This thesis is about the interplay between permutation groups and some relational structures. Special emphasis is on a class of permutation groups called Jordan groups i which, in some non-degenerated way, the pointwise ...
In the thesis, we study some non-local and nonlinear elliptic equations involving variable order and variable exponents. For studying these problems, we introduce the variable order fractional Sobolev spaces with variable ...
The research reported in this thesis deals with the analysis of a number of differential
equations of fractional order, viz., Cauchy type non-autonomous fractional differential
equation, Volterra-Fredholm integro fractional ...
In this thesis, the spherical mean of the metivier group is considered and we characterize the spherical harmonic coefficients of certain functions in terms of polynomial growth by which we infer a support theorem. ...
The objective of this thesis is to provide higher order convergence of weak Galerkin finite
element solutions to the exact solutions of some time dependent partial differential equations with Lipschitz continuous interfaces. ...
This thesis studies arithmetic properties of certain partition functions, namely mex-related partition functions, Andrews’ singular overpartitions, t-regular partitions and 3-regular color partitions. Firstly, we study the ...
The main objective of this thesis is to derive a posteriori error estimates for nite element
discretizations of optimal control problems governed by parabolic partial di erential equations. Both distributed and boundary ...
A positive integer n is called a congruent number if it is equal to the area of a right
triangle with rational sides. Determining whether a given positive number is congruent
or not is known as the congruent number ...
In this thesis, we use LPM as a measure of risk and then develop the theoretical framework of portfolio management with LPM. We present various properties of LPM and discuss their practical importance in the area of ...
This thesis provides efficient numerical methods for solving singular perturbation problems (SPPs) of convection-diffusion and reaction-diffusion types with boundary layers. A differential equation is called singularly ...
This thesis attempts to contribute to the understanding of the mechanism behind the interaction of water waves with an elastic bottom topography, an ice-sheet and some porous structures, the importance of which has been ...
Porous structures reduce the waveload and wave run-up on coastal structures. These structures are very flexible, reusanle and can be develop low cost wave attenuation ADN protection systems. By applying boundary conditions, ...
A real square matrix A is said to be algebraically positive if there exists a real polynomial f such that f (A) is a positive matrix. We prove that, a real square matrix is algebraically positive if and only if it commutes ...
In this thesis, we study certain properties of the eigenfunctions of the Laplacian and their application in harmonic analysis on homogeneous trees. The topics we study in the thesis are the following:
First we characterize ...
In general, the uncertainty principle states that a non-zero function and its Fourier transform cannot both be sharply localized. And depending on different localization assumptions, various types of results related to the ...
Dominating set and its variants have been studied extensively in the literature and are of broad and current research interest to many researchers due to its wide range of applications, including, but not limited to, ...
The main objective of this thesis is to study a priori error analysis of finite element Galerkin methods for some interface problems arising in biological media. Interface problems are often referred to as differential ...
In this thesis we study classical hypergeometric series and Appell series over finite fields, and find finite field analogues of several product and summation formulas satisfied by the classical hypergeometric series. ...
The central theme of this thesis is to study the moments of certain exponential sums,
which we primarily capture by some asymptotic formulas. Our results are conceptual advancements to previously known methods and results ...
In the Ph.D thesis, we investigated the dynamics of some one-parameter and two-parameter family of transcendental functions.In Chapter 2, for b 1, the dynamics of function in the two-parameter family , { ( ) z z for : , ...