共查询到20条相似文献,搜索用时 93 毫秒
1.
J. Appell I. MassabÒ A. Vignoli P. P. Zabrejko 《Annali di Matematica Pura ed Applicata》1988,152(1):123-137
Summary In this paper we give necessary and sufficient conditions for the superposition operator Fx(s)=f(s, x(s)) to satisfy a Lipschitz condition Fx1 - Fx2kx1 - x2 or a Darbo condition (FN)k(N) in ideal spaces of measurable functions, where is the Hausdorff measure of noncompactness. Moreover, we characterize a large class of spaces in which the above mentioned two conditions are equivalent.
Sunto In questo lavoro diamo delle condizioni necessarie e sufficienti perchè l'operatore di sovrapposizione Fx(s)=f (s, x(s)) soddisfi alla condizione di Lipschitz Fx1–Fx2 kx1–x2 o quella di Darbo (FN)k(N) in spazi ideali di funzioni misurabili, ove è la misura di non compattezza di Hausdorff. Inoltre, caratterizziamo un'ampia classe di spazi in cui le suddette due condizioni sono equivalenti.相似文献
2.
H. Triebel 《Analysis Mathematica》1977,3(4):299-315
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p,q
g(x)
F
p,q
g(x)
( ) R
n
. --, . : , , , . 相似文献
3.
M. Milman 《Analysis Mathematica》1978,4(3):215-223
X(Y) f -:X(Y)={fM(×): fX(Y)=f(x,.)YX< . =(0, ), M (×) — , ×, X, Y, Z— . X(Y) Z(×). 相似文献
4.
T. Jerofsky 《Analysis Mathematica》1977,3(4):257-262
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.
This paper was written during the author's scholarship at the State University of Odessa in the USSR. 相似文献
This paper was written during the author's scholarship at the State University of Odessa in the USSR. 相似文献
5.
( qP. ) 相似文献
6.
Regularization of Nonlinear Ill-Posed Variational Inequalities and Convergence Rates 总被引:12,自引:0,他引:12
Let H be a Hilbert space and K be a nonempty closed convex subset of H. For f H, we consider the (ill-posed) problem of finding u K for which 0 for all v K, where A : H H is a monotone (not necessarily linear) operator. We study the approximation of the solutions of the variational inequality by using the following perturbed variational inequality: for f H, f – f , find u, K for which 0 for all v K, where , , and are positive parameters, and K, a perturbation of the set K, is a nonempty closed convex set in H. We establish convergence and a rate O(1 / 3) of convergence of the solutions of the regularized variational inequalities to a solution of the original variational inequality using the Mosco approximation of closed convex sets, where A is a weakly differentiable inverse-strongly-monotone operator. 相似文献
7.
Arturo A. L. Sangalli 《manuscripta mathematica》1972,6(2):177-205
In this paper we propose an axiomatization of the notion of system of terms of a theory by means of which we obtain a representation of equational classes (or varieties) of algebras. We define analgebraic
transformational
system (S.T.A.) as a quadruple (T,v,S,+) satisfying the axioms, where T is a set containing the variables v(n), n, and having operators S(): TT, . In addition there are operations Q+ on T commuting with the operators. A notion of morphism between S.T.A. 's is defined to obtain the category which is shown to be equivalent to the dual of the category of equational classes. In the last section we establish the equivalence between and Lawvere's category of algebraic theories in which every definable constant is present.
Extrait de la Thèse de doctorat de l'auteur, Université de Montréal, 1971. 相似文献
Extrait de la Thèse de doctorat de l'auteur, Université de Montréal, 1971. 相似文献
8.
We establish conditions under which the relation M(x, F) (x, F) m(x, F) holds except for a small set, as ¦x¦ + for an entire function F(z) of several complex variables z (p2) represented by a Dirichlet series, where M(x, F) = sup{¦F(x+iy¦: y p}, m(x, F) = inf{¦F(x+iy)¦: y p} (x, F) being the maximal term of the Dirichlet series, and x p.Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 4, 1997, pp. 21–25. 相似文献
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12.
K. Tandori 《Analysis Mathematica》1980,6(2):157-164
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L
2. , . , :
a
k
l
2
n
() [0,1] , (*) , (**) .
a
k
l
2
u
n
() [0,1] , (**), (*) . 相似文献
13.
For a bounded regular Jordan domain in R
2, we introduce and study a new class of functions K() related on its Green function G. We exploit the properties of this class to prove the existence and the uniqueness of a positive solution for the singular nonlinear elliptic equation u+(x,u)=0, in D(), with u=0 on and uC(), where is a nonnegative Borel measurable function in ×(0,) that belongs to a convex cone which contains, in particular, all functions (x,t)=q(x)t
–,>0 with nonnegative functions qK(). Some estimates on the solution are also given. 相似文献
14.
A. Kroó 《Analysis Mathematica》1981,7(4):257-263
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n
(f) f . , n+2 , f–p
n
(f) . , n . , .
On the distribution of points of maximal deviation in complex ebyev approximation相似文献
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16.
Anne Bertrand-Mathis 《Acta Mathematica Hungarica》1998,78(1-2):71-78
We show that for reasonable couples of Pisot number and , there is no measure simultaneously invariant by the two transformations of [0, 1], x {x} and x {x}, and Bernoulli (or weak Bernoulli) for one of the transformations. 相似文献
17.
- . . . , . 相似文献
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. . 相似文献
19.
, n- n- 1 , . , , ( « ») f . 相似文献
20.
B. D. Bojanov 《Analysis Mathematica》1980,6(3):185-197
(v
k)
1
n
, 1v
kr, v1+...+vn
r, p(;r) — =(x
1,v
1),...,(x
n,v
n), v
1+...+v
n-r
(r(;·)=1. , (*;t) [, ] (;t) x
1<... n v
1 ...,v
n. (*;t) . 相似文献