In this thesis, we consider pants decomposition of orientable Riemann surfaces. First, using the notion symplectic chain complex, we prove a new formula Reidemeister torsion of a pair of pants. By using this, we establish ...

In this dissertation, the study of long-time behavior and solvability of the reaction-diffusion equation, which has a polynomial growth nonlinearity of arbitrary order, with Robin boundary condition on the bounded domain ...

This work is devoted to the existence and uniqueness of the solution of 3. typeinitial-boundary value problem for nonlinear diffusion type equation and also devotedto the behavior of solution. In the first chapter, our ...

This study is devoted to the blow up solutions of the Cauchy problem for the weakly dissipative Camassa-Holm equation. In introductory chapter, the problem we studied has been introduced and other authors' studies done on ...

A knot that is everywhere tangent to the contact planes is called a Legendrian knot. There are two types of Legendrian knots in overtwisted contact 3-manifolds: Loose and non-loose Legendrian knots. In the thesis, we study ...

Let M ve N be R-modules. Recent works have shown that some structures of the ring and module theory can be carried out in the context of Hom(M,N), the abelian group of all morphisms of M into N. The aim of this thesis is ...

This thesis is concerned with universal differential operator modules of order n. Let R be a commutative k-algebra where k is an algebraically closed field of characteristic zero. Let m and n be positive integers such that ...

Let K be an arbitrary associative ring with identity. We denote by Mn(K) the ring of all nxn matrices over K. Say K=F for some field F. Then it is a consequence of Skolem-Noether theorem that every automorphism of Mn(F) ...

By Alexander it was shown that an open book decomposition can be found for each closed, oriented 3-manifold. In this thesis, the importance of open book decompositions in terms of contact 3-manifolds will be studied by ...

In this thesis, we will study some properties of certain families of combinatorial matrices. While some of the families will be examined throughout this thesis are new and firstly investigated, the others are the generalizations ...