English
Afrikaans
Albanian
Amharic
Arabic
Armenian
Azerbaijani
Basque
Belarusian
Bengali
Bosnian
Bulgarian
Catalan
Cebuano
Chichewa
Chinese (Simplified)
Chinese (Traditional)
Corsican
Croatian
Czech
Danish
Dutch
Esperanto
Estonian
Filipino
Finnish
French
Frisian
Galician
Georgian
German
Greek
Gujarati
Haitian Creole
Hausa
Hawaiian
Hebrew
Hindi
Hmong
Hungarian
Icelandic
Igbo
Indonesian
Irish
Italian
Japanese
Javanese
Kannada
Kazakh
Khmer
Korean
Kurdish (Kurmanji)
Kyrgyz
Lao
Latin
Latvian
Lithuanian
Luxembourgish
Macedonian
Malagasy
Malay
Malayalam
Maltese
Maori
Marathi
Mongolian
Myanmar (Burmese)
Nepali
Norwegian
Pashto
Persian
Polish
Portuguese
Punjabi
Romanian
Russian
Samoan
Scottish Gaelic
Serbian
Sesotho
Shona
Sindhi
Sinhala
Slovak
Slovenian
Somali
Spanish
Sudanese
Swahili
Swedish
Tajik
Tamil
Telugu
Thai
Turkish
Ukrainian
Urdu
Uzbek
Vietnamese
Welsh
Xhosa
Yiddish
Yoruba
ZuluPURE AND APPLIED MATHEMATICS PROJECT TOPICS
LaSalle Invariance Principle for Ordinary Differential Equations and Applications
LaSalle Invariance Principle for Ordinary Differential Equations and Applications. ABSTRACT The most popular method for studying stability of nonlinear systems is introduced by a Russian Mathematician named Alexander Mikhailovich Lyapunov. His work ”The General Problem of Motion Stability ” published in 1892 includes two methods: Linearization Method, and Direct Method. His work was then introduced […]
A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces
A Modified Subgradient Extragradeint Method for Variational Inequality Problems and Fixed Point Problems in Real Banach Spaces. ABSTRACT Let E be a 2-uniformly convex and uniformly smooth real Banach space with dual space E ∗. Let A: C → E ∗ be a monotone and Lipschitz continuous mapping and U: C → C be relatively nonexpansive. An algorithm for approximating the common […]
Foundation of Stochastic Modeling and Applications
Foundation of Stochastic Modeling and Applications. ABSTRACT This thesis presents an overview on the theory of stopping times, martingales and Brownian motion which are the foundations of stochastic modeling. We started with a detailed study of dis- crete stopping times and their properties. Next, we reviewed the theory of martingales and saw an application to […]
Sobolev Spaces and Variational Method Applied to Elliptic Partial Differential Equations
Sobolev Spaces and Variational Method Applied to Elliptic Partial Differential Equations. INTRODUCTION Variational methods have proved to be very important in the study of optimal shape, time, velocity, volume or energy. Laws existing in mechanics, physics, astronomy, economics and other fields of natural sciences and engineering obey variational principles. The main objective of variational method […]
Integration in Lattice Spaces
Integration in Lattice Spaces. ABSTRACT The goal of this thesis is to extend the notion of integration with respect to a measure to Lattice spaces. To do so the paper is first summarizing the notion of integration with respect to a measure on R. Then, a construction of an integral on Banach spaces called the […]
Monotone Operators and Applications
Monotone Operators and Applications. PREFACE This project is mainly focused on the theory of Monotone (increasing) Operators and its applications. Monotone operators play an important role in many branches of Mathematics such as Convex Analysis, Optimization Theory, Evolution Equations Theory, Variational Methods and Variational Inequalities. Basic examples of monotone operators are positive semi-definite matrices A […]
Variational Inequality in Hilbert Spaces and their Applications
Variational Inequality in Hilbert Spaces and their Applications. ABSTRACT The study of variational inequalities frequently deals with a mapping F from a vector space X or a convex subset of X into its dual Xj . Let H be a real Hilbert space and a(u, v) be a real bilinear form on H. Assume that the […]
A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem
A Hybrid Algorithm for Approximating a Common Element of Solutions of a Variational Inequality Problem and a Convex Feasibility Problem. ABSTRACT In this thesis, a hybrid extragradient-like iteration algorithm for approximating a common element of the set of solutions of a variational inequality problem for a monotone. k–Lipschitz map and common fixed points of a […]
Maximal Monotone Operators on Hilbert Spaces
Maximal Monotone Operators on Hilbert Spaces. ABSTRACT Let H be a real Hilbert space and A: D(A) ⊂ H → H be an unbounded, linear, self-adjoint, and maximal monotone operator. The aim of this thesis is to solve u 0 (t) + Au(t) = 0, when A is linear but not bounded. The classical theory of differential […]
A Naive Finite Difference Approximations for Singularly Perturbed Parabolic Reaction-Diffusion Problems
A Naive Finite Difference Approximations for Singularly Perturbed Parabolic Reaction-Diffusion Problems. ABSTRACT A naive finite difference approximations for singularly perturbed parabolic reaction-diffusion problems In this thesis, we treated a Standard Finite Difference Scheme for a singularly perturbed parabolic reaction-diffusion equation. We proved that the Standard Finite Difference Scheme is not a robust technique for solving […]