5 citations · 10 across the 5 of their papers we have counts for
6 papers
Dynamical system modeling fermionic limit
Dorota Bors, Robert Stańczy
The existence of multiple radial solutions to the elliptic equation modeling fermionic cloud of interacting particles is proved for the limiting Planck constant and intermediate va…
Global invertibility and implicit function theorems by mountain pass theorem
Dorota Bors, Robert Stańczy
We formulate some global invertibility and implicit function theorems. We extend the result of Idczak, Skowron and Walczak on the invertibility of the operators to the case of the…
Optimal control of nonlinear systems governed by Dirichlet fractional Laplacian in the minimax framework
Dorota Bors
We consider an optimal control problem governed by a class of boundary value problem with the spectral Dirichlet fractional Laplacian. Some sufficient condition for the existence o…
Application of Mountain Pass Theorem to superlinear equations with fractional Laplacian controlled by distributed parameters and boundary data
Dorota Bors
In the paper we consider a boundary value problem involving a differential equation with the fractional Laplacian for and some superlinear and…
Systems described by Volterra type integral operators
Dorota Bors, Andrzej Skowron, Stanisław Walczak
In the paper some sufficient condition for the nonlinear integral operator of the Volterra type to be a diffeomorphism defined on the space of absolutely continuous functions are f…
Some nonlinear second order equation modelling rocket motion
Dorota Bors, Robert Stańczy
In this paper, we consider a nonlinear second order equation modelling rocket motion in the gravitational field obstructed by the drag force. The proofs of the main results are bas…