Abstract of Volume
15 (3M) 2003
A
fixed point theorem for multivalued mappings
J. K. Verma
Abstract:A fixed point theorem for multivalued mapping on an
orbitally complete metric space is proved in the present paper which extends
a results of Jain & Bohre1,2.
Key words: Multivalued Map, orbitally complete metric space.
AMS mathematics subject classification (2001): 54H25,47H10
A
general solution for imbibition in double phase flow through porous media with
hypergeometrix functions
D. C. Joshi
Abstract:A general solution of the phenomenon of imbibition which
arises in the flow of two immiscible liquids through porous media due to difference
in the wetting abilities of liquids has been discussed. Here the saturation of
injected liquid in terms of the hypergeometric functions 0F1 is obtained.
Ritz
solution of the one dimensional flow in unsaturated porous media
D. C. Joshi
Abstract:The present paper discusses a general solution of the
one dimensional unsteady flow through porous media by using Ritz method. The mathematical
formulation gives a non-linear partial differential equation which is transformmed
into ordinary differential equation (ode) with the help of similarity variables.
An alternative general solution is obtained by Ritz method for ode. We have
assumed that the permeability of the medium as a specific linear function of moisture
content and time.
Exploring
the Applicability of a Relative Entropy Measure for Assessment of Dynamical Market
Prediction Utility
Sukanto Bhattacharya* and Srikrishna Samanta**
Abstract:In this paper we firstly extend the binary, stochastic
model of a generalized securities market proposed by Bhattacharya in 2001 by lifting
a restraining assumption regarding equality of diagonal elements of the market
state-transition matrix. This extension allows the model to realistically accommodate
market efficiency prediction in a time-dynamic scenario. We subsequently explore
the contextual relevance of applying a relative entropy measure as proposed by
Kleeman in 2002 to assess the utility of such market prediction.
Key words : Market efficiency, Markov state-switching models,
Von Neumann-Morgenstern games, prediction utility, relative entropy measure
The
free convective mhd flow and heat transfer through a porous medium bounded by
a moving infinite vertical porous plate with constant heat flux
S. Ahmed and N. Ahmed*
Abstract: The free convective MHD flow of a viscous, incompressible
and electrically conducting fluid through a porous medium, occupying a semi-infinite
region of the space bounded by a uniformly moving infinite vertical porous plate
with constant heat flux has been analysed. A uniform magnetic field and the suction
velocity applied normal to the plate. The equations governing the fluid flow and
heat transfer have been solved subject to the relevant boundary conditions by
perturbation technique. The expressions for the velocity profile, temperature
profile and the heat transfer have been evaluated numerically for several sets
of values of the various parameters entering into the problem and shown graphically.
A
model for knee joint articulation
P. N. Tandon, Amita Chaurasia*, Rekha Bali and
A. K. Shukla
Abstract: A two region flow model has been developed for the
better understanding of synovial joint lubrication mechanism, employing the mixture
theory of two interacting continua for the poroelastic cartilage surfaces. The
problem has been solved using the basic assumptions of lubrication theory. Introducing
the viscosity of the synovial fluids depending on local concentration of the suspended
hyaluronic acid molecules, squeeze film analysis has been considered. We conclude
that nomally loaded knee joints are capable of generating the fluid film for the
longer period of the gait cycle leading to boundary lubrication for a very short
duration. When the surface come closure the increase in concentration increases
the viscosity of synovial fluid which, in turn, increases the load carrying capacity
as well as closure time. In diseased joints, this time is small as compared to
that in normal subjects due to the decrease in H.A.M. concentration because of
biochemical reactions and/or destruction of the Molecule.
System
of n-series equations involving series of jacobi and laguerre polynomials
A. P. Dwivedi, Jyotsna Chandel and Poonam Bajpai
Abstract: The solution of n-series equations involving series
of Jacobi and Laguerre polynomials has been obtained by reducing them to simultaneous
Fredholm integral equation of the second kind. Results of similar n-series equations
involving Laguerre polynomials have also been obtained by applying a limit process.
