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Error estimates for Gaussian quadratures of analytic functions
(Elsevier Science Bv, Amsterdam, 2009)
For analytic functions the remainder term of Gaussian quadrature formula and its Kronrod extension can be represented as a contour integral with a complex kernel. We study these kernels on elliptic contours with foci at ...
The contraction principle for set valued mappings on a metric space with a graph
(Pergamon-Elsevier Science Ltd, Oxford, 2010)
Let (X, d) be a metric space and F : X hooked right arrow X be a set valued mapping. We obtain sufficient conditions for the existence of a fixed point of the mapping F in the metric space X endowed with a graph G such ...
Abstract metric spaces and Sehgal-Guseman-type theorems
(Pergamon-Elsevier Science Ltd, Oxford, 2010)
Recently, Raja and Vaezpour [P. Raja and S.M. Vaezpour, Some extensions of Banach's contraction principle in complete cone metric spaces, Fixed Point Theory Appl. 2008, 11 pages, doi:10.1155/2008/768294. Article ID 768294] ...
On the instability of equilibrium of nonholonomic systems with nonhomogeneous constraints
(Pergamon-Elsevier Science Ltd, Oxford, 2010)
The first Lyapunov method, extended by V. Kozlov to nonlinear mechanical systems, is applied to the study of the instability of the equilibrium position of a mechanical system moving in the field of potential and dissipative ...
Error bounds of certain Gaussian quadrature formulae
(Elsevier Science Bv, Amsterdam, 2010)
We study the kernel of the remainder term of Gauss quadrature rules for analytic functions with respect to one class of Bernstein-Szego weight functions. The location on the elliptic contours where the modulus of the kernel ...
The effect of shielding gas composition on the toughness and crack growth parameters of AlMg4,5Mn weld metals
(Univerzitet u Beogradu - Tehnički fakultet u Boru, Beograd, 2010)
The experiment have been performed using samples of welded joints of the three components aluminium alloy AlMg4,5Mn. The welding was performed with GTAW in the shielded atmosphere of Ar+0,015N2, mixture of the inert gases ...
On nonlinear quasi-contractions on TVS-cone metric spaces
(Pergamon-Elsevier Science Ltd, Oxford, 2011)
Recently, Du [W.-S. Du, A note on cone metric fixed point theory and its equivalence, Nonlinear Anal. (2009), doi:10.1016/j.na.2009.10.026] introduced the notion of TVS-cone metric space. In this paper we present fixed ...
On the brachistochrone of a variable mass particle in general force fields
(Pergamon-Elsevier Science Ltd, Oxford, 2011)
The problem of the brachistochronic motion of a variable mass particle is considered. The particle moves through a resistant medium in the field of arbitrary active forces. Beginning from these general assumptions, and ...
Abstract metric spaces and Hardy-Rogers-type theorems
(Pergamon-Elsevier Science Ltd, Oxford, 2011)
The purpose of the present paper is to establish coincidence point theorem for two mappings and fixed point theorem for one mapping in abstract metric space which satisfy contractive conditions of Hardy-Rogers type. Our ...
Balance of liquid-phase turbulence kinetic energy equation for bubble-train flow
(Atomic Energy Soc Japan, Tokyo, 2004)
In this paper the investigation of bubble-induced turbulence using direct numerical simulation (DNS) of bubbly two-phase flow is reported. DNS computations are performed for a bubble-driven liquid motion induced by a regular ...