排序方式: 共有59条查询结果,搜索用时 15 毫秒
11.
本文在Sobolev空间中讨论残差泛函J(u)的概念及性质,论证了残差泛函J(u)的弱紧性、强制性和下半连续性及凸性条件.根据临界点理论在Sobolev空间中建立起该残差泛函的极值原理,给出J(u)=0极小值存在定理.此外还证明了等价定理和J(R_n(c))=0的五种等价形式. 相似文献
12.
In this paper, we consider the global stability of solutions of a Weak Vector Variational Inequality in a finite-dimensional
Euclidean space. Upper semi-continuity of the solution set mapping is established. And by a scalarization method, we derive
a sufficient condition that guarantees the lower semi-continuity of the solution set mapping for the Weak Vector Variational
Inequality 相似文献
13.
We prove that if (,D) is a positivity preserving form on L
2
(E;m), and if (u
n)n is a sequence in D() converging m-almost everywhere to u L
2
(E;m), then (u,u) lim infn (u
n
,u
n
). 相似文献
14.
In this paper, we study the long-term asymptotic behaviour of solutions to the stochastic Zakharov lattice equation with multiplicative white noise. We first transfer the stochastic lattice equation into a random lattice equation and prove the existence and uniqueness of solutions which generate a random dynamical system. Then we consider the existence of a tempered random bounded absorbing set and a random attractor for the system. Finally we establish the upper semi-continuity of random attractor to the global attractor of the limiting system as the coefficients of the white noise terms tend to zero. 相似文献
15.
凌镛镛 《应用数学和力学(英文版)》1992,13(3):273-279
In the present paper the concept and properties of the residual functional in Sobolev space are investigated. The weak compactness,
force condition, lower semi-continuity and convex of the residual functional are proved. In Sobolev space, the minimum principle
of the residual functional is proposed. The minimum existence theoreom for J(u)=0 is given by the modern critical point theory.
And the equivalence theorem or five equivalence forms for the residual functional equation are also proved. 相似文献
16.
In this paper, we propose an iterative method of approximating solutions for a class of the system of generalized variational inequalities and give a convergence result for the iterative method in uniformly convex and uniformly smooth Banach spaces. 相似文献
17.
文[Erguang YANG. On some generalized countably compact spaces. J. Math. Res. Appl., 2019, 39(5): 540-550]中给出了对某些广义可数紧空间,如拟-$\gamma$空间、拟-Nagata空间、$wN$-空间及$wM$-空间等的实值函数刻画.本文继续这一研究,给出了上述空间类的其它形式的实值函数刻画. 相似文献
18.
Marcel Bogdan 《Optimization》2014,63(1):15-20
In this paper we consider a sequence of vector optimization problems. We aim to generalize a vector condition that relates the parametric function and the limit function. In particular, we recover our condition given in the scalar case. Our stability approach is such that the limit of the sequence of solutions that correspond to vector optimization problems to be a solution of a limit vector optimization problem. Therefore, one can view our statement as an existence result. This general framework has been used in several previous works. In our main theorem, we use the notion of strong lower cone-semi-continuity. An example is given to illustrate why only cone-lower semi-continuity for the limit function is not sufficient for our result. 相似文献
19.
拟凸函数判别准则的一个注记 总被引:6,自引:0,他引:6
我们在上半连续的条件下,给出了拟凸函数的一个新的判别准则,即:凸集上的一个上半连续函数是拟凸的充分必要条件是这个函数是中间拟凸的。 相似文献
20.
Fixed Point Theorems in Relational Metric Spaces with an Application to Boundary Value Problems 下载免费PDF全文
Gopi Prasad & Deepak Khantwal 《偏微分方程(英文版)》2021,34(1):83-93
In this paper, we establish fixed point theorems for generalized nonlinear
contractive mappings using the concept of ω-distance in relational metric spaces. Thus
we generalize the recent results of Senapati and Dey [J. Fixed Point Theory Appl. 19,
2945-2961 (2017)] and many other important results relevant to this literature. In order
to revel the usefulness of such investigations, an application to first order periodic
boundary value problem are given. Moreover, we furnish a non-trivial example to
demonstrate the validity of our generalization over previous existing results. 相似文献