A
common fixed point theorem for asymptotic regular mappings
A. S. SALUJA*, SMRATI ARYA** and AniL RAJPUT***
Abstract: In this paper we prove a common fixed point theorem
for three self mappings, by using the concept of asymptotic regularity at a point.
Our result generalize the results of Das and Gupta2 and Rao and Rao4. Keywords
: Fixed points, Self maps, Asymptotic regularity, etc.
SUBJECT CLASSIFICATION : Primary 47H10, Secondary 54H25.
An
extension of a class of generating functions
Ritu Goyal
Abstract:The aim of this work is to give an extension of a class
of generating functions of polynomial sets by Boas and Buck and illustrate it
with examples.
MHD
boundary layer flow past a porous wedge with variable wall temperature
Anuj Kumar Jhankal and R. N. Jat*
Abstract: The behaviour of a laminar boundary layer flow of electrically
conducting incompressible fluid past a porous wedge in the presence of a transverse
magnetic field fixed to the fluid has been studied using modified Falkner-Skan
transformation. Results for characteristics boundary layer parameters are presented
graphically.
On
the recursive sequence 
Stevo Stevi
Abstract:In this note we investigate the behaviour of solutions
of the nonlinear difference equation in the title, for A > 1.
Key words & Phrases : Recursive sequence, period two solution,
locally asymptotically stable, positive solution.
Control
of the temperature set points in oil refinery using fuzzy expert systems
S. R. Kannan
Abstract:An appropriate method to control the temperature set
point in an oil refinery is very important one to get a constant percentage of
distillation for expected time periods. The desired set point of temperature in
an oil refinery is used to ensure constant percentage of distillation for expected
time periods. Oil that comes from the ground is called the “crude oil”.
By cooking, the crude is converted into useful oil. Here, the temperature set
point plays a vital role at the time of cooking the crude oil. Since the quality
and quantity of the crude is dependent on the temperature set point, the crude
oil refinery has different temperature set points to distil different crude. Usually
the set point of temperature in oil refinery is chosen by randomly from the range
of temperature set point. But the random choice not gives a constant percentage
with good quality of distillation of expected time periods. Since control of the
temperature set point in an oil refinery is very essential one to ensure constant
percentage of distillation for expected time periods, so this paper introduces
Fuzzy Expert Systems (FES) to control temperature set point. Here the appropriate
temperature set points, percentage of distillation and time periods are considered
as parameters of fuzzy expert systems and the membership functions are defined
for the input and output parameters to ensure constant percentage of distillation
for expected time periods. Fuzzy rules are obtained using logic rules and the
desired set points of temperature are obtained.
Distortion
Properties Involving Certain Fractional Derivative Operators
K. K. Dixit and Vinay Verma
Abstract:In the present paper, we study a general class of fractional
integral operators involving the Gauss hypergeometric function. Several interesting
distortion theorems for the classes of uniformly convex functions and starlike
functions corresponding to uniformly convex functions are proved.
Unsteady
mhd flow and heat transfer along a continuous porous moving vertical porous surface
in the presence of an oscillating free stream and heat source
P.R. Sharma, Y.N. Gaur* and R.P. Sharma**
Abstract : Ohmic dissipation effect on unsteady boundary layer
flow and heat transfer of an incompressible, viscous electrically conducting fluid
along a continuous moving horizontal non-conducting porous surface in the presence
of transverse magnetic field, an oscillating free stream and volumetric rate of
heat generation (or absorption) is investigated, neglecting induced magnetic field
incomparision to the applied magnetic field. The velocity and temperature distributions
are derived, discussed numerically and shown through Figures 1 and 2, respectively.
The expressions of skin-friction coefficient and rate of heat transfer in terms
of the Nusselt number at the surface are derived, discussed numerically and their
numerical values for various values of physical parameters are presented through
Table 1 and 2, respectively.
Fixed
point theorems for self maps and condensing maps in D-metric spaces
A. S. Saluja and Anil Rajput*
Abstract : In this paper, some fixed point theorems for the self
maps of a complete D-metric space satisfying certain symmetric rational inequalities
are proved using the D- cauchy principle developed in Dhage3.
Key words : Fixed points, D-metric spaces, self - mapping etc.
Subject classification : Primary 47H10, Secondary 54H25.
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