Topological degree and existence of an infinite number of solutions of a boundary value problem for a singular equation. (Degré topologique et existence d'une infinité de solutions d'un problème aux limites pour une équation singulière.)
Topological dynamics and the extension of Lyapunov's method
Topological entropy and differential equations
On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.
Topological equivalence and topological linearization of controlled dynamical systems
Topological properties of solution sets for functional differential inclusions governed by a family of operators.
Topological properties of solution sets for sweeping processes with delay.
Topological properties of the solution set of a class of nonlinear evolutions inclusions
In the paper we study the topological structure of the solution set of a class of nonlinear evolution inclusions. First we show that it is nonempty and compact in certain function spaces and that it depends in an upper semicontinuous way on the initial condition. Then by strengthening the hypothesis on the orientor field , we are able to show that the solution set is in fact an -set. Finally some applications to infinite dimensional control systems are also presented.
Topological properties of the solution set of integrodifferential inclusions
In this paper we examine nonlinear integrodifferential inclusions in . For the nonconvex problem, we show that the solution set is a retract of the Sobolev space and the retraction can be chosen to depend continuously on a parameter . Using that result we show that the solution multifunction admits a continuous selector. For the convex problem we show that the solution set is a retract of . Finally we prove some continuous dependence results.
Topological structure of solution sets of differential inclusions: the constrained case.
Topological structure of solution sets to multi-valued asymptotic problems.
Topological transversality. Applications to initial-value problems
Topologická klasifikácia diferenciálnych rovníc a štrukturálna stabilita
Total oscillatory behaviour globally in the delays
Total separation and asymptotic stability.
Total stability in abstract functional differential equations with infinite delay.
Total stability properties based on fixed point theory for a class of hybrid dynamic systems.
Total stability property in limiting equations for a functional-differential equation with infinite delay
Totally bounded differential polynomial systems in
Totally bounded differential systems in are defined as having all trajectories bounded. By Dulac’s finiteness theorem it is proved that totally bounded polynomial systems exhibit an unbounded «annulus» of cycles. The portrait of the remaining trajectories is examined in the case the system has, in , a unique singular point. Work is in progress concerning the study of totally bounded polynomial systems with two singular points.
Toward a two-step Runge-Kutta code for nonstiff differential systems
Various issues related to the development of a new code for nonstiff differential equations are discussed. This code is based on two-step Runge-Kutta methods of order five and stage order five. Numerical experiments are presented which demonstrate that the new code is competitive with the Matlab ode45 program for all tolerances.
Towards finite-gap integration of the Inozemtsev model.