Browsing Pure and Applied Mathematics by Title
Now showing items 3554 of 54

A Naive Finite difference Approximations for Singularly Perturbed Parabolic ReactionDiffusion problems
(20160607)In this thesis, we treated a Standard Finite Difference Scheme for a singularly perturbed parabolic reactiondiffusion equation. We proved that the Standard Finite Difference Scheme is not a robust technique for solving ...

On Jfixed points of Jpseudocontractions with applications
(20160607)Let E be a real normed space with dual space E ∗ and let A : E → 2 E be any map. Let J : E → 2 E be the normalized duality map on E. A new class of mappings, Jpseudocontractive maps, is introduced and the notion of Jfixed ...

Operator Theory and Analytic Functions
(AUST, 20190605)The theory of analytic functions plays a central role in operator theory. It has been a source of methods, examples and problems, and has led to numerous important results. Weighted shifts (which we shall see in the sequel) ...

Pricing and Modeling of Bonds and Interest Rate Derivatives
(20130527)



Quadratic forms with Applications
(20130527)The scope of Quadratic Form Theory is historically wide although it usually appears almost as an afterthought when needed to solve a variety of problems such as the classification of Hessian matrices in finite dimensional ...

Semigroups of Linear Operators and Application to Differential Equations
(20091208)This work concerns one of the most important tools to solve wellposed problems in the theory of evolution equations (e.g di usion equation, wave equations, ...) and in the theory of stochastic process, namely the semigroups ...

SingleStep Algorithm for Variational Inequality Problems in Banach Spaces
(AUST, 20210710)In this work, we propose a onestep algorithm for solving variational inequality problems in a 2uniformly con vex Banach space. Weak convergence of the scheme to a solution of variational inequality is established under ...



Sobolev Spaces, Embedding Theorems and Applications to PDEs
(20190625)

Spectral Decomposition of Compact Operators on Hilbert Spaces
(20171123)Compact operators are linear operators on Banach spaces that maps bounded set to relatively compact sets. In the case of Hilbert space H it is an extension of the concept of matrix acting on a finite dimensional vector ...

Spectral Theory of Compact Linear Operators and Applications
(20111215)This Project primarily falls into the field of Linear Functional Analysis and its Applications to Eigenvalue problems. It concerns the study of Compact Linear Operators (i.e., bounded linear operators which map the closed ...

A Strong Convergence for the sum of three Monotone Operators in a Real Banach Space
(AUST, 20210709)Let E be a real 2uniformly convex Banach space with topological dual E∗. We established strong convergence for the class of variational inclusion for the sum of three monotone operators. More over, we give a variant of ...

A Strong Convergence Theorem for Zeros of Bounded Maximal Monotone Mappings in Banach Spaces with Applications
(20160607)Let E be a uniformly convex and uniformly smooth real Banach space and E ∗ be its dual. Let A : E → 2 E be a bounded maximal monotone map. Assume that A −1 (0) 6 = ∅. A new iterative sequence is constructed which converges ...

Variational Inequality in Hilbert Spaces and their Applications
(20190623)The study of variational inequalities frequently deals with a mapping F from a vector 0 space X or a convex subset of X into its dual X . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that ...

Weak and Strong Convergence Theorems for Nonspreading type Mapping in a Hilbert Spaces
(20171218)The work of Osilike and Isiogugu, Nonlinear Analysis, 74 (2011), 18141822 on weak and strong convergence theorems for a new class of kstrictly pseudononspreading mappings in real Hilbert spaces is reviewed. We studied ...

Why Classical Finite difference Approximations fail for a singularly perturbed System of ConvectionDiffusion Equations
(20160607)We consider classical Finite Difference Scheme for a system of singularly perturbed convectiondiffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...

Why Classical Finite difference Approximations fail for a singularly perturbed System of ConvectionDiffusion Equations
(20160607)We consider classical Finite Difference Scheme for a system of singularly perturbed convectiondiffusion equations coupled in their reactive terms, we prove that the classical SFD scheme is not a robust technique for solving ...