搜索结果: 31-42 共查到“数学 continuity”相关记录42条 . 查询时间(0.062 秒)
On the continuity of functions
nonstandard Analysis convex functions continuity compact set convex set
2009/3/3
Some theorems on continuity are presented. First we will prove
that every convex function f : Rn ! R is continuous using nonstandard
analysis methods. Then we prove that if the image of every compac...
Lipschitz Continuity of the State Function in a Shape Optimization Problem
Lipschitz State Function Optimization Problem
2009/1/20
This paper deals with the existence and the regularity of state function $u$ in an $N$-dimensional shape optimization problem. We use a variational approach to get the existence of a solution $u$ of a...
On the continuity of functions
nonstandard Analysis convex functions continuity compact set convex set
2009/1/6
Some theorems on continuity are presented. First we will prove
that every convex function f : Rn ! R is continuous using nonstandard
analysis methods. Then we prove that if the image of every compac...
H¨older Continuity of Solutions of 2D Navier-Stokes Equations with Singular Forcing
Navier-Stokes equations H¨older continuity singular forcing.
2014/4/3
We discuss the regularity of solutions of 2D incompressible NavierStokes equations forced by singular forces. The problem is motivated by the study of complex fluids modeled by the Navier-Stokes...
Some results concerning quasi-continuity and fragmentability
Quasi-open sets Quasi-continuity Fragmentability
2010/9/10
We shall show that every quasi-continuous mapping g : Z −→ X of a topological space Z into a topological space X which has countable base can be discontinuous only on a set of first category. Al...
Continuity Properties of Convex-type Set-Valued Maps
Convex functions set--valued maps $K$-midconvex set-valued maps $K$-continuity
2008/7/1
Continuity Properties of Convex-type Set-Valued Maps.
Subsets on which Boundedness of Convex Functions Implicit Continuity
Convex function Boundedness Continuity Banach space
2007/12/12
To guarantee every real-valued convex function bounded above on a set is continuous, how ''thick'' should the set be? For a symmetric set $\mathbf{A}$ in a Banach space $E$, the answer of this paper i...
H¨older continuity of the weak solutions for parabolic equations with the nonstandard growth condition
Boundedness H\
2007/12/12
In this paper, we investigate the interior regularity including the local boundedness and the interior H\"{o}lder continuity of weak solutions for parabolic equations of the $p(x,t)$-Laplacian type. W...
A unified approach is proposed for making a continuity adjustment on some control charts for attributes, e.g., np-chart and c-chart, through adding a uniform (0, 1) random observation to the conventio...
The Factor Decomposition Theorem of Bounded Generalized Inverse Modules and Their Topological Continuity
factor decomposition generalized inverse module map
2007/12/10
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...
The Restriction and the Continuity Properties of Potentials Depending on l-distance
Riesz Potential Non-Isotropic distance
2010/2/26
In this study we establish theorems on the restriction and continuity of the generalized Riesz potentials with the non-isotropic kernels depending on l-distance.
In 2004, Al-Hawary and Al-Omari introduced and explored the class of wo-open sets which is strictly stronger than the class of w-open sets and weaker than that of open sets. In this paper, we introduc...