Nov 28, 2018Open AccessArticle
In this paper, we introduce the notion of almost pretopological vector spaces and present some examples of almost pretopological vector spaces. Almost pretopological vector spaces are defined by using regular open sets and pre-open sets. The relationships of almost pretopological vector spaces with certain other types of spaces are provided. Along with some useful results, it is proved that in
Jul 19, 2018Open AccessArticle
In this work, we recall definition of functions
called as C-class and use the
concepts of dislocated metric, b-dislocated metric, altering distance function.
We prove some coincidence, fixed and common fixed point results for two pairs
of weakly compatible mappings under-contractive conditions and contractive conditions
depended on another function T
Apr 08, 2018Open AccessArticle
The paper considers the theory of the phenomena associated with the Sun’s passage in the sky when the parameters of the orbital and rotational motion of the Earth are changing. The author found that the obliquity changes from 14.8° to 32.1°. These results explain the variations of paleoclimate and are consistent with several testimonies of paleoastronomy. The program SunPhenomn.mcd developed in MathCad to calculate the duration of
Dec 19, 2017Open AccessArticle
In this paper we
consider a mathematical model for the inverse β decay
in a uniform magnetic field. With this model we associate a Hamiltonian with
cutoffs in an appropriate Fock space. No infrared regularization is assumed.
The Hamiltonian is self-adjoint and has a unique ground state. We study the
essential spectrum and de
May 23, 2017Open AccessArticle
In this paper, we prove the existence of common
random fixed point for two random operators under general quasi contraction
condition in a complete p-normed space X (with whose dual separates the point
of X). Also, the
Jul 10, 2015Open AccessArticle
The problem of a rotating planar multilayer structure with Coulomb
interaction is formulated in the paper. The absence of solutions of the problem
is proven. Based on this problem the method of constructing planar structures
with differential rotation of the layers is developed. A number of structures
are received and their dynamics and stability are studied by numerical methods
with assistance of the system Galactica. The planar structures are unstable. Identified
ways are found to improve the ...
May 28, 2015Open AccessArticle
We discuss an alternative version of non-relativistic Newtonian mechanics
in terms of real Hilbert space mathematical framework. It is demonstrated that
the physics of this scheme is in accordance with the standard formulation.
Heisenberg-Schrodinger non-relativistic quantum mechanics is considered adequate
and complete. Since the suggested theory is dispersion free, linear superposition
principle is not violated but cannot affect results of measurements due to
spectral decomposition theorem for...
Sep 26, 2014Open AccessArticle
consideration of micro-world based on quantum mechanics has resulted in its
probabilistic understanding. At the same time the study of the micro-world
based on Coulomb interactions in some cases gives deterministic view of it.
However, at this way it is necessary to solve complex problems of many
particles interaction. The program Galactica have to be developed for the
numerical solution with high accuracy gravitational problems of many-bodies.
The paper considers a modification ...
Sep 22, 2014Open AccessArticle
The main purpose of this paper is to introduce the sequence space cesF(f, p) of sequence of
fuzzy numbers defined by a modulus function. Furthermore, some inclusion theorems
have been discussed.
Sep 19, 2014Open AccessArticle
For a w-hyponormal operator T acting on a separable complex Hilbert
space H, we prove that: 1) the quasi-nilpotent part Ho(T - λI ) is equal to...