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Reidemeister Torsiyon ve Yönlendirilmiş Yüzeylerin Pantolon Parçalanışı
(Fen Bilimleri Enstitüsü, 2015)
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 ...
Bir Sınıf Doğrusal Olmayan Difüzyon-Reaksiyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)
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 ...
Bir Sınıf Doğrusal Olmayan Difüzyon Denklemlerinin İncelenmesi
(Fen Bilimleri Enstitüsü, 2014)
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 ...
Zayıf Disipatif Camassa-Holm Denkleminin Patlaması Olayı Üzerine
(Fen Bilimleri Enstitüsü, 2015)
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 ...
Legendre Düğümlerin Değişmezleri
(Fen Bilimleri Enstitüsü, 2014)
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 ...
Morfizmalar Yardımıyla Tanımlanan Bazı Halka ve Modül Yapıları
(Fen Bilimleri Enstitüsü, 2013)
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 ...
Universal Modules of Differantial Operators
(Fen Bilimleri Enstitüsü, 2015)
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 ...
Derivations and Automorphisms of Certain Subrings of Matrix Rings
(Fen Bilimleri Enstitüsü, 2018)
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) ...
Open Book Decompositions and Contact Surgeries
(Fen Bilimleri Enstitüsü, 2018)
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 ...
Some Families of Combinatorial Matrices and Their Algebraic Properties
(Fen Bilimleri Enstitüsü, 2018-09)
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 ...