3 papers
math.CA2015
Qualitative approximation of solutions to difference equations
Janusz Migda
We present a new approach to the theory of asymptotic properties of solutions of difference equations. Usually, two sequences are called asymptotically equivalent if the sequ…
math.CA2014
Regional topology and approximative solutions of difference and differential equations
Janusz Migda
We introduce a topology, which we call the regional topology, on the space of all real functions on a given locally compact metric space. Next we obtain a new versions of Schauder'…
math.CA2014
Asymptotically polynomial solutions of difference equations of neutral type
Janusz Migda
Asymptotic properties of solutions of difference equation of the form \[ Δ^m(x_n+u_nx_{n+k})=a_nf(n,x_{σ(n)})+b_n \] are studied. We give sufficient conditions under which all solu…