Note on measures
Note on simultaneous solutions of a system of Schröder's equations
We investigate simultaneous solutions of a system of Schroder's functional equations. Under certain assumptions these solutions are used in transformations of functional-differential equations the initial set of which consists of the initial point only.
Note on the differentiability of solutions of class Cr of a functional equation with respect to a parameter.
Note on the equation (...-...)f = 0.
Note on the existence of continuous solutions of a functional equation of n-th order
Note on the existence of iteration groups
Note on the local growth of iterated polynomials.
Note on the persistent property of a discrete Lotka-Volterra competitive system with delays and feedback controls.
Note to the paper "A model of competition" (Appl. Math. (Warsaw) 39 (2012), 293-303)
Notes on Qi type integral inequalities.
Notes on stability of the generalized gamma functional equation.
Notes sur le calcul isobarique
Nowhere differentiable solutions of a system of functional equations.
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
We introduce and analyze a numerical strategy to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. In particular, we consider the simplest case possible: An elliptic equation on the d-dimensional lattice with independent and identically distributed conductivities on the associated edges. Recent results by Otto and the author quantify the error made by approximating the homogenized coefficient by the averaged energy of a regularized corrector (with...
Numerical approximation of effective coefficients in stochastic homogenization of discrete elliptic equations
We introduce and analyze a numerical strategy to approximate effective coefficients in stochastic homogenization of discrete elliptic equations. In particular, we consider the simplest case possible: An elliptic equation on the d-dimensional lattice with independent and identically distributed conductivities on the associated edges. Recent results by Otto and the author quantify the error made by approximating the homogenized coefficient by the averaged energy of a regularized corrector (with...
Numerical blow-up time for a semilinear parabolic equation with nonlinear boundary conditions.
Numerical experiments in Fourier asymptotics of Cantor measures and wavelets.
Numerical exploration of Kaldorian macrodynamics: Hopf-Neimark bifurcations and business cycles with fixed exchange rates.
Numerical range and related nonlinear functional equations
On (1, bp)-replicative functions with isolated discontinuities.