共查询到20条相似文献,搜索用时 78 毫秒
1.
胡适耕 《高校应用数学学报(A辑)》1994,(4):391-400
本文对定义于一定有序局部紧空间上的向量值函数建立一个Bihari型积分不等式,并给出其对于非线性Volterra型积分方程的若干应用。 相似文献
2.
倒向随机微分方程解的比较定理 总被引:13,自引:0,他引:13
毛学荣新近将彭实戈和Pardoux关于倒向随机策分方程解的存在性定理推广到非Lipschitz系数情景,此文将彭实戈的比较定理推广到这一情形,主要工具是Tanaka-Meyer公式,Davis不等式和Bihari不等式。 相似文献
3.
本文考虑一定有序局部紧空间上含多重积分的Volterra型积分方程,给出了此类方程可解的充分条件,建立了相应的积分不等式.本文结果包含许多已知结论作为特殊情况. 相似文献
4.
5.
6.
该文研究空间Beltrami方程的推广形式,即双特征Beltrami方程.利用外微分形式与矩阵的外代数等工具,将双特征Beltrami方程转化为一个非齐次的狆 调和方程,转化过程中只用到加于特征矩阵的一致椭圆型条件.然后验证了算子犃满足的条件:Lipschitz型条件、单调不等式、齐次性条件以及算子犅满足的控制增长条件.并利用得到的狆 调和方程,给出了双特征Beltrami方程广义解分量函数的弱单调性结果. 相似文献
7.
本文利用多复变函数论中一系列的积分表示.对具有紧支集的(0,1)形式建立了Cn中的Zggmund-Calderon不等式.作为这一个不等式的一个直接应用,文[9]得到了Cn中Beltrami方程组的整体同胚解. 相似文献
8.
关于Ou—Iang型非线性积分不等式 总被引:6,自引:1,他引:5
对B.C.Pachpatte在「2」中和Yang Enhao在「4」中给出的推广的Ou-Iang积分不等式作进一步研究,给出了两个具有更广泛意义的Ou-Iang型非线性积分不等式及其应用。 相似文献
9.
乌兰哈斯 《数学年刊A辑(中文版)》1994,(3)
本文研究了复超球上Carleson测度的特征.特别是用Bergman函数和Bloch函数的导数的积分性质刻画了Carleson测度,并建立了复超球上的Bergman空间和Bloch空间的Carleson不等式. 相似文献
10.
11.
A Cauchy type singular integral equation can be numerically solved by the use of an appropriate numerical integration rule and the reduction of this equation to a system of linear algebraic equations, either directly or after the reduction of the Cauchy type singular integral equation to an equivalent Fredholm integral equation of the second kind. In this paper two fundamental theorems on the equivalence (under appropriate conditions) of the aforementioned methods of numerical solution of Cauchy type singular integral equations are proved in sufficiently general cases of Cauchy type singular integral equations of the second kind. 相似文献
12.
Lászlo Horváth 《Integral Equations and Operator Theory》2003,45(2):155-176
In this paper, we consider a class of integral equations in measure
spaces, and the corresponding integral inequalities. Special cases are Volterra
type integral equations and Gronwall type integral inequalities. We give different
necessary and su.cient, and only su.cient conditions which together
with the Lipschitz condition imply the existence and the uniqueness of solutions
of the considered integral equations. We study the successive approximations
for the considered integral equations. We derive estimates for the
solutions of the studied integral equations and integral inequalities.
Submitted: June 20, 2000?Revised: July 10, 2001 相似文献
13.
Kirill Naralenkov 《Czechoslovak Mathematical Journal》2010,60(3):737-750
In this paper two Denjoy type extensions of the Pettis integral are defined and studied. These integrals are shown to extend
the Pettis integral in a natural way analogous to that in which the Denjoy integrals extend the Lebesgue integral for real-valued
functions. The connection between some Denjoy type extensions of the Pettis integral is examined. 相似文献
14.
In this paper, a Feng Qi type inequality for Sugeno integral is shown. The studied inequality is based on the classical Feng
Qi type inequality for Lebesgue integral. Moreover, a generalized Feng Qi type inequality for Sugeno integral is proved with
several examples given to illustrate the validity of the proposed inequalities. 相似文献
15.
Summary
We obtain estimates for solutions of integral inequalities of Gronwall type involving Stieltjes integrals and their inverse inequalities. From these we obtain some new results for integral inequalities for Riemann integrals and functional integral inequalities. Extensions are also given to Bihari type integral inequalities.Research supported by NSERC Canada. 相似文献
16.
The Chebyshev type inequality for seminormed fuzzy integral is discussed. The main results of this paper generalize some previous results obtained by the authors. We also investigate the properties of semiconormed fuzzy integral, and a related inequality for this type of integral is obtained. 相似文献
17.
N.I. Ioakimidis 《Applied mathematics and computation》1983,12(1):49-60
The collocation method for the numerical solution of Fredholm integral equations of the second kind is applied, properly modified, to the numerical solution of Cauchy type singular integral equations of the first or the second kind but with constant coefficients. This direct method of numerical solution of Cauchy type singular integral equations is compared afterwards with the corresponding method resulting from applying the collocation method to the Fredholm integral equation of the second kind equivalent to the Cauchy type singular integral equation, as well as with another method, based also on the regularization procedure, for the numerical solution of the same class of equations. Finally, the convergence of the method is discussed. 相似文献
18.
We obtain new convolutions for quadratic-phase Fourier integral operators (which include, as subcases, e.g., the fractional Fourier transform and the linear canonical transform). The structure of these convolutions is based on properties of the mentioned integral operators and takes profit of weight-functions associated with some amplitude and Gaussian functions. Therefore, the fundamental properties of that quadratic-phase Fourier integral operators are also studied (including a Riemann–Lebesgue type lemma, invertibility results, a Plancherel type theorem and a Parseval type identity). As applications, we obtain new Young type inequalities, the asymptotic behaviour of some oscillatory integrals, and the solvability of convolution integral equations. 相似文献
19.
In this paper, the topological of integral surfaces near certain of Lyapunov type singularpoints and certain type of nodes of ordinary differential equations in complex domain are studied.We introduce Briot-Bouquet transformation, in order to study the topological structure of integralsurfaces near higher order singular points. At last we give an estimate of the makimum numberof isolated limit integral surfaces passing through certain type of higher order singular points. 相似文献
20.
给出了利用球坐标求解第一型曲面积分的方法及在球坐标系下第一型曲面积分转化为二重积分的公式,实例表明这种方法是可行的.此研究丰富了第一型曲面积分的计算方法,也可为在高校《高等数学》课程教学中对学生能力的培养提供素材. 相似文献