DIFFERENCE EQUATIONS AND APPLICATIONS
CONTENTS SIMPLE FLOQUET THEORY ON TIME SCALES A CONDITION FOR TRANSITIVITY OF LORENZ MAPS ITERATED MULTIFUNCTION SYSTEMS INVARIANT MANIFOLDS AS PULLBACK ATTRACTORS OF NONAUTONOMOUS DI?ERENCE EQUATIONS DETERMINATION OF INITIAL DATA GENERATING SOLUTIONS OF BERNOULLI’S TYPE DI?ERENCE EQUATIONS WITH PRESCRIBED ASYMPTOTIC BEHAVIOR SOLUTIONS BOUNDED ON THE WHOLE LINE FOR PERTURBED DI?ERENCE SYSTEMS RATIONAL THIRD-ORDER DI?ERENCE EQUATIONS DECAYING SOLUTIONS FOR DI?ERENCE EQUATIONS WITH DEVIATING ARGUMENT A DI?ERENTIAL AND DI?ERENCE EQUATION WITH A CONSTANT DELAY SOME DISCRETE NONLINEAR INEQUALITIES AND APPLICATIONS TO BOUNDARY VALUE PROBLEMS THE ASYMPTOTIC STABILITY OF X(N + K) + AX(N) + BX(N ?L) = 0 NONOSCILLATORY SOLUTIONS OF THIRD-ORDER DI?ERENCE EQUATIONS GLOBAL STABILITY OF PERIODIC ORBITS OF NONAUTONOMOUS DI?ERENCE EQUATIONS IN POPULATION BIOLOGY AND THE CUSHING-HENSON CONJECTURES SYMPLECTIC FACTORIZATIONS AND THE DE?NITION OF A FOCAL POINT SECOND SMALLER ZERO OF KNEADING DETERMINANT FOR ITERATED MAPS BIFURCATION OF ALMOST-PERIODIC SOLUTIONS IN A DI?ERENCE EQUATION THE HARMONIC OSCILLATOR – AN EXTENSION VIA MEASURE CHAINS SOLUTION OF DIRICHLET PROBLEMS WITH DISCRETE DOUBLE-LAYER POTENTIALS MOMENTS OF SOLUTIONS OF LINEAR DI?ERENCE EQUATIONS TIME-VARIANT CONSENSUS FORMATION IN HIGHER DIMENSIONS ASYMPTOTIC PROPERTIES OF SOLUTIONS OF THE DI?ERENCE EQUATION ?X(T) = ?AX(T) + BX(?(T)) OSCILLATION THEOREMS FOR A CLASS OF FOURTH-ORDER NONLINEAR DI?ERENCE EQUATIONS ITERATES OF THE TANGENT MAP – THE BIFURCATION SCHEME DI?ERENCE EQUATIONS FOR PHOTON-NUMBER DISTRIBUTION IN THE STATIONARY REGIME OF A RANDOM LASER THE SYSTEM OF TWO DI?ERENCE EQUATIONS XN+1 = (P + YN?K)/YN, YN+1 = (Q + XN?K)/XN ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF CERTAIN SECOND-ORDER NONLINEAR DI?ERENCE EQUATIONS ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THE FUZZY DI?ERENCE EQUATION XN+1 = A + PK I=0 AIXN?I B + PK I=0 BIXN?I THE GAUSS HYPERGEOMETRIC SERIES WITH ROOTS OUTSIDE THE UNIT DISK SYMBOLIC DYNAMICS GENERATED BY AN IDEALIZED TIME-DELAYED CHUA’S CIRCUIT