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 Bochner integral is introduced and the main focus which is integration on lattice spaces is lastly addressed.
Abstract This paper investigates the task of scheduling jobs across several servers in a software system similar to the Enterprise Desktop Grid. One of the features of this system is that it has a specific area of action – collects outbound hyperlinks for a given set of websites. The target set is scanned continuously (and regularly) at certain time intervals. Data obtained from previous scans are used to construct the next scanning task for the purpose of enhancing efficiency (shortening ...
ABSTRACT The work of Osilike and Isiogugu, Nonlinear Analysis, 74 (2011), 1814-1822 on weak and strong convergence theorems for a new class of k-strictly pseudononspreading mappings in real Hilbert spaces is reviewed. We studied in detail this new class of mappings which is more general than the class of nonspreading mappings studied by Kurokawa and Takahashi, Nonlinear Analysis 73 (2010) 1562-1568. Many incisive examples establishing the relationship of the class of k-strictly pseudononspre...
Abstract Stochastic calculus has been applied to the problems of pricing financial derivatives since 1973 when Black and Scholes published their famous paper ”The pricing of options and corporate liabilities” in the journal of political economy. In this work, we introduce basic concepts of probability theory which gives a better understanding in the study of stochastic processes, such as Markov process, Martingale and Brownian motion. We then construct the Itˆo’s integral under stocha...
ABSTRACT The asset price returns are multi-period (that is multi-fractal dimensional) market depending on market scenarios which are the measure points. In this research work, a number of continuous time stochastic models were formulated, for the measurement of random behaviour of equity returns, using multi-fractal measures which examine power law behaviours at different time scales. Fractal exponent was first derived followed by a seemingly Black-Scholes parabolic equation. The solution to...
INTRODUCTION The foreign policy of a nation is a reflection of its national demands, needs and aspirations. Much as there is a relationship between a state national interest and those foreign to it. The study is aimed at examining the foreign policy of Nigeria and its national interest under President Goodluck Ebele Jonathan. Foreign and national policy issues are related products of the same political system and are designed to define and implement overall national purposes. Foreign and nati...
ABSTRACT The subgradient extragradient method is considered an improvement of the extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of Hilbert spaces. In this Thesis, we proposed an improved subgradient extragradient method for variational inequality problem for the class of monotone and Lipschitz continuous mappings in the setting of real Banach spaces.
ABSTRACT The major goal of this research work is to determine the dynamic buckling load of a viscously damped imperfect quadratic-cubic elastic model structure, which is modeled by a nonlinear differential equation containing a load parameter. For a structure with small imperfections and subjected to step loading , the equation contains two small independent parameters, upon which asymptotic expansions are initiated. The nonlinearity is quadratic-cubic in nature and multiple-scaling two-timi...
CHAPTER ONE INTRODUCTION 1.1 BACKGROUND OF THE STUDY Linear Programming is a subset of Mathematical Programming that is concerned with efficient allocation of limited resources to known activities with the objective of meeting a desired goal of maximization or minimization of a function. Linear Programming determines the way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model, given some list of requirements as linear equations. Linear Progra...
ABSTRACT Finite deformation of Elastic rotating solid spheres of blatz-ko material are studied in this research work. The analysis resulted into non-linear boundary value problem governed by non-linear partial differential equations for the displacements. An asymptotic method of solution is employed for the solution of equations. The method assumes a trial solution for the displacements in a particular space. Here, the Sobolev space of order two is used. The resulting error is minimized in...