Communications in Difference Equations

Proceedings of the Fourth International Conference on Difference Equations

Saber N. Elaydi, Jerry Popenda, Jerry Rakowski

• Publisher: CRC Press
• Year: 2000
• eBook ISBN: 9781040211632
• Edition: 0
• Topic: Mathematics
• Subtopic: Differential Equations
• Index: Mathematics

Diffractional Optics of Millimetre Waves combines those elements of diffraction theory normally associated with optics, including Gaussian beams, lenses, and mirrors, and extends them into the micro- and millimetre wavelength range. In this regime there are a number of applications in devices, such as automobile proximity sensors, satellite-TV receiving antennae, and non-destructive testing systems. Researchers working in these areas would benefit from greater understanding of the diffraction phenomena involved. A translated and updated version of the authors' book Diffraction Quasioptics, this book will present results formerly unavailable in the general literature.

Table of contents

• Cover
• Half Title
• Series Page
• Title Page
• Copyright Page
• Dedication
• Table of Contents
• Preface
• Contributors
• Universal Functions Oncomplex Special Linear Groups
• Branching Random Walk With a Single Source
• Difference Equations In Groups
• Geometry Of First Integrals For 2Nd Order Difference Equations
• Behavior Of Solutions Of Perturbed Quasilinear Difference Equations
• Identities For Orthogonality And Applications
• On The Nonautonomous Difference Equation xn+1=max{xn,An}xnxn-1
• Central Limit Theorems For Linear, Nonlinear And Mixing Processes
• Invitation To Partial Difference Equations
• Retract Principle For Difference Equations
• On A Phase Pattern Structure Of Unimodal 2-Endomorphisms
• Trigonometric Transformation And Oscillatory Properties Of Second Order Difference Equations
• On Global Bifurcation Theory of Polynomial Dynamical Systems and Its Applications
• Global Stability In Some Population Models
• Recurrence Equations In Solving Operator Equations Of The Special Type
• On Disconjugacy For Vector Linear Hamiltonian Systems On Time Scales
• A note on the asymptotic properties of some nonautonomous matrix difference equations
• A Generalization Of The Milloux-Hartman Theorem For Nonlinear Systems
• Spatial Discretization Of Pullback Attractors Of Nonautonomous Difference Equations
• A Discrete Nonlinear And Non-Autonomous Model Of Consensus Formation
• Trajectories For The Case Of A Rational System Of Difference Equations
• Applying The System Derive To Investigate The Truncation Related To The Monomials Defined On The Set Of Natural Numbers
• Analysis of Influence of Selected Parameters On The Behaviour Of The Discrete Logistic Equation
• Asymptotic Behaviour Of Oscillatory Solutions Of A Second Order Difference Equation
• Chaotic Bifurcations Along Algebraic Curves
• Discrete Approximations And Computer Investigations Of Isolated Invariant Sets
• Semi–Hyperbolicity And Inverse Shadowing
• Fundamental Solutions For Infinite Discrete Beams On Elastic Foundation
• Discrete Classical Orthogonal Polynomials And Interferometry
• A Reid Type Roundabout Theorem For Second Order Half-Linear Difference Equations And Some Of Its Applications
• Some Applications Of Stochastic Equations To Industrial Problems
• On The Behavior Of Solutions Ofhigher Order Difference Equation
• On Exponential Dichotomyand Invariant Setsof Impulsive Systems
• Optimal Sequential Search Of Order2(2m – 1)
• Algorithms For Computing The Distanceto Instability
• Stability and Boundedness of Delay Difference Systems in Terms of Two measures *