共查询到20条相似文献,搜索用时 608 毫秒
1.
C Hooley 《Proceedings Mathematical Sciences》2001,111(3):249-262
Letv(n) be the number of positive numbers up to a large limit n that are expressible in essentially more than one way by a binary
formf that is a product ofl > 2 distinct linear factors with integral coefficients. We prove that
, where
, thus demonstrating in particular that it is exceptional for a number represented byf to have essentially more than one representation. 相似文献
2.
Bogdan Batko Jacek Tabor 《Abhandlungen aus dem Mathematischen Seminar der Universit?t Hamburg》1999,69(1):67-73
Let G be a commutative semigroup and letL be a complete Archimedean Riesz Space. Suppose thatF: G → L satisfies for somee ∈ L
+ the inequality
Then there exists a unique additive mappingA : G → L such that
As the method of the proof we use the Johnson-Kist Representation Theorem. 相似文献
3.
LI Xiong 《中国科学A辑(英文版)》2001,44(2):137-144
We are concerned with the boundedness of all the solutions for second order differential equation
, wheref(x) andg(x) are odd, e( t) is odd and 1-periodic, andg(x) satisfies
相似文献
4.
L. G. Arabadzhyan 《Mathematical Notes》1997,62(3):271-277
We study the solvability of the integral equation
, wheref∈L
1
loc(ℝ) is the unknown function andg,T
1, andT
2 are given functions satisfying the conditions
.
Most attention is paid to the nontrivial solvability of the homogeneous equation
.
Translated fromMatematicheskie Zametki, Vol. 62, No. 3, pp. 323–331, September, 1997.
Translated by M. A. Shishkova 相似文献
5.
Pitambar Das 《Proceedings Mathematical Sciences》1995,105(2):219-225
Consider the odd-order functional differential equation
相似文献
6.
M. N. Feller 《Ukrainian Mathematical Journal》2000,52(5):789-802
We present a method for the solution of the Cauchy problem for three broad classes of nonlinear parabolic equations
7.
Qikeng Lu 《中国科学A辑(英文版)》1998,41(10):1061-1067
Let the coordinatex=(x
0,x
1,x
2,x
3) of the Minkowski spaceM
4 be arranged into a matrix
8.
C. Hooley 《Proceedings Mathematical Sciences》1999,109(4):333-343
It is proved that the number of ways of expressing a large positive integern as the sum of four biquadrates is
9.
In this paper, sufficient conditions are obtained for oscillation of all nontrivial, prepared, symmetric solutions of a class
of nonlinear second order matrix differential equations of the form
10.
WANGSHU WENSHIHLIANG YEQIXIAO 《高校应用数学学报(英文版)》1997,12(2):127-138
FINITETRAVELINGWAVESFORAREACTION┐DIFFUSIONSYSTEMWITHN(3)COMPONENTSWANGSHU,WENSHIHLIANGANDYEQIXIAOAbstract.Inthispaper,theex... 相似文献
11.
Liu Yuji 《Mathematica Slovaca》2007,57(3):225-242
In this paper, we establish sufficient conditions to guarantee the existence of at least three or 2n − 1 positive solutions of nonlocal boundary value problems consisting of the second-order differential equation with p-Laplacian
12.
V. N. Grishin 《Mathematical Notes》1999,66(5):533-540
A set-theoretic LST system based on a logic without rules of contraction of identical formulas in the antecedent or succedent
of sequents is introduced. The set-theoretic axioms used are the comprehension principle,
13.
E. Z. Borevich 《Journal of Mathematical Sciences》1999,97(4):4225-4232
The system of equations
14.
Rong Yuan 《中国科学A辑(英文版)》1998,41(3):232-241
By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of
neutral delay differential equations with piecewise constant argument
15.
V. K. Jain 《Proceedings Mathematical Sciences》2000,110(2):137-146
For an arbitrary entire functionf and anyr>0, letM(f,r):=max|z|=r
|f(z)|. It is known that ifp is a polynomial of degreen having no zeros in the open unit disc, andm:=min|z
|=1|p(z)|, then
16.
This paper deals with the problem of small oscillations in a liquid layer of finite depth under the assumption that the bottom
is an elastic medium. The system of equations corresponding to the problem is written out and explained. The main aim of the
paper is to recast these equations in the form
17.
L. V. Kritskov 《Mathematical Notes》1999,65(4):454-461
Suppose thatА is a nonnegative self-adjoint extension to {
} of the formal differential operator−Δu+q(x)u with potentialq(x) satisfying the condition {
18.
Wang Lei Pan Ting Dept. of Math. Zhejiang Univ. Hangzhou China. Univ. of International Relation Hangzhou China. 《高校应用数学学报(英文版)》2004,19(2):212-222
Ibαf ( x) =∫R ∏mj=1( bj( x) - bj( y) ) 1| x - y| n-αf ( y) dyare considered.The following priori estimates are proved.For 1
01Φ1t| {y∈Rn:| Ibαf( y) | >t}| 1q ≤csupt>01Φ1t| {y∈Rn:ML( log L) 1r ,α(‖b‖f ) ( y) >t}| 1q,where‖b‖=∏mj=1‖bj‖Oscexp Lrj,Φ( t) =t( 1 + log+t) 1r,1r =1r1+ ...+ 1rm,ML(… 相似文献 19.
In this article, the operator
is introduced and named as the Bessel diamond operator iteratedk times and is defined by
20.
We provea priori inequalities for non-subelliptic quasilinear equations related to the Monge-Ampère equation in two dimensions, for example,
equations of the type
|