3 papers
math.DS2026
Generalized Kolmogorov systems with applications to astrophysics and biology
Dorota Bors, Robert StaÅczy
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…
math-ph2024
Dynamical system describing cloud of particles in relativistic and non-relativistic framework
Robert StaÅczy, 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…
gr-qc2024
Tolman-Oppenheimer-Volkoff Equation
Dorota Bors, Robert StaÅczy
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…