Everted equilibria of a spherical cap : a singular perturbation method
Funktionen beschränkter Homogenität.
Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilité finie
Pour tout triplet d’entiers tels que , se pose la question d’étudier les germes de difféomorphismes ou de champs de vecteurs sur , de classe , -déterminés en classe , c’est-à-dire respectivement conjugués ou équivalents en classe , à tout germe ayant la même classe et le même -jet. Cette question est abordée ici, avec quelque généralité en dimension 2 et pour les germes de champs de vecteurs de codimension 2, en dimension 3 et 4. Une conséquence de cette dernière étude est l’existence...
Global solvability criteria for quaternionic Riccati equations
Some global existence criteria for quaternionic Riccati equations are established. Two of them are used to prove a completely non conjugation theorem for solutions of linear systems of ordinary differential equations.
Global theory of ordinary linear homogeneous differential equations in the real domain - II.
Increasing solutions of Thomas-Fermi type differential equations - the sublinear case
Linear differential equations of the second order with elementary basic central dispersions
Local invariance via comparison functions.
Mathematical Modelling of Cancer Stem Cells Population Behavior
Recent discovery of cancer stem cells in tumorigenic tissues has raised many questions about their nature, origin, function and their behavior in cell culture. Most of current experiments reporting a dynamics of cancer stem cell populations in culture show the eventual stability of the percentages of these cell populations in the whole population of cancer cells, independently of the starting conditions. In this paper we propose a mathematical model...
Modifying some foliated dynamical systems to guide their trajectories to specified sub-manifolds
We show that dynamical systems in inverse problems are sometimes foliated if the embedding dimension is greater than the dimension of the manifold on which the system resides. Under this condition, we end up reaching different leaves of the foliation if we start from different initial conditions. For some of these cases we have found a method by which we can asymptotically guide the system to a specific leaf even if we start from an initial condition which corresponds to some other leaf. We demonstrate...
O nekim osobinama rešenja jednačina
On a nonlinear problem for third-order differential equations
On an algebraic structure of a group of phases
On Kneser-type solutions of sublinear ordinary differential equations
On monotone solutions of the fourth order ordinary differential equations
On solutions of differential equations tending to zero.
On some properties of the solutions of the third order nonlinear differential equations with delay
On the Asymptotic Relationship at Infinity between the solutions of two Differential Systems
On the Floquet theory of differential equations with a complex coefficient of the real variable
On the intersection of groups of increasing dispersions in two second order oscillatory differential equations