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 ...

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, ...

Let f : C ---- C = C U {00} be a non-constant transcendendental entrie or meromorphic function. The function f Xn ,the n-times composition of f is called the n-th it-crate of f . The Fatou set of the function f, ....

We develop a new framework to obtain computable formulas for s tructured eigenvalue backward errors of matrix polynomials with various structures under some prespec undertake a detailed analysis of structured when the ...

The primary aim of this thesis is to develop a framework for direct methods for solutions of rational eigenvalue problems. To achieve this goal, we propose to reformulate the problem of solving a rational eigenvalue problem ...

The aim of this thesis is to study a priori and a posteriori error analysis of nite element methods for elliptic and parabolic optimal control problems with measure data in a bounded convex domain in Rd(d = 2 or 3). The ...