1 citations · 1 across the 4 of their papers we have counts for
4 papers
Generalized Kolmogorov systems with applications to astrophysics and biology
Dorota Bors, Robert Stańczy
We consider generalized Kolmogorov system. We prove the existence of heteroclinic trajectory. We apply the results to astrophysical models for self-gravitating particles and predat…
Dynamical system describing cloud of particles in relativistic and non-relativistic framework
Robert Stańczy, Dorota Bors
We consider fairly general class of dynamical systems under the assumptions guaranteeing the existence of Lyapunov function around some nontrivial stationary point. Moreover, the e…
Tolman-Oppenheimer-Volkoff Equation
Dorota Bors, Robert Stańczy
The existence of solutions to Tolman-Openheimer-Volkoff equation with linear equation of state modeling relativistic cloud of interacting particles is proved for mass parameter bel…
On stationary solutions to reaction-diffusion equations with nonlocal term
Robert Stańczy
In this paper we obtain the existence of a radial solution for some elliptic nonlocal problem with constraints. The problem arises from some reaction-diffusion equation modelling a…