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2k阶一般型常微分方程解的存在性
高阶微分方程 同胚 不动点定理
2012/11/6
利用同胚延拓方法和Schauder不动点定理,研究了一类一般2k型阶常微分方程组,得出了其解的存在性定理.
Comparison principles for integro-differential equations with L{é}vy operators - the case of spacial depending jumps -
Integro-differential equation L´ evy-Ito Operator Compari-son principle
2011/1/21
A comparison principle for the integro-differential equation with the L´evy operator corresponding to the spacial depending jump process is presented in this paper. The jump (x, z) at a point x...
Generalized cosmological term from Maxwell symmetries
Generalized cosmological term Maxwell symmetries
2011/3/3
By gauging the Maxwell spacetime algebra we extend the standard geometric framework of Ein-
stein gravity by the addition of six fourvector fields Aab μ (x) associated with the six abelian tensorial ...
Integrability and chaos: the classical uncertainty
Integrability and chaos classical uncertainty
2010/12/28
In recent years there has been a considerable increase in the publishing of textbooks and mono-
graphs covering what was formerly known as random or irregular deterministic motion, now named
by the ...
Tiling-Recognizable Two-Dimensional Languages: From Non-Determinism to Determinism through Unambiguity
automata and formal Languages two-dimensional languages
2010/12/28
Tiling recognizable two-dimensional languages, also known as REC,generalize recognizable string languages to two dimensions and share with them several theoretical properties. Nevertheless REC is not ...
Unnecessary Exact Solutions of Nonlinear Ordinary Differential Equations
Unnecessary Exact Solutions Nonlinear Ordinary Differential Equations
2010/11/10
We analyze the paper by Wazwaz and Mehanna [Wazwaz A.M., Mehanna M.S., A variety of exact travelling wave solutions for the (2+1) -- dimensional Boiti -- Leon -- Pempinelli equation, Appl. Math. Comp....
Orientability and energy minimization in liquid crystal models
Orientability energy minimization liquid crystal models
2010/12/6
Uniaxial nematic liquid crystals are modelled in the Oseen-Frank theory through a unit vector field n. This theory has the apparent drawback that it does not respect the head-to-tail symmetry in which...
Fixed points of the smoothing transform: Two-sided solutions
Branching random walk characteristic function general branching processes
2010/12/6
Given a sequence (C, T) = (C, T1, T2, . . .) of real-valued random variables with Tj ≥ 0 for all j ≥ 1 and almost surely finite N = sup{j ≥1 : Tj > 0}, the smoothing transform associated with (C, T), ...
Uncertainty relations give upper bounds on the accuracy by which the outcomes of two incompatible measurements can be predicted. While the established uncertainty relations apply to cases where the pr...
Finiteness Theorems for Deformations of Complexes
Versal and universal deformations derived categories finiteness questions
2010/12/3
We consider deformations of bounded complexes of modules for a profinite group G over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for th...
Factorization of the Shoenfield-like bounded functional interpretation
Factorization Shoenfield-like bounded functional interpretation
2010/12/3
We adapt Streicher and Kohlenbach’s proof of the factorization S = KD of the Shoenfield translation S in terms of Krivine’s negative translation K and the G¨odel functional interpretation D, obtaining...
The McKay conjecture and Brauer's induction theorem
McKay conjecture Brauer's induction theorem
2010/12/1
Let G be an arbitrary finite group. The McKay conjecture asserts that G and the normaliser
NG(P) of a Sylow p-subgroup P in G have the same number of characters of degree not divisible
by p (that is...
On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole
Generalized Monopole Spherical Harmonics Wave Equation of a Charged Massive Kerr Black Hole
2010/11/30
We find linearly independent solutions of the Goncharov-Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical mono...
Matchings, coverings, and Castelnuovo-Mumford regularity
Matchings coverings Castelnuovo-Mumford regularity
2010/12/6
We show how co-chordal covers of the edges of a graph give upper bounds on the Castelnuovo-Mumford regularity of its edge ideal. The proof is by an easy application of a deep result of
Kalai and Mesh...
On sets of directions and angles determined by subsets of ${\Bbb R}^d$
directions and angles determined ${\Bbb R}^d$
2010/12/9
Given E Rd, d 2, de ne D(E) n xy jxyj : x; y 2 E o Sd1; the set of directions
determined by E. We prove that if the Hausdor dimension of E is greater than d
...