A certain representation for the Heisenberg algebra in finitedifference operators is established. The Lie-algebraic procedure of discretization of differential equations with isospectral property is proposed. Using sl2-algebra based approach, (quasi)-exactlysolvable finite-difference equations are described. It is shown that the operators having the Hahn, Charlier and Meixner polynomials as the...

We strengthen the revised GCH theorem by showing, e.g., that for λ = cf(λ) > iω, for all but finitely many regular κ < iω, it holds that “λ is accessible on cofinality κ” in some weak sense (see below). As a corollary, λ = 2 = μ > iω implies that the diamond holds on λ when restricted to cofinality κ for all but finitely many κ ∈ Reg∩iω. We strengthen previous results on the black box and the m...

A new series of Ba-Co-O perovskite-type oxygen carriers has been successfully synthesized by the microwave-assisted sol-gel method and further applied for producing an O2/CO2 mixture gas. The oxygen adsorption/desorption performance of synthesized samples was studied in a fixed-bed reactor system. Effects of A/B-site substitution on the oxygen desorption performance of Ba-Co-O–based perovskites...

and Applied Analysis 3 In the last section of this paper,we study the system 1.2 . Again, we introduce a notion of solution-tube of 1.2 which generalizes the notion of lower and upper solutions used by Atici et al. 8 . This notion generalizes also condition 1.5 and the notion of solution-tube of systems of second-order differential equations introduced in 10 . In addition, we assume that f sati...

INTRODUCTION Patients with chronic liver diseases are usually thin as a result of hypermetabolism and malnutrition expressed by reduced levels of leptin and impairment of other adyponectins such as visfatin. AIMS We evaluated the metabolic and inflammatory effects of intravenous high-dose furosemide plus hypertonic saline solutions (HSS) compared with repeated paracentesis and a standard oral...

A natural question to ask is whether this result has an analogue in the context of large cardinals. The purpose of this article is to provide the strongest such analogue not ruled out by limitations imposed by the existence of Woodin cardinals. To describe the latter limitations we consider the forcing P , described as follows. Let δ be inaccessible and consider the language L(δ): (a) n ∈ R bel...

Several existence theorems of positive solutions are established for nonlinear m-point boundary value problem for the following dynamic equations on time scales φu Δ ∇ atft, ut 0, t ∈ 0, T, φu Δ 0 m−2 i1 a i φu Δ ξ i , uT m−2 i1 b i uξ i , where φ : R→R is an increasing homeomorphism and homomorphism and φ0 0. As an application, an example to demonstrate our results is given.

k x[k]δ[n − k] : convolution of x[n] and δ[n] = · · · + x[−2]δ[n + 2] + x[−1]δ[n + 1] + x[0]δ[n] + x[1]δ[n − 1] + · · · : any sequence can be decomposed as a sum of scaled and shifted impulses. (a) Scale (by x[k]) and shift (from δ[n] to δ[n− k]) imply linearity and time-invariance, respectively. (b) Envision x[n] : {..., x[−1], x[0], x[1], ...} as a signal vector, and δ[n − k] : {..., 0, δ[n −...

Abstract: The aim of this paper is to introduce and study a new class [ ] * C A,B, δ α of Janowski QuasiConvex univalent functions of order alpha associated with Ruscheweyh derivative. Sharp coefficient bound, distortion result and some inclusion results are discussed. Invariance of [ ] * C A,B, δ α under convolution with convex functions has also been examined and some of its applications are ...

We consider the problem of estimating mean vector θ a d-dimensional spherically symmetric distributed X based on balanced loss functions forms: (i) ωρ(‖δ−δ0‖2)+(1−ω)ρ(‖δ−θ‖2) and (ii) ℓω‖δ−δ0‖2+(1−ω)‖δ−θ‖2, where δ0 is target estimator, ρ ℓ are increasing concave functions. For d≥4 estimator δ0(X)=X, we provide Baranchik-type estimators that dominate δ0(X)=X minimax. The findings represent exte...