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Strong approximation of almost periodic functions
Almost periodic functions Rate of strong approxima-tion Summability of Fourier series
2012/4/16
We consider summability methods generated by the class GM(2b). We generalize some related results of P. Pych-Taberska [Studia Math. XCVI (1990), 91-103] on strong approximation of almost periodic func...
On some Leindler's theorem on application of the class NMCS
Rate of approximation summability of Fourier series Classical Analysis and ODEs
2012/4/16
We show the results in the class GM(5b) corresponding to the theorem of L. Leindler [A note on strong approximation of Fourier series, Analysis Mathematica, 29(2003), 195--199] on strong approximation...
Pointwise strong approximation of almost periodic functions
Almost periodic functions Rate of strong approximation Summability of Fourier series
2012/4/16
We consider the class GM(2b) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.
Elements of Polya-Schur theory in finite difference setting
Elements Polya-Schur theory finite difference setting Classical Analysis and ODEs
2012/4/16
In this note we attempt to develop an analog of P\'olya-Schur theory describing the class of univariate hyperbolicity preservers in the setting of linear finite difference operators. We study the clas...
Meromorphic traveling wave solutions of the complex cubic-quintic Ginzburg-Landau equation
Elliptic solutions complex quintic Ginzburg-Landau equation Classical Analysis and ODEs
2012/4/16
We look for singlevalued solutions of the squared modulus M of the traveling wave reduction of the complex cubic-quintic Ginzburg-Landau equation. Using Clunie's lemma, we first prove that any meromor...
Bilinear decompositions for the product space $H^1_L\times BMO_L$
Schrodinger operator Hardy-Orlicz space bilinear operator BMO
2012/4/16
In this paper, we improve a recent result by Li and Peng on products of functions in $H_L^1(\bR^d)$ and $BMO_L(\bR^d)$, where $L=-\Delta+V$ is a Schr\"odinger operator with $V$ satisfying an appropria...
Typically, models with a heterogeneous property are considerably harder to analyze than the corresponding homogeneous models, in which the heterogeneous property is replaced with its average value. In...
Interval matrix differential equations
matrix differential equation interval matrix exponential of an interval matrix continuous time imprecise Markov chain
2012/4/18
The matrix differential equation $x'(t) = Q(t)x(t), x(0) = x_0$ is considered in the case where $Q(t)$ is an unspecified matrix function of time, with the only constraint that $Q(t)\in \mset$ for ever...
Hermite-Hadamard's inequalities for preinvex functions via fractional integrals and related fractional inequalities
Hermite-Hadamard inequalities invex set preinvex function fractional integral
2012/4/17
In this paper, first we have established Hermite- Hadamard's inequalities for preinvex functions via fractional integrals. Second we extend some estimates of the right side of a Hermite- Hadamard type...
Point classification of the second order ODE's by Ruslan Sharipov and its application to Painleve equations
Point classification the second order ODE's Ruslan Sharipov Painleve equations
2012/4/17
This is an review on the point classification of second order ODE's by Ruslan Sharipov. His works were published in 1997-1998 at the Electronic Archive at LANL and undeservedly forgotten. Last chapter...
A note on the R. Fuchs's problem for the Painleve equations
Painleve equations Isomonodromic deformation Ordinary differential equations
2012/4/17
In this article we consider a first-order completely integrable system of partial differential equations $\partial \Fi/partial x=A(x, t) \Fi, \partial \Fi/partial t=B(x, t) \Fi$ with $\Fi=(\fi_1, \fi_...
Notes on area operator, geometric 2-rough paths and Young integral when p^-1+q^-1=1
Notes area operator geometric 2-rough paths Young integral
2012/4/17
1.When equipped with 2-rough norm and restricted to continuous paths with bounded variation, the area operator is a closable unbounded operator. 2.The area defined through Riemann-Stieltjes integral i...
On computing the generalized Lambert series
computing generalized Lambert series Theta convergence ODEs
2012/3/1
We show how the generalized Lambert series sum(n>=1, x*q^n/(1-x*q^n)) can be computed with Theta convergence. This allows the computation of the sum of the inverse Fibonacci numbers without splitting ...
建立了具有可积参数的一维倒向随机微分方程~(BSDE)~解的一个存在唯一性结果, 其中生成元~$g$~关于~$y$~单调且关于~$z$~是~$\alpha-$H\"{o}lder($0<\alpha<1$)~连续的. 利用~Tanaka~公式及~Girsanov~变换建立~BSDE~的~$L^1$~解的一个比较定理, 从而得到解的唯一性. 使用卷积技术给出生成元~$g$~的一个一致逼近序列并借助于...