Results 71 to 80 of about 69,299 (185)

Hausdorff measure of noncompactness of matrix operators on some new difference sequence spaces

Journal of Inequalities and Applications, 2016
The new sequence spaces X ( r , s , t ; Δ ) $X(r,s,t;\Delta)$ for X ∈ { l ∞ , c , c 0 } $X\in\{l_{\infty}, c, c_{0}\}$ have been defined by using generalized means and difference operator.
Elahe Abyar, Mohammad Bagher Ghaemi
doaj   +1 more source

Cauchy problems for functional evolution inclusions involving accretive operators

Electronic Journal of Qualitative Theory of Differential Equations, 2013
We study the existence and stability of solutions for a class of nonlinear functional evolution inclusions involving accretive operators. Our approach is employing the fixed point theory for multivalued maps and using estimates via the Hausdorff measure ...
Tran Ke
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On planar self-similar sets with a dense set of rotations

, 2006
We prove that if $E$ is a planar self-similar set with similarity dimension $d$ whose defining maps generate a dense set of rotations, then the $d$-dimensional Hausdorff measure of the orthogonal projection of $E$ onto any line is zero.
Eroglu, Kemal Ilgar
core  

Measure of noncompactness of operators and matrices on the spaces c and c0

International Journal of Mathematics and Mathematical Sciences, 2006
In this note, using the Hausdorff measure of noncompactness, necessary and sufficient conditions are formulated for a linear operator and matrices between the spaces c and c0 to be compact.
Bruno De Malafosse, Eberhard Malkowsky, Vladimir Rakocevic   +2 more
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The bounded variation capacity and Sobolev-type inequalities on Dirichlet spaces

Advances in Nonlinear Analysis
In this article, we consider the bounded variation capacity (BV capacity) and characterize the Sobolev-type inequalities related to BV functions in a general framework of strictly local Dirichlet spaces with a doubling measure via the BV capacity.
Xie Xiangyun, Liu Yu, Li Pengtao, Huang Jizheng   +3 more
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Hausdorff Dimension of Caloric Measure

American Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
openaire   +2 more sources

Gromov - Hausdorff Convergence and Topological Stability for Actions on Wasserstein Hyperspaces

Journal of Applied Sciences and Environmental Management
In this paper, we make use of topological stability from Gromov – Hausdorff view point to establish the Gromov – Hausdorff convergence and stability of induced actions on Wasserstein hyperspaces between maps.
M. A. Morawo, M. L. Danyaro, A. S. Bailey, K. Y. Azeez   +3 more
doaj  

Hausdorff measures on abstract spaces [PDF]

Transactions of the American Mathematical Society, 1966
Maurice Sion, R. C. Willmott
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Controllability of nonlinear differential evolution systems in a separable Banach space

Electronic Journal of Differential Equations, 2012
In this article, we study the controllability of semilinear evolution differential systems with nonlocal initial conditions in a separable Banach space. The results are obtained by using Hausdorff measure of noncompactness and a new calculation method.
Bheeman Radhakrishnan, Krishnan Balachandran   +1 more
doaj  

Neutral functional differential equations of second-order with infinite delays

Electronic Journal of Differential Equations, 2010
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
doaj