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Almost Oscillation Criteria for Second Order Neutral Difference Equations
Get PDFIn this paper, we consider the second order neutral difference equation of the form ∆ (an(∆zn) α ) + qnx β n−σ = en, n ≥ n0, where zn = xn + pnxn−τ and α > 0, β > 0 are the ratios of odd positive integers. Examples are provided to illustrate the results
Inclusion and Exclusion probability
Get PDFWe use mathematical induction method to prove the Poincare Formula. To demonstrate the usefulness of this formula, we provide five examples. This formula is related to a broad class of counting problems in which several interacting properties either all must hold, or none must hold. When there are only two or three events that need to be counted, we usually use a Venn diagram. In section 4, we present a general mathematical formula to count any finite number of inclusion and exclusion events. This leads to an easy way to apply the Poincare Formula to define the probability
Predictions of energy profile of four states in USA
Get PDFIn this paper, we calculate the value of the residual energy in 2001-2009 in four states by establishing Grey Prediction Model. We use MATLAB software programming to predict the energy profile of each state for 2025 and 2050 in the absence of any policy changes
From Narrative to Definition. Methodical-Constructive Language Building and Violence Prevention
Get PDFThe paper is an answer to communication problems in a Grundtvig project, carried out as an EU study in five countries. The project aimed at producing new knowledge and at disseminating best practices from country to country to prevent violence against women. In this approach storytelling seeks women to diminish violence through communication on experienced violence. The article describes the development on how to create a strategical communication in which the participants can proceed from experienced violence to a definition of violence. The method is analytically outlined. Storytelling opens the possibility to transform singularities into general terms, so that strategies can be embarked.
Juvenile Gang Delinquency and Its Origin: Multifaceted Approach
Get PDFMany Social factors are frequently used to explain juvenile delinquency and the emergence and persistence of juvenile gangs. Sociological theories, such as social control, containment, differential association, anomie, and labeling reflect different levels of predictive utility relative to delinquent conduct and are invoked to account for juvenile offending behavior. A survey of literature discloses that it is necessary to employ various sociological factors simultaneously to gain a better understanding of the cause of juvenile gang delinquency. Based on the findings of this research with the meticulous statistical analysis, thus, it is suggested that using a strategy from several theoretical explanations simultaneously to account for delinquent conduct and gang formation has greater predictive utility as opposed to using single-theoretical explanations
Stability and Asymptotic Behavior of the Causal Operator Dynamical Systems Using Nonlinear Variation of Parameters
Get PDFThe operator T from a domain D into the space of measurable functions is called a nonanticipating operator if the past informations is independent from the future outputs. We will use the solution to the operator di§erential equation y0(t) = A(t)y(t)+f(t; y(t); T(y)(t)) to analyze the solution of this operator di§erential equation which is generated by a perturbation (t) = g(t; yt ; T2(yt)). When this perturbation is from a measurable space then the existence and uniqueness of the solution to the operator di§erential equation will be studied. Finally, we use the nonlinear variation of parameters for nonanticipating operator di§erential equations to study the stability and asymptotic behavior of the equilibrium solution
On Approximation Properties of Multivariate Class of Nonlinear Singular Integral Operators
Get PDFIn the present paper, we study the pointwise approximation of nonlinear multivariate singular integral operators having convolution type kernels of the form:T (f; x) =ZDK (t x; f(t)) dt; x 2 D; 2 ;where D =ni=1 hai; bii is open, semi-open or closed multidimensional arbitrarybounded box in Rn or D = Rn and is non-empty the set of non-negativeindices, at a -generalized Lebesgue point of f 2 Lp(D): Also, we investigatethe corresponding rates of convergences at this point
Exact Solution of a Linear Difference Equation in a Finite Number of Steps
Get PDFAn exact solution of a linear difference equation in a finite number of steps has been obtained. This refutes the conventional wisdom that a simple iterative method for solving a system of linear algebraic equations is approximate. The nilpotency of the iteration matrix is the necessary and sufficient condition for getting an exact solution. The examples of iterative equations providing an exact solution to the simplest algebraic system are presented
Some Numerical Techniques For Solving Nonlinear Fredholm-Volterra Integral Equation
Get PDFin this paper, the existence and uniqueness of the solution of nonlinear Fredholm-Volterra integral equations is consider (NF-VIE) with continuous kernel, then we use a numerical method to reduce this type of equation to a system of Fredholm integral equation.Trapeziodal rule, Simpson rule,and Romberg integralmethod are used to solve the Fredholm integral equation of the second kind with continuous kernel. The errorin each is calculated