Das Wachstum ganzer Lösungen gewisser linearer Funktional-Differentialgleichungen.
Decaying Regularly Varying Solutions of Third-order Differential Equations with a Singular Nonlinearity
This paper is concerned with asymptotic analysis of strongly decaying solutions of the third-order singular differential equation , by means of regularly varying functions, where is a positive constant and is a positive continuous function on . It is shown that if is a regularly varying function, then it is possible to establish necessary and sufficient conditions for the existence of slowly varying solutions and regularly varying solutions of (A) which decrease to as and to acquire...
Der verallgemeinerte Ljapunovsche Oszillationssatz
Die möglichen Wachstumsordnungen der Lösungen von linearen Differentialgleichungen.
Dispersions for linear differential equations of arbitrary order
For linear differential equations of the second order in the Jacobi form O. Borvka introduced a notion of dispersion. Here we generalize this notion to certain classes of linear differential equations of arbitrary order. Connection with Abel’s functional equation is derived. Relations between asymptotic behaviour of solutions of these equations and distribution of zeros of their solutions are also investigated.
Dynamical systems modelled by third order differential equations with special respect to the influence of the restoring term on the properties of solutions
Dynamical systems with several equilibria and natural Liapunov functions
Dynamical systems with several equilibria occur in various fields of science and engineering: electrical machines, chemical reactions, economics, biology, neural networks. As pointed out by many researchers, good results on qualitative behaviour of such systems may be obtained if a Liapunov function is available. Fortunately for almost all systems cited above the Liapunov function is associated in a natural way as an energy of a certain kind and it is at least nonincreasing along systems solutions....
Dynamics of a class of uncertain nonlinear systems under flow-invariance constraints.
Dynamics of logistic equations with non-autonomous bounded coefficients.
Dynamics of polynomial systems at infinity.