Poznámka k integrování některých differenciálních rovnic lineárních
Poznámka o postupných aproximacích řešení obyčejné diferenciální rovnice
Poznámky o charakteristické rovnici jisté transformace
Practical -stability behavior of time-varying nonlinear systems
We deal with the problem of practical uniform -stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform -stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.
Practical Lyapunov stability criteria for differential algebraic equations
Practical method for solving differential equations and their systems bu means of Taylor series
Practical Stability in Terms of Two Measures for Hybrid Dynamic Systems
We study hybrid dynamic systems on time scales. Using Lyapunov-like functions, we obtain sufficient conditions for practical stability and strict practical stability in terms of two measures for hybrid dynamic systems on time scales.
Practice of operator relationships in symbolical calculus.
Principal solutions and transformations of linear Hamiltonian systems
Sufficient conditions are given which guarantee that the linear transformation converting a given linear Hamiltonian system into another system of the same form transforms principal (antiprincipal) solutions into principal (antiprincipal) solutions.
Problema di trasporto e equazione di Cauchy per campi vettoriali a variazione limitata
In questa conferenza descrivo alcuni recenti sviluppi relativi al problema dell'unicità per l'equazione differenziale ordinaria e per l'equazione di continuità per campi vettoriali debolmente differenziabili. Descrivo infine un'applicazione di questi risultati a un sistema di leggi di conservazione.
Problème spectral inverse et équation de Szegö cubique
Dans un exposé précédent [1], nous avons justifié l’introduction de l’équation de Szegö cubique comme cas modèle d’équation de type Schrödinger sans dispersion. Ce cas modèle s’est révélé être intéressant sous divers aspects [2]. Dans cet exposé, nous nous attacherons à montrer comment la complète intégrabilité de l’équation de Szegö cubique permet de résoudre un problème spectral inverse pour les opérateurs de Hankel.
Problèmes aux limites pour des inclusions différentielles sans condition de croissance
Abstract. Applying the topological transversality method of Granas and the a priori bounds technique, we prove some existence theorems for diflerential inclusions of the form x" ∈ F(t, x, x'), x ∈ ℬ, where F is a Carathéodory multifunction with convex, compact values. No growth condition will be imposed on F.
Problèmes de modules pour des équations différentielles non linéaires du premier ordre
Problèmes inverses pour des équations différentielles sur la droite
Problems without initial conditions for degenerate implicit evolution equations.
Product Integration in Reflexion Banach Spaces.
Programming of differential equations with singularitiens of the type in using the extension to power series
Projection methods for retarded functional differential equations
Prolongement des solutions d’une équation différentielle -adique
Proof of the De Gennes formula for the superheating field in the weak κ limit