Results 11 to 20 of about 3,484,215 (187)
Given a Tonelli Hamiltonian H:T*M → ℝ of class Ck, with k ≥ 2, we prove the following results: (1) Assume there exist a recurrent point of the projected Aubry set and a critical viscosity subsolution u such that u is a C1 critical solution in an open neighborhood of the positive orbit of . Suppose further that u is “C2 at ”.
Figalli, Alessio, Rifford, Ludovic
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Graphs of commutatively closed sets [PDF]
The present work aims to exploit the interplay between the algebraic properties of rings and the graph-theoretic structures of their associated graphs. We introduce commutatively closed graphs and investigate properties of commutatively closed subsets of a ring with the help of graph theory. A particular attention is paid to constructions of subsets of
Leroy, André, Abdi, Mona
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Closed neutrosophic dominating set in neutrosophic graphs [PDF]
The aim of this article is to concentrate on the notion of closed neutrosophic domination (CND) number 𝛾𝑐𝑙 (𝐺) of a neutrosophic graph (NG) with using effective edge, furthermore we gain a few outcomes on this notion, the relation between 𝛾𝑐𝑙 (𝐺) and ...
Amir Majeed Nabeel Arif
doaj +1 more source
Minimal closed sets and maximal closed sets
Some properties of minimal closed sets and maximal closed sets are obtained, which are dual concepts of maximal open sets and minimal open sets, respectively. Common properties of minimal closed sets and minimal open sets are clarified; similarly, common properties of maximal closed sets and maximal open sets are obtained.
Fumie Nakaoka, Nobuyuki Oda
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Finding subsets of positive measure [PDF]
An important theorem of geometric measure theory (first proved by Besicovitch and Davies for Euclidean space) says that every analytic set of non-zero $s$-dimensional Hausdorff measure $\mathcal H^s$ contains a closed subset of non-zero (and indeed ...
Kjos-Hanssen, Bjørn, Reimann, Jan
core +1 more source
On some problems of instability in semi-dynamical systems
The problem of instability of a closed positively invariant set M of a semi-dynamical system on an arbitrary metric space X is considered. The Lyapunov’s direct method for such problems has been developed quite completely in the case when M is compact ...
Boris S. Kalitine
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Generalized h-Closed Sets in Topological Space [PDF]
This study introduce a new type of closed sets in topology called Generalized h-closed sets (briefly, gh-closed) define as follow: E ⊆ χ be gh-closed set if CLh (E)⊆ U whenever E ⊆ U and U is open set in (&chi ...
Beyda S. Abdullah
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Subtraction Menger algebras [PDF]
characterizations of Menger algebras of partial $n$-place functions defined on a set $A$ and closed under the set-theoretic difference functions treatment as subsets of the Cartesian product $A^{n+1}$ are ...
B.M. Schein +12 more
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Some new results on $\star$-metric spaces
The concept of $\star$-metric, based on the relaxation of triangle inequality of metric axioms by using a t-definer, was introduced by Khatami and Mirzavaziri.
Tarapada Bag, Abhishikta Das
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Topological Mappings Based on SPG*-Closed Set
In this paper, we introduce the concept of SPG*-closed mapping and continuous mapping among which SPG-closed mappings, SPG*-closed mappings and SPG**-closed mappings and the relationship between them, and also SPG-continuous mappings, SPG*-continuous ...
Prof. Dr. Ali khalaf hussain +1 more
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