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An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems
Barbashin-Kraso vski-LaSalle Theorem Class of Nonautonomous Systems
2015/9/29
An Extension of Barbashin-Kraso vski-LaSalle Theorem to a Class of Nonautonomous Systems.
A PROOF OF THE UNIFORMIZATION THEOREM FOR ARBITRARY PLANE DOMAINS
UNIFORMIZATION THEOREM ARBITRARY PLANE DOMAINS
2015/8/26
We present a simple constructive proof of the Uniformization Theorem which works for plane domains. The proof is a combination of covering space theory and Koebe's constructive proof of the Riemann ma...
In this paper we will give a proof of Kolmogorov’s theorem on the conservation of invariant tori. This proof is close to the one given by Bennettin, Galgani, Giorgilli and Strelcyn in [2]; we follow t...
The KAM Theorem
KAM Theorem
2015/8/26
I first heard about the KAM theorem when I was an undergraduate, around 1966. It seemed to me the most beautiful result in the world, but for many years my interests were engaged elsewhere. Around 198...
A BOOLEAN ACTION OF C(M,U(1)) WITHOUT A SPATIAL MODEL AND A RE-EXAMINATION OF THE CAMERON–MARTIN THEOREM
A BOOLEAN ACTION WITHOUT A SPATIAL MODEL RE-EXAMINATION CAMERON–MARTIN THEOREM
2015/8/17
We will demonstrate that if M is an uncountable compact metric space, then there is an action of the Polish group of all continuous functions from M to U(1) on a separable probability algebra which pr...
A Bahri-Lions Theorem and a Brezis-Nirenberg Problem Revisited
Bahri-Lions Theorem Brezis-Nirenberg
2015/4/3
A Bahri-Lions Theorem and a Brezis-Nirenberg Problem Revisited.
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems
Lambert’s theorem convex optimization minimizing solutions n-body problems
2015/3/18
Lambert’s theorem, convex optimization, and minimizing solutions of the n-body problems.
An Overpartition Analogue of Bressoud's Theorem of Rogers-Ramanujan-Gordon Type
the Rogers-Ramanujan-Gordon theorem overpartition Bressoud's theorem
2014/6/3
For k ≥ 2 and k ≥ i ≥ 1, let Bk,i(n) denote the number of partitions of n such that part 1 appears at most i-1 times, two consecutive integers l and l+1 appear at most k-1 times and if l and l+1 appea...
The Rogers-Ramanujan-Gordon Theorem for Overpartitions
overpartition the Rogers-Ramanujan-Gordon theorem the Gordon marking of an overpartition
2014/6/3
Let Bk,i(n) be the number of partitions of n with certain difference condition and let Ak,i(n) be the number of partitions of n with certain congruence condition. The Rogers-Ramanujan-Gordon theorem s...
Euler's Partition Theorem with Upper Bounds on Multiplicities
partition Euler's partition theorem Sylvester's bijection
2014/6/3
We show that the number of partitions of n with alternating sum k such that the multiplicity of each part is bounded by 2m + 1 equals the number of partitions of n with k odd parts such that the multi...
Non-compact versions of Edwards' Theorem
superlinear functionals envelopes representing measures Jensen
2011/2/22
Edwards’ Theorem establishes duality between a convex cone in the space of continuous functions on a compact space and the set of repre-senting or Jensen measures for this cone. In this paper we prove...
Central limit theorem and moderate deviations principle for dependent risks
Dependence structures opulas
2010/9/25
In the present paper, we consider the models for large dependent risk portfolios, especially for credit risk models. Furthermore, the central limit theorem and moderate deviations principle of models ...
A strong convergence theorem based on a relaxed extragradient method for generalized equilibrium problems
Nonexpansive mapping inverse-strongly monotone mapping
2010/9/21
In this paper, we introduce a new relaxed extragradient viscosity approximation method for finding the common element of the set of solutions of a generalized equilibrium problems, the set of common f...
Some fixed point theorem in polish spaces
Fixed point Random space, Polish spaces Implicit relation
2010/9/25
In this paper we prove fixed point result in generating Polish space (random space which is more general than the other spaces) with implicit relations.
A generalization of the implicit function theorem
Implicit Function Theorem convex subsets Banach spaces
2010/9/25
In this work, we generalize the classical theorem of the implicit function, for functions whose domains are open subset of Banach spaces in to a Banach space, to the case of functions whose domains ar...