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1.
In the paper, we investigate an elliptic system well-known as the Gray-Scott model and present some further results for positive solutions of this model. More precisely, we give the refined a priori estimates of positive solutions, and improve some previous results for the non-existence and existence of positive non-constant solutions as the parameters are varied, which imply some certain conditions where the pattern formation occurs or not.  相似文献   

2.
In this article, we introduce the concept of demicompactness with respect to a closed densely defined linear operator, as a generalization of the class of demicompact operator introduced by Petryshyn in [24] and we establish some new results in Fredholm theory. Moreover, we apply the obtained results to discuss the incidence of some perturbation results on the behavior of relative essential spectra of unbounded linear operators acting on Banach spaces. We conclude by characterizations of the relative Schechter's and approximate essential spectrum.  相似文献   

3.
In this paper we introduce the homogeneous Besov type spaces ∧p,q^γ(K) on the dual of Laguerre hypergroup K and we establish some new harmonic analysis results. We give some character- izations of these spaces using equivalent seminorms. Also we study the non-homogeneous Besov type spaces ∧p,q^γ(K). We give some properties of these spaces and embeddings results with respect to their parameters p, q and γ.  相似文献   

4.
In this article, we establish some uniqueness theorems that improves some results of H. X. Yi for a family of meromorphic functions, and as applications, we give some results about the non-existence of meromorphic solutions of Fermat type functional equations.  相似文献   

5.
In this paper, we introduce and investigate the concept of conformable delta fractional derivative on time scales. By using the theory of time scales, we obtain some basic properties of the conformable delta fractional derivative. Our results extend and improve both the results in [9] and the usual delta derivative.  相似文献   

6.
In this paper, we obtain some stability results for perturbed vector equilibrium problems. Under new assumptions, which are weaker than the assumption of C-strict monotonicity, we provide sufficient conditions for the Painlev~-Kuratowski Convergence of the weak efficient solution sets and efficient solution sets for the perturbed vector equilibrium problems with a sequence of mappings converging in real linear metric spaces. These results extend and improve some known results in the literature.  相似文献   

7.
In the present paper, we propose the q analogue of Sz a′sz-Beta-Stancu operators. By estimate the moments, we establish direct results in terms of the modulus of smoothness. Investigate the rate of point-wise convergence and weighted approximation properties of the q operators. Voronovskaja type theorem is also obtained.Our results generalize and supplement some convergence results of the q-Sz a′sz-Beta operators, thus they improve the existing results.  相似文献   

8.
In this paper, we consider Carlson type inequalities and discuss their possible improvement. First, we obtain two different types of generalizations of discrete Carlson's inequality by using the Hlder inequality and the method of real analysis, then we combine the obtained results with a summation formula of infinite series and some Mathieu type inequalities to establish some improvements of discrete Carlson's inequality and some Carlson type inequalities which are equivalent to the Mathieu type inequalities. Finally, we prove an integral inequality that enables us to deduce an improvement of the Nagy-Hardy-Carlson inequality.  相似文献   

9.
We mainly discuss the invariance of some subclasses of biholomorphic mappings under the generalized Roper-Suffridge operators on Bergman-Hartogs domains which are based on the unit ball Bn. Using the geometric properties and the distortion results of subclasses of biholomorphic mappings, we obtain the geometric characters of almost spirallike mappings of type β and order α, S_?~*(β, A, B), strong and almost spirallike mappings of type βand order α maintained under the generalized Roper-Suffridge operators on Bergman-Hartogs domains. Sequentially, we conclude that the generalized operators and the known operators preserve the same properties under some conditions. The conclusions generalize some known results.  相似文献   

10.
柏灵  王克 《东北数学》2005,21(1):95-104
In this article, we consider compound matrices and compound operator equations in a Hilbert space. First, we recall some concepts and main results introduced by Muldowney and by Roger Temam. After that we establish the rule of compound matrices in a Hilbert space, and obtain the expression of solution to a compound operator equation by using the method of operator semigroup. Our brief results generalize the corresponding results in a finite space.  相似文献   

11.
In this paper, we establish several new Hilbert-type inequalities with a homogeneous kernel, involving arithmetic, geometric, and harmonic mean operators in both integral and discrete case. Such inequalities are derived by virtue of some recent results regarding general Hilbert-type inequalities and some well-known classical inequalities. We also prove that the constant factors appearing in established inequalities are the best possible. As an application, we consider some particular settings and compare our results with previously known from the literature.  相似文献   

12.
A new reverse Hilbert-type inequality with a best constant factor   总被引:1,自引:0,他引:1  
In this paper, we give a new reverse Hilbert-type inequality with a best constant factor and some parameters. As application, we consider the equivalent form and some particular results.  相似文献   

13.
关于一个Hilbert类不等式及其应用   总被引:1,自引:0,他引:1  
杨必成 《应用数学》2002,15(1):52-56
本文给出一个具有同样最佳常数π的Hilbert类不等式。作为应用,建立其等价形式及导出一些特殊的结果。  相似文献   

14.
本文引入单参数λ,对一个Hilbert类不等式作具有最佳常数因子的推广.作为应用,建立它的等价形式并获得了一些特殊结果.  相似文献   

15.
本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。  相似文献   

16.
Considering five different parameters, we obtain some new Hilbert-type integral inequalities for functions f(x), g(x) in L2[0, ∞). Then, we extract from our results some special cases which have been proved before.  相似文献   

17.
本文通过引入多个参数和估计权函数的方法,给出了一个具有最佳常数因子的Hilbert型逆向不等式.作为应用,建立了它的等价式并获得了一些特殊结果.  相似文献   

18.
交替方向法求解带线性约束的变分不等式   总被引:1,自引:0,他引:1  
1引言变分不等式是一个有广泛应用的数学问题,它的一般形式是:确定一个向量,使其满足这里f是一个从到自身的一个映射,S是R中的一个闭凸集.在许多实际问题中集合S往往具有如下结构其中AbK是中的一个简单闭凸集.例如一个正卦限,一个框形约束结构,或者一个球简言之,S是R中的一个超平面与一个简单闭凸集的交.求解问题(1)-(2),往往是通过对线性约束A引人Lagrange乘子,将原问题化为如下的变分不等式:确定使得我们记问题(3)-(4)为VI(F).熟知[3],VI(,F)等价于投影方程其中凡(·)表…  相似文献   

19.
一个新的Hardy-Hilbert类不等式及其应用   总被引:11,自引:2,他引:9  
杨必成 《数学学报》2003,46(6):1079-108
本文求出一个具有相同最佳常数因子的类似于Hardy-Hilbert不等式的新不 等式.作为应用,给出它的等价形式及一些特殊结果.  相似文献   

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