The maximal solution of a restricted subadditive inequality in numerical analysis.
The method of lower and upper solutions for periodic and anti-periodic difference equations.
The method of variation of parameters in the theory of linear sequences
The multidimensional -transform and its use in solution of partial difference equations
The octahedron equation implies the cube equation: an elementary proof.
The order-independence of the polylogarithmic ladder structure - implications for a new category of functional equations.
The oscillation of an th order perturbed nonlinear difference equation
We offer sufficient conditions for the oscillation of all solutions of the perturbed difference equation
The periodic character of the difference equation .
The periodic solutions of the second order nonlinear difference equation.
Periodic and asymptotically periodic solutions of the nonlinear equation Δ2xn + anf(xn) = 0, n ∈ N, are studied.
The Picard boundary value problem for a third order stochastic difference equation
The rational qKZ equation and shifted non-symmetric Jack polynomials.
The real-analytic solutions of the Abel functional equation
For the Abel equation on a real-analytic manifold a dynamical criterion of solvability in real-analytic functions is proved.
The robustness of strong stability of positive homogeneous difference equations.
The role of functional equations in stochastic model building.
The Schröder equation and asymptotic properties of linear delay differential equations.
The Second Half-With a Quarter of a Century Delay
We show how results by Diekmann et al. (2007) on the qualitative behaviour of solutions of delay equations apply directly to a resource-consumer model with age-structured consumer population.
The set of probability distribution solutions of a linear functional equation
Let (Ω,,P) be a probability space and let τ: ℝ×Ω → ℝ be a function which is strictly increasing and continuous with respect to the first variable, measurable with respect to the second variable. Given the set of all continuous probability distribution solutions of the equation we determine the set of all its probability distribution solutions.
The Shannon kernel of a non-negative information function.
The sine functional equation for groups
The solution of a system of quadratic functional equations