Approximation of mixed type functional equations in -Banach spaces.
AQCQ-functional equation in non-Archimedean normed spaces.
Arithmetic based fractals associated with Pascal's triangle.
Our goal is to study Pascal-Sierpinski gaskets, which are certain fractal sets defined in terms of divisibility of entries in Pascal's triangle. The principal tool is a carry rule for the addition of the base-q representation of coordinates of points in the unit square. In the case that q = p is prime, we connect the carry rule to the power of p appearing in the prime factorization of binomial coefficients. We use the carry rule to define a family of fractal subsets Bqr of the unit square, and we...
Arithmetic properties of the solutions of a class of functional equations.
Arithmetical aspects of certain functional equations
The classical system of functional equations (n ∈ ℕ) with s ∈ ℂ, investigated for instance by Artin (1931), Yoder (1975), Kubert (1979), and Milnor (1983), is extended to (n ∈ ℕ) with complex valued sequences . This leads to new results on the periodic integrable and the aperiodic continuous solutions F:ℝ₊ → ℂ interrelating the theory of functional equations and the theory of arithmetic functions.
Arithmetical sequences and systems of functional equations.
Associativity in a Class of Operations on Spaces of Distribution Functions.
Asymptotic analysis of a class of functional equations and applications
Flajolet and Richmond have invented a method to solve a large class of divide-and-conquer recursions. The essential part of it is the asymptotic analysis of a certain generating function for by means of the Mellin transform. In this paper this type of analysis is performed for a reasonably large class of generating functions fulfilling a functional equation with polynomial coefficients. As an application, the average life time of a party of people is computed, where each person advances one...
Asymptotic and oscillatory behavior of second order neutral quantum equations with maxima.
Asymptotic behavior of a competitive system of linear fractional difference equations.
Asymptotic behavior of a discrete nonlinear oscillator with damping dynamical system.
Asymptotic behavior of a system of linear fractional difference equations.
Asymptotic behavior of discrete solutions to impulsive logistic equations.
Asymptotic behavior of equilibrium point for a family of rational difference equations.
Asymptotic behavior of impulsive infinite delay difference equations with continuous variables.
Asymptotic behavior of solutions for neutral dynamic equations on time scales.
Asymptotic behavior of solutions for nonlinear Volterra discrete equations.
Asymptotic behavior of solutions of a scalar delay difference equations with continuous time.
Asymptotic behavior of solutions of a third order difference equation
Asymptotic behavior of solutions of nonlinear difference equations
The nonlinear difference equation where are real sequences, , is a sequence of integers and , is investigated. Sufficient conditions for the existence of solutions of this equation asymptotically equivalent to the solutions of the equation are given. Sufficient conditions under which for every real constant there exists a solution of equation () convergent to this constant are also obtained.