following extremal problem. What is the least number of vertices in a cubic graph whose removal results in an acyclic graph? The solution (with a few minor exceptions) is that n/3 vertices suffice and this is best possible. 相似文献
11.
Michel Sebille 《Discrete Mathematics》2001,240(1-3):197-204
In 1994, van Trung (Discrete Math. 128 (1994) 337–348) [9] proved that if, for some positive integers d and h, there exists an Sλ(t,k,v) such thatthen there exists an Sλ(v−t+1)(t,k,v+1) having v+1 pairwise disjoint subdesigns Sλ(t,k,v). Moreover, if Bi and Bj are any two blocks belonging to two distinct such subdesigns, then d|Bi∩Bj|<k−h. In 1999, Baudelet and Sebille (J. Combin. Des. 7 (1999) 107–112) proved that if, for some positive integers, there exists an Sλ(t,k,v) such thatwhere m=min{s,v−k} and n=min{i,t}, then there exists anhaving
pairwise disjoint subdesigns Sλ(t,k,v). The purpose of this paper is to generalize these two constructions in order to produce a new recursive construction of t-designs and a new extension theorem of t-designs. 相似文献
12.
Oscillation theorems for second-order half-linear differential equations 总被引:11,自引:0,他引:11
Oscillation criteria for the second-order half-linear differential equation are established, where > 0 is a constant and
exists for t [t0, ∞). We apply these results to the following equation: where
, D = (D1,…, DN), Ωa = x
N : |x| ≥ a} is an exterior domain, and c C([a, ∞),
), n > 1 and N ≥ 2 are integers. Here, a > 0 is a given constant. 相似文献
[r(t)|ξ′(t)|−1 ξ′(t)]′ + p(t)|ξ(t)|−1ξ(t)=0, t t0
13.
D. J. Schneck 《Mathematical and Computer Modelling》1989,12(12):1473-1485
A generic equation is developed to define the flux, Φ, of mass, energy and momentum in physiologic systems. This equation is written in terms of the concentration, ρ, of the quantity to be transported, the force driving it, a corresponding kinematic transport coefficient, , and the path and mobility associated with the transport process. Driving forces are expressed in terms of the gradient of some intensive property, ø, of the system, such that: , where n=0 for energy,
for momentum and n=1 for mass; β is a nondimensional coefficient of proportionality. Values of φ and are tabulated for various scenarios typical of transport processes occuring in physiologic systems. 相似文献
14.
Alexander R. Pruss 《Stochastic Processes and their Applications》1997,70(2):1547-180
Let X1, X2, … be independent identically distributed random variables. Then, Hsu and Robbins (1947) together with Erdös (1949, 1950) have proved that ,,
if and only if E[X21] < ∞ and E[X1] = 0. We prove that there are absolute constants C1, C2 (0, ∞) such that if X1, X2, … are independent identically distributed mean zero random variables, then
c1λ−2 E[X12·1{|X1|λ}]S(λ)C2λ−2 E[X12·1{|X1|λ}]
for every λ > 0. 相似文献
15.
The paper studies the existence of slip and stick periodic solutions to a second order equation with a discontinuous right-hand side, 相似文献
16.
Chaos in duopoly pricing 总被引:5,自引:0,他引:5
T. Puu 《Chaos, solitons, and fractals》1991,1(6):573-581
The dynamics of two competing firms in a market is studied in terms of Cournot's duopoly theory. Assuming iso-elastic demand and constant unit production costs the iterative mapping for the outputs of the two firms ensues. The two constants are the unit production costs. The fixed point, the Cournot equilibrium, has earlier been assumed to be the only interesting feature of this model. It is, however, shown that the model can produce persistent motion, periodic or chaotic. 相似文献
17.
Wan-Tong Li 《Applied Mathematics Letters》1997,10(6):101-106
Consider the first-order neutral nonlinear difference equation of the form , where τ > 0, σi ≥ 0 (i = 1, 2,…, m) are integers, {pn} and {qn} are nonnegative sequences. We obtain new criteria for the oscillation of the above equation without the restrictions Σn=0∞ qn = ∞ or Σn=0∞ nqn Σj=n∞ qj = ∞ commonly used in the literature. 相似文献
18.
Victor Reiner 《Discrete Mathematics》1995,140(1-3):129-140
This paper examine all sums of the form where W is a classical Weyl group, X is a one-dimensional character of W, and d(π) is the descent statistic. This completes a picture which is known when W is the symmetric group Sn (the Weyl group An−1). Surprisingly, the answers turn out to be simpler and generalize further for the other classical Weyl groups Bn(Cn) and Dn. The Bn, case uses sign-reversing involutions, while the Dn case follows from a result of independent interest relating statistics for all three groups. 相似文献
19.
In this paper, the new existence theorem, unique theorem of periodic solution of the periodic systemand new stationary oscillation theorem of the periodic systemare derived by using functional analysis method, algebraic method and the new estimated formulas of solution of the homogenous linear system. Our results extend and improve some main results related to references. In addition, these criteria are of great interest in many applications such as computation. 相似文献
20.
In this work, we present a new sharpened version of the classical Neuberg–Pedoe inequality. As an application, the following improved Neuberg–Pedoe inequality is derived: 相似文献