The primary goal of the thesis is to study class number of the ring of integers of a number field and related arithmetical properties. The first part of the thesis provides a solution to a classical problem posed by ...
The thesis aims at studying various structural properties of affine near-semirings over Brandt semigroups. The study considers various aspects, viz. semigroup theoretic properties, ring theoretic properties and formal ...
Motivated by the applications in facility location, VLSI design, image processing and motion planning, geometric covering problems have been studied extensively in the literature. In this thesis various geometric covering ...
In this thesis, our primary interest is to provide some uniformly convergent computational techniques for solving singularly perturbed system of parabolic initial-boundary-value problems (IBVPs) of convection-diffusion and ...
This thesis presents the derivation of general analytical solutions of the transient stor- age model and also of the diDusive transfer model for the longitudinal solute transport in streams with transient storage and ...
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. ...
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, ...
Coverage is one of the most important issues in wireless sensor networks (WSNs) and it is a well studied research area. To ensure coverage, a set of sensors continuously monitor the subject to be covered. Sweep coverage ...
This thesis studies arithmetic properties of `-regular overpartitions, Andrews' singular overpartitions, overpartitions into odd parts, cubic and overcubic partition pairs, and Andrews' integer partitions with even parts ...
The main theme of the thesis is structured perturbation and sensitivity analysis of structured polynomial eigenvalue problem. Structured mapping problem naturally arises when analyzing structured backward per- turbation ...
This thesis aims at filling some conspicuous gaps in the study of spectra of unicyclic graphs, and answering some recent questions on relations between the structure of a unicyclic graph and the spectrum of its adjacency matrix...
The work is mainly concerned with the development of compact finite difference formulations for the biharmonic equation in irregular geometries. We specifically focus our attention towards the computation of solutions of ...
The power graph of a group G is the graph whose vertex set is G and two distinct vertices are adjacent if one is a power of the other. In this thesis, a study on connectedness, structural and spectral properties of power ...
A standard paradigm in the expansion of knowledge is to describe nearby familiar objects of a new object. Density results in topology may be viewed as tting into this paradigm. Another such paradigm is to give relations ...
In this thesis, a mathematical model for HCV dynamics incorporating various aspects such as virus-to-cell as well as cell-to-cell transmission and non-cytolytic cure rate with the role of B cells in the activation of the ...
The main objective of this thesis is to investigate the wave forces and hydrodynamic coefficients of two coaxial cylindrical structures in water of finite depth within the framework of linear water wave theory. We consider ...
Definite and definitizable pencils and hyperbolic, quasihyperbolic and definite polynomi- als are Hermitian matrix polynomials with real eigenvalues of definite type that arise in many applications in science and engineering. ...
This thesis investigates several models for hepatitis B virus (HBV) infection including the incorporation of the dynamics of intracellular HBV DNA-containing capsids. Firstly, we analyze a model for infected hepatocytes, ...