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Showing 1 to 20 of 28 for “"difference equation"”.
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Applications Of Leggett Williams Type Fixed Point Theorems To A Second Order Difference Equation
… of solutions for a class of second-order difference equations with Dirichlet boundary conditions. We present these fixed point theorems and then show what conditions have to be met in order to satisfy the theorem. Finally, we provide specific examples to show the hypotheses of the theorems …
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Behavior of Solutions of Second Order Difference Equations.
The purpose of this paper is to consider the difference equation together with several theorems concerning the behavior of solutions to second order differential equations. We attempt to show that some of the results carry over to the above mentioned difference equation.
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Generalizations of Certain Results on Continued Fraction
… continued fraction arises from a three-term q-difference equation. We consider (m + 1)-term q-difference equations and also a generalization of the continued fraction algorithm called a G-continued fraction. We obtain a general expansion of the quotient of two contiguous basic hypergeometric …
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The perception of moderate and large color differences in photographic prints: an evaluation of five color-difference equations
… of determining which of many available color-difference formulae is appropriate for any give application can be arduous. Researchers and practitioners alike are faced with the selection of one formula which best describes perceived color differences under conditions in which the equation is to …
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Ultrasonic fields in fluids: theoretical prediction using difference equations and three dimensional measurement using optical techniques
… bulk ultrasonic fields which uses implicit difference equations to evaluate the parabolic approximation to the Helmholtz equation is described. The parabolic approximation assumes that the field varies much faster in the transverse directions than in the direction of propagation and results …
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Boundary data smoothness for solutions of nonlocal boundary value problems.
… under certain conditions partial derivatives and differences exist, with respect to boundary conditions, for solutions of nonlocal boundary value problems and solve the variational equation in the derivative case and a specific linear difference equation in the difference case. Lastly, we provide …
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Discrete and dynamic population models with logistic growth rate
<p>"The Beverton-Holt difference equation defines a discrete relation describing a population model. Considering periodic carrying capacity and periodic inherent growth rate, a population with seasonal changing life cycle and environment is reflected. The so-called periodically forced Beverton-Holt …
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Response of periodic structures
… to harmonic excitation is described by a matrix difference equation. The solution of the matrix difference equation can be obtained by the Z-Transform method and it yields the response to both end conditions and external excitations. The method developed necessitates the eigenvalues of the …
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Asymptotic Behavior of Solutions to Difference Equations Involving Ratios of Elementary Symmetric Polynomials
… behavior of positive solutions of the recursive equation $y_n=\left(\frac{e_{i,k}}{e_{j,k}}\right)(y_{n-t_1},y_{n-t_2},\dots,y_{n-t_k}), 0\leq i, j \leq k$, where $e_{m,k}$ is the $m^{th}$ elementary symmetric polynomial on $k$ variables, $t_l \geq 1$ for $1\leq l\leq k$, …
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Acoustic scattering in waveguides with smoothly-varying or discontinuous elastic boundaries
… by Roseau and Evans, generates a functional difference equation, the solution to which enables fluid velocity potential to be written as an explicit integral transform. The two main problems to which the method is applied are a two-dimensional waveguide with a varying impedance condition and …
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Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model
… is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of …
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NABLA Fractional Calculus and Its Application in Analyzing Tumor Growth of Cancer
… calculus. Then we introduce fractional difference equations involving the Riemann-Liouville operator of real number order between zero and one. In the second chapter, we apply the Brouwer fixed point and Contraction Mapping Theorems to prove that there exists a solution for up to the …
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Compartmental and Simulation Models for Evaluating MedKit Prepositioning Strategies for Anthrax Attack Response
… attack. We develop a discrete-time compartmental difference equation model to analyze the policy. The results show that distributing any number of MedKits reduces the number of deaths expected in all scenarios tested. We analyze under what circumstances the MedKits have the largest life-saving …
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Some results of the algebra of currents in weak interactions. Part I: The decays K -> 2pi and K -> 2 pi gamma; Part II: Relation between vector and axial-vector cabibbo angles in broken SU(3) symmetry
… AI = 1/2 caused by the electromagnetic mass .difference [equation] as has been conjectured by some authors but has to be aqcounted for by the I = 3/2 part of the weak Hamiltonian. We also look for effects of CP violation in differences of the decay rates [equation] and [equation] in the theory …
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First Order Linear Systems
… is to describe a physical situation by a set of equations in order to solve real life problems. Most natural events can be expressed as differential and difference equations. In this respect, <em>Ordinary Differential Equations (ODE)</em> are one of the most useful parts of mathematics for theory …
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Sensitivity analysis of oscillating hybrid systems
… and initial conditions for the sensitivities. A difference equation analysis of general homogeneous equations and parametric sensitivity equations with linear periodic piecewise continuous coefficients is presented. It is noted that the monodromy matrix for these systems is not a fundamental …
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Discrete Fractional Calculus and Its Applications to Tumor Growth
… world problems. For instance, one can take the "difference" of any function, from 1st order up to the <i>n</i>-th order with discrete calculus. However, it is also possible to extend this theory by means of discrete fractional calculus and make <i>n</i>- any real number such that the ½-th order …
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Super-resolution image reconstruction from low-resolution images
… first-order derivates and the use of first-order difference equation to extract the features from the low-resolution images are described and shown to improve the method of single image super-resolution using sparse representation. The proposed method has shown to reduces the computational time …
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Modeling Mortality of Loblolly Pine Plantations
… number reduction were developed using algebraic difference equation method. In the second approach, a two-step modeling strategy was used where a model predicting the probability of tree death occurring over a period was developed in the first step and a function that estimates the reduction in …
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A Rational Expectations Equilibrium Model Of A Small, Specialized Economy
… Output is predicted to follow a stochastic difference equation disturbed by unanticipated movements in the terms of trade and the world price level, as well as by a serially correlated productivity shock. The model also makes predictions about the balance of payments, the price level, and …
